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Nikhil Chaudhari asked a question
Subject: Math, asked on on 28/12/11

Find the equation of the common tangent of parabola y2=4ax and x2=4by.
Prahalad.v.rao asked a question
Subject: Math, asked on on 27/2/17
Tangents are drawn to the circle x2+y2= 16 at the points where it is met by the circle x2+y2-5x+3y-2=0, the point of intersection of these tangetnts is ?
Nikhil Chaudhari asked a question
Subject: Math, asked on on 18/1/12

Show that the semi latus rectum of the parabola y2 = 4ax is a harmonic mean between the segment of any focal chord.
Elena Gupta asked a question
Subject: Math, asked on on 21/7/16
Find the equation of the circle having centre in the first quadrant, touching the x-axis, having a common tangent y= (sqrt3) x + 4 with the circle x^2 + y^2 + 4x + 4y + 4 = 0 such that the distance between the two circles along the x-axis is 3 units.
Shaema Shuaib asked a question
Subject: Math, asked on on 21/11/12

an equilateral triangle is inscribed in the parabola y2=4ax,where one vertex is at the vertex of the parabola.find the length of the side of the triangle.pls answer me as soon as possible.
Abhishek Gopakumar asked a question
Subject: Math, asked on on 24/8/18
The equation of circle(s) that touch the parabola 75y^2=64(5x-3) at (6/5,8/5) and the x-axis is/are??
Kinjalk Bajpai asked a question
Subject: Math, asked on on 2/10/14

The focus of parabola is (1,5) and its directrix is x + y + 2 = 0. Find the equation of the parabola, its vertex and length of latus rectum.
Simran Singh asked a question
Subject: Math, asked on on 23/11/17
transverse axis of a hyperbola is of length 2a and a vertex dvides the segment of the axis between the centre and the corresponding focus in ratio 2:1, then the equation of hyperbola is?
( Ans. 5x^2 -4y^2 = 5a^2 )
Diksha Verma asked a question
Subject: Math, asked on on 18/10/14

the line lx + my +n=0 is a normal to the parabola y^2 = 4ax if
Aakash Ratha asked a question
Subject: Math, asked on on 16/10/16
Length of common chord of the circles x^2+y^2+5x+7y+9=0 and x^2+y^2+7x+5y+9=0 is
(a)8
(b)9
(c)7
(d)6
Sumit Jha asked a question
Subject: Math, asked on on 16/12/12

find the equation of the circle circumscribing the triangle formed by the lines x + y = 6, 2x + y = 4 and x + 2y = 5
Satyam Raj asked a question
Subject: Math, asked on on 4/9/17
if the chord of contact of tangents from a point P(h,k) to the circle x2 + y2 = a2 touches the circle x2 + (y-a)2 = a2, then locus of P is
Nida Firdous asked a question
Subject: Math, asked on on 22/10/12
  1. Find the equation of the circles which touch the axis of x at a distance of 4 from the origin and cut off an intercept of 6 from the axis of y
  2. A circle having its centre in the first quadrant touches the y axis at a point (0,2) and passes through the point (1,0).Find the equation of the circle 
  3. calculate the co ordinatesof the foot of the perpendicular from the point (-4,2)to the line 3x+2y=5 . find the equation of the smallest circle passing through(-4,2) and having its centre on the line 3x+2y=5        
Joy asked a question
Subject: Math, asked on on 12/8/14

find the equation of those tangents to the circle x2+y2-2x-4y-4=0 which are parallel to the line 3x-4y-1=0
Himalayan Progressive School asked a question
Subject: Math, asked on on 21/11/12

find the locus of the mid point of the portion of the line x cosa +yp sin a = p which is intercepted between the axis ??
kritikasharma_bwr... asked a question
Subject: Math, asked on on 21/12/11

 Find the equation of the circle which has its centre at the point (3,4) and touches the straight the line 5x+12y-1=0.

Find the equqtion of the circle which touches the axes and whose centre lies on x-2y=3.

A circle whose centre is the point of the intersection of the lines 2x-3y+4=0 and 3x+4y-5=0 passes through the origin. find its equation.

A circle of radius 4 units touches the coordinate axes in the first quadrant. Find the equation of its images with respect to the line mirrors x=0 and y=0.

One diameter of the circle circumscribing the rectangle ABCD is 4y=x+7. If the coordinates of A and B are (-3,4) and (5,4) respectively. Find its equation.
Aman Gaur asked a question
Subject: Math, asked on on 10/9/15
IF THE ECCENTRICITY OF THE ELLIPSE X SQUARE /(A SQUARE + 1) + Y SQUARE / ( A SQUARE + 2 ) = 1 IS ( 1/ SQUARE ROOT OF 6 ) THEN LATUS RECTUM OF ELLIPSE IS ANSWER ----- 10 / ROOT 6
Bharat Rajani asked a question
Subject: Math, asked on on 6/1/13

Find the equations of circle passing through the points (1,1),(2,2) and whose radius is 1 units?
Elena Gupta asked a question
Subject: Math, asked on on 21/7/16
show that the equation x^2 +y^2-2x-2ay-8=0 represents for different values of a ,a system of circle passing through two fixed points a b on the x axis and find the equation of that circle of the system  the tangents to which at A,B meet on the line x+2y+5=0
Anushka asked a question
Subject: Math, asked on on 2/2/14

Prove that (-1,6), (5,2), (7,0), and (-1,-4) are concyclic.
Shashwat Rakesh Dutt asked a question
Subject: Math, asked on on 9/10/13

a tangent to the ellipse x2 + 4y2=4 meets the ellipse x2+2y2=6 at P and Q.the angle between the tangents at P and Q of the ellipse x2 +2y2=6
Sonal Chaudhary asked a question
Subject: Math, asked on on 12/2/13

e


if y = 2x is a chord of the circle x2 + y2 - 10x =0

find the equation of the circle with this chord as diameter
Ayush asked a question
Subject: Math, asked on on 30/7/17
find the locus of intersection of tangents to the circle x=acosQ ,Y=ASINQ at the pints whose parametric angles differ be pie/3 and pie/2
Ranjeeta Yadav asked a question
Subject: Math, asked on on 26/1/13

  1. The centre of a circle passing through the points (0,0) & (1,0) & touching the circle x2+y2=9 is: ans is (1/2 , +-root2)..explain
  2. AB is a chord of circle x2+y2=25 . The tangents of A & B intersect at C. If (2,3) is the mid-point of AB , the area of quadrilateral OACB is:

ams is 50root (3/13) plzz explain

3. Extremities of a dagonal of a rectangle are (0,0) & (4,3).Find the equations of the tangents to the circumcentre ofthe reactangle which are parallel to this diagonal.

4. Find the equ. of circle described on the common cord of the circles x2+y2-4x-5=0 & x2+y2+8y+7=0 as diameter.

ans is x2+y2-2x+4y+1=0..explain.
Satyam Raj asked a question
Subject: Math, asked on on 3/9/17

The members of a family of circles are given by the equation 2 (x2+ y2) + λx -(1 + λ2) y -10 = 0. The number of circles belonging to the family that are cut orthogonally by the fixed circle x2 + y2 + 4x + 6y + 3 = 0 is

(A) 2

(B) 1

(C) 0

(D) none of these
Ravi Kant asked a question
Subject: Math, asked on on 18/8/12

The parametric equations of a parabola are x=t2 +1, y=2t+1.The cartesian equation of its directrix is

a) x=0 b)x+1=0 c)y=0 d) none of these
Ishank Aggarwal asked a question
Subject: Math, asked on on 5/2/16
​​ Find the length of the chord of the ellipse x^2/25 + y^2/16 =1 whose middle point is (1/2,2/5)?
Ayush Srivastava asked a question
Subject: Math, asked on on 16/1/16
TP and TQ are tangents to y2=4ax and the normals at p and q meet at a point r on the curve. find the locus of the center of the triangle tpq.
Satvik Dandale asked a question
Subject: Math, asked on on 30/10/15
The locus of the center of the circle which bisects the circumference of the circles x2 + y2 = 4 and x2 + y2 - 2x +6y +1 = 0 is.
Devansh Saxena asked a question
Subject: Math, asked on on 18/7/15
the locus of the centre of a circle which touches externally circle x^2 + y^2 -6x-6y+14=0 and also touches the y axis is
Sai Sandhya asked a question
Subject: Math, asked on on 16/1/18
Prove that the product of perpendicular drawn from foci to any tangent of the ellipse  x2/a2 +y2/b2 is b2
Chand Sood asked a question
Subject: Math, asked on on 16/7/13

find the equation of the circle passing through origin and cutting off intercepts a and b from x axis and y axis
Ishan Jain asked a question
Subject: Math, asked on on 19/9/18
If the point P(4,-2)is one end of the focal chord PQ of the parabola y^2=x then the slope of tangent at Q is?
Aniket Padhi asked a question
Subject: Math, asked on on 21/11/12

one diameter of the circle circumscribing the rectangle ABCD is 4y=x+7.If the coordinates of A & B are (-3,4) &(5,4) respectively , find the equation of the circle.
. asked a question
Subject: Math, asked on on 29/9/14

the minimum area of triangle formed by tangents to ellipse x2/a2+y2/b2 =1 and the coordinate axes is

  1. ab
  2. (asquare+bsquare)/2
  3. (a+b)square/2
  4. (asquare+ab+bsquare)/3
Tajammul Siddiq asked a question
Subject: Math, asked on on 20/12/14
Find the Equation of the Circle which passes through 2 points on x - axis which are at a distance of 4 units from origin and whose radius is 5 units
Rocky asked a question
Subject: Math, asked on on 26/8/16
The shortest distance between the parabolas y^2 = x-1 and x^2= y-1 is 3?2/k . Then find the value of k .
Please do this question both by Maxima and minima and simple method . Please please please do it by both the methods . Do not forget to do it by both the methods .
Kinjalk Bajpai asked a question
Subject: Math, asked on on 6/10/14

Find the standard equation of ellipse whose focus is (1,0), the directrix is x+y+1=0 and eccentricity is 1/root2
Amol Paunikar asked a question
Subject: Math, asked on on 12/3/18
A variable circle is described to pass through (1,0) and tangent to the curve Y = tan(tan inverse X) the locus of centre of circle is a parabola whose 1.length of latus rectum is 2 root 2, 2.axis of symmetry does the equation X + Y = 1, 3.vertex has the coordinates (3/4, 1/4), 4.directrix is x - y = 0
Sreenidhi Konduri asked a question
Subject: Math, asked on on 31/5/13

A circle of constant radius 'a' passes through origin 'O' and cuts the coordinate axes in points P and Q, then the equation of the locus of the foot of perpendicular from O to PQ is
(a) (x^2+y^2)(1/x^2+1/y^2)=4a^2
(b) (x^2+y^2)(1/x^2+1/y^2)=a^2
(c) (x^2+y^2)^2(1/x^2+1/y^2)=4a^2
(d) (x^2+y^2)(1/x^2+1/y^2)=a^2
Brijkishor asked a question
Subject: Math, asked on on 17/1/15
q.1 find the locus of the feet of the perpendicular drawn from the point (b,0) on tangents to the circle x2+y2 =a2.
Chinmay asked a question
Subject: Math, asked on on 22/5/19
If e1 and e2 are the roots of the equation x^2-ax+2=0 then the value of a for which?
e1 and
e2
are the eccentricites of two hyperbolae, can be

A) 2 * 2^1/2 b) 2.2
C) 2.9 d) pi
Sonal Chaudhary asked a question
Subject: Math, asked on on 12/2/13

if the line 2x - y +1 = 0 touches the circle at the point (2,5) and the center of the circle lies on the line x+y -9 =0 find the eqn of circle
Namrata asked a question
Subject: Math, asked on on 7/11/17
The locus of the point of intersection of two tangents to the hyperbola x^2/a^2-y^2/b^2=1 which makes an angle 60 degree with one another is
Abhijeet Singh asked a question
Subject: Math, asked on on 23/10/15
Find the equation of circle whose centre is (3,-1) and which cut off an intercept of length 6 units from the line 2x-5y+18=0.
Kevin Fernandes asked a question
Subject: Math, asked on on 13/2/16
Show that the points (9,1),(7,9),(-2,12) and (6,10) are concyclic.
Arkajyoti Purkayastha asked a question
Subject: Math, asked on on 17/10/15
Find the locus of the middle point of focal chord of parabola whose eq. is Y^2=4aX(standard eq.)
Athulya asked a question
Subject: Math, asked on on 30/12/13

an ellipse whose foci are(2,4 and (14,9) and touches x)-axis ,then its eccentricity is ?

Harshil Marwah asked a question
Subject: Math, asked on on 27/10/14

the tangent to curv y= x^2 + 6 at a point 1,7 touches the circle x^2+y^2+16x+12y+c=0 at a point q then the coordinates of q are :

ans = -6,-7
Aarya Talgaonkar asked a question
Subject: Math, asked on on 26/10/17
Question 11 please

11)  ​If set of marbles, of radius 5 cm, is poured into a cube of side 1 m. The maximum number of marbles that can be filled into the box are

a)  1000                          b)  2000                           c)  1500                               d)  3000
Siva Raj asked a question
Subject: Math, asked on on 27/6/10

Find the equation of the circle passing through the points (4, 1) and (6, 5) and whose centre is on the line 4x + y = 16.
Harsh Anand asked a question
Subject: Math, asked on on 14/12/17
If P(x1,y1), Q(x2,y2) R(x3,y3) S(x4,y4) are four concyclic points on the rectangular hyperbola xy=c^2 then the coordinates of orthocenter of Triangle
Kshitiz Anand asked a question
Subject: Math, asked on on 9/11/17
Q no9 ans is option b

A tangent to the ellipse 4x2+9y2=36 is cut by the tangent at the extremities of the major axis at T and T'. The circle on TT' as diameter passes through the point 

(A) (0-5)                            (B) (    5, 0 )
(C) (0,0)                                    (D) (3,2)
Priyanshu Sharma asked a question
Subject: Math, asked on on 25/6/16

​
Show that the circle on the chord xcos​​α + ysinα - p = 0 of the circle x2 +y2= a2 as diameter is x2 + y2 - a2-2p(xcosα +​ysinα -p)=0
Vishwatika Manohar asked a question
Subject: Math, asked on on 26/11/13

The foci of a hyperbola coincide with the foci of the ellipse x2/25 + y2/9=1.Find the equation of the hyperbola,if its eccentricity is 2.
Nikhil Chaudhari asked a question
Subject: Math, asked on on 19/12/11

The equations of the tangents drawn from the origin to the circle x2 + y2 - 2rx- 2hy + h2=0 are  :

  1. x=0, y=0
  2. (h2-r2)x-2rhy=0, x=0
  3. y=0,x=4
  4. (h2-r2)x + 2rhy=0,x=0.
rishabh9797... asked a question
Subject: Math, asked on on 19/10/13

if the focus and directrix of a parabola are(3,-4) and x+y+7=0 then its length of latus rectum is??
bilzkashif... asked a question
Subject: Math, asked on on 10/11/10

 how can we derive standard equation of ellipse
Athulya asked a question
Subject: Math, asked on on 30/12/13

Number of points on the ellipse x^2/50+y^2/20=1 from which pair of perpendicular tangents are drawn to the elllipse x^2/16+y^2/9=1 is ?
Vikrant Gupta asked a question
Subject: Math, asked on on 4/1/13

Find the equation of parabola :

vertex =(2,1)

directrix : x = y-1
Harish Nair & 1 other asked a question
Subject: Math, asked on on 16/8/16
The locus of the points of intersection of the tangents at the extremities of the chords of the ellipse x^2+2y^2=6  which touch the ellipse  ​x^2+4y^2=4.
Jesal asked a question
Subject: Math, asked on on 23/3/16
The locus of the image of the point (2,3) in the line (2x-3y+4) + k(x-2y+3) = 0, k belongs to R is a :
(A) straight line parallel to x-axis    (B) straight line parallel to y-axis  
(C) circle of radius sq.rt.2                (D) circle of radius sq.rt.3   
Aakash Ratha asked a question
Subject: Math, asked on on 1/11/16
The locus of centre of a circle of radius 2 which rolls on the outside of the circle x^2+y^2+3x-6y-9=0 is
(a)x^2+y^2+3x-6y+5=0
(b)x^2+y^2+3x-6y-31=0
(c)x^2+y^2+3x-6y+29/4=0
(d)x^2+y^2+3x-6y-5=0
Prem Shankar asked a question
Subject: Math, asked on on 7/11/17
Find the equation of the parabola whose latus rectum is 4 units,axis is the line 3x+4y-4=0 and the tangent at the vertex is the line 4x-3y+7=0.
Bharat Rajani asked a question
Subject: Math, asked on on 9/2/13

A man running a race course notes that the sum of the distances from the two flag posts from him is always 10m and the distance between the flag posts is 8 metres. Find the equation of the path traced by the man.
Jai Prakash asked a question
Subject: Math, asked on on 8/10/12

the line 4x+3y-4=0 divides the circumference of the circle centered at(5,3) in the ratio 1:2 . then the equation of the circle represented by S=0 whose radius m, then 125m is ?
Pallavi Nayak asked a question
Subject: Math, asked on on 27/11/18
show that the circles x2+y2-16x-12y+75=0 and 5x2+5y2-32x-24y+75 touch each other and find the common tangent at their point of contact.
Anand Dubey asked a question
Subject: Math, asked on on 9/10/16
If P(-3,2) is one end of the focal chord PQ of the parabola y^2+4x+4y=0, then the slope of the normal at Q is
Bhuvan asked a question
Subject: Math, asked on on 31/12/18
Normal AO, A1, A2 drawn to the parabola y^2=8x from the point A(h,0) if triangle OA1A2 is equilateral triangle then possible values of h is
Shashwat Rakesh Dutt asked a question
Subject: Math, asked on on 9/10/13

the angle subtended by common tangents of two ellipses 4(x-4)2 +25y2=100 4(x+1)2 + y2=4 at the origin (in degrees) is
Taha Husain asked a question
Subject: Math, asked on on 14/3/12

Find the vertex, axis, focus, directrix, tangent at the vertex, and length of the latus rectum of the parabola:

2y2 + 3y - 4x - 3 = 0
Janani Janarthanam asked a question
Subject: Math, asked on on 1/11/12

find the equation of circle whose centre is the point of intersection of the lines 2x-3y+4=0 and 3x+4y-5=0 passes through the origin.

find the equation of circle which passes through the centre of the circle x2+y2-4x-8y-41=0 and is concentric with x2+y2-2y+1=0

prove tht points (2,-4)(3,-1)(3,-3)(0, 0)are concyclic

answer fast.urgent
Satyam Raj asked a question
Subject: Math, asked on on 5/9/17
  • the equation of the tangent at the point (0,0) to the circle , making intercepts of length 2a and 2b units on the coordinate axes are
  • ans is ax+ by = 0 and ax - by = 0
Sr asked a question
Subject: Math, asked on on 19/12/10

find the equation of ellipse .the distance between foci is 8 unit and the distance between directrix is 18 units.
Satyam Raj asked a question
Subject: Math, asked on on 2/9/17
  • Let S1 = x2+y2-4x-8y+4=0 and S2 be its image in the line y=x , find the equation of circle touching y=x at (1,1) and its radical axes with S2 passes through the centre of S1
roshanbist0000000000... asked a question
Subject: Math, asked on on 27/12/11

what is co-axial circle how to determine its equation and also tell its figure
Dhruv Singhal asked a question
Subject: Math, asked on on 4/3/19
Tangents OP and OQ are drawn from the origin o to the circle x2+y2+2gx+2fy+c=0. Find the equation of the circumcircle of the triangle OPQ. Please no links...
Madhurima Purkait asked a question
Subject: Math, asked on on 26/3/16
Find the equation of the chord of the circle x2+y2-4x=0 which is bisected at the point (1,1).
{Please mention the requires formula in details)
Ayush asked a question
Subject: Math, asked on on 17/12/17
Q no.1 
Plzz solve this

1. If the equation λx2+4xy+y2+λx+3y+ 2=0 represent a parabola then find λ.
Jignesh Agarkar asked a question
Subject: Math, asked on on 10/5/13

Find the distance between the chords of contact of the tangent to the circle x2 +y2 +2gx+2fy+c=0 from the origin and the point (g,f) .
Manideep Varma asked a question
Subject: Math, asked on on 8/9/16
the distance between the foci is 4root13 and the length of conjugate axis is 8 then the eccentricity of the hyperbola is
Akhilesh asked a question
Subject: Math, asked on on 29/10/15
find the locus of the mid points of the chords of the ellipse which are parallel to the line y=2x+c.
Prahalad.v.rao asked a question
Subject: Math, asked on on 4/3/17
Find the value of 'Lambda' for which the equation (10x-5)2 + (10y-7)2 = lambda2(5x+12y+7)2 represents the equation of parabola .
kritikasharma_bwr... asked a question
Subject: Math, asked on on 21/12/11

 A circle of radius 2 lies in the first quadrant and touches both the axis.Find the equation of the circle with the centre at (6,5) and touching the above circle externally.
Shagun Mishra asked a question
Subject: Math, asked on on 9/11/15
Find the equation of the hyperbola whose two foci are S(6,4) and S' (-4,4) and eccentricity is 2.
​
Kshitij Nair asked a question
Subject: Math, asked on on 6/12/15
locus of centres of circles which touch two circles x^2 + y^2 = 16 and x^2 + y^2 = 16x externally
Ritabh Ranjan asked a question
Subject: Math, asked on on 22/11/11

If P is any point on hyperbola whose axis are equal,prove that SP.S'P=CP2 ?
Divyani asked a question
Subject: Math, asked on on 7/12/15
The normal chord of the parabola y^2 = 4ax at (x1,x1) subtends a right angle at 1) focus 2) vertex 3) end of latus rectum 4) none of these
Prerna Jain asked a question
Subject: Math, asked on on 5/1/11

Find the equation of the circle with radius 5 whose centre lies on x-axis & passes through the point (2,3)?
Mukul Agrawal asked a question
Subject: Math, asked on on 7/9/15
if (alpha,beta) is a point on the circle whose centre is on the x-axis and which touches the line x+y=0 at (2,-2) ,then find the greatest integral value of alpha
Atharva Gulhane asked a question
Subject: Math, asked on on 19/12/16
The circle described on line joining (0,1) and(a,b) as daimeter cuts the x-axis in points whose abscissa are roots of the equation.
Swathi asked a question
Subject: Math, asked on on 29/12/09

 The ceiling in a hallway 20 ft wide is in the shape of a semi ellipse and 18 ft high at the centre.Find the height of the ceiling 4 ft from either wall if the height of the side wall is 12ft.
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