Conic Sections, Popular Questions: Karnataka Class 11-commerce MATH, Mathematics Puc I

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.

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.

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.

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.

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.

Halu asked a question

Subject: Math, asked on on 26/9/15

Does 2x2 + 2y2 + 3y +10 = 0 represent the equation of a circle? Justify.

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.

Zhi Tay asked a question

Subject: Math, asked on on 8/9/16

Find the equation for the ellipse that satisfies the given conditions: Major axis on the x-axis and passes through the points (4, 3) and (6, 2).

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

Vineeth Matta asked a question

Subject: Math, asked on on 13/11/14

tangents to parabola y2=4ax makes an angle of 60 degree with the axis find its point of contact

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

Bhavya Chhabra asked a question

Subject: Math, asked on on 7/1/18

Find the equation of the locus of all points such that the difference of their distances from (4,0) and (-4,0) is always equal to 2. Find out

Nida Firdous asked a question

Subject: Math, asked on on 22/10/12

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
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
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

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)?

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 ??

Nishtha Gahlot asked a question

Subject: Math, asked on on 25/10/16

prove that the locus of the point of intersection of the lines x√3-y- 4k√3=0 and √3kx+ky-4√3=0 for different values of k is a hyperbola whose e is 2.

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.

sonalimalhotra.rocking... & 1 other asked a question

Subject: Math, asked on on 29/11/12

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.

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?

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.

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.

Puranjani asked a question

Subject: Math, asked on on 19/11/18

find the equation of an ellipse whose foci are 2, 3 and minus -2,3 and whose semi minor axis is root 5

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

Ranjeeta Yadav asked a question

Subject: Math, asked on on 26/1/13

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
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.

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

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

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 .

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.

Kevin Fernandes asked a question

Subject: Math, asked on on 12/2/16

Find the equation of the ellipse whose foci is (+-3,0) and which passes through (4,1). Also find the eccentricity and the length of latus rectum of the ellipse.

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

Mukul Agrawal asked a question

Subject: Math, asked on on 8/1/16

in the parabola y²=4ax,the locus of middle points of all chords of constant length c 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.

Vikrant Gupta asked a question

Subject: Math, asked on on 4/1/13

In case of parabola

y= x²-2x-3

Find:

a)Vertex:

b)Axis:

c)Focus:

d)Directrix:

e)Latus Rectum:

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

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.)

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

Suyog Singh Rathore asked a question

Subject: Math, asked on on 16/1/12

Find the coordinate of the point of intersection of the axis and the directrix of the parabola whose focus is (3,3) and the directrix is 3x-4y=2 . find also the latus rectum.

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

Satyam Raj asked a question

Subject: Math, asked on on 18/12/17

find te condition for the line xcos(alpha) + ysin(alpha) = p to be a tangent to the ellipse x²/a² + y²/b² = 1.

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

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

Dhanshree asked a question

Subject: Math, asked on on 16/1/18

Q8 Q9 Q12

Q8. The triangle PQR of area 'A' is inscribed in the parabola y² = 4 ax such that the vertex P lies at the vertex of the parabola and base QR is a focal chord. The modulus of the difference of the ordinates of the points Q and R is-

(A)

\frac{A}{2 a}

(B)

\frac{A}{a}

(C)

\frac{2 A}{a}

(D)

\frac{4 A}{a}

Q9. Point P lies on y² = 4ax & N is foot of perpendicular from P on its axis. A straight line is drawn parallel to the axis to bisect NP and meets the curve in Q. NQ meets the tangent at the vertex in a point T such that AT = k NP, then the value of k is : (where A is the vertex)

(A) 3/2 (B) 2/3 (C) 1 (D) none

Q12. T is a point on the tangent to a parabola y² = 4ax at its point P. TL and TN are the perpendiculars on the focal radius SP and the directrix of the parabola respectively. Then-

(A) SL = 2 (TN) (B) 3 (SL) = 2 (TN) (C) SL = TN (D) 2 (SL) =3 (TN)

Ameen asked a question

Subject: Math, asked on on 6/12/15

find the equation of the hyperbola , the length of whose latus rectum is 8 and e= 3/ root 5

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.

Anjali asked a question

Subject: Math, asked on on 24/2/19

Find the equation of the circle which passes through the points (2, 3) and (4, 5) and the centre lies on the straight line y ? 4x + 3 = 0.

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.

Amey Dhote asked a question

Subject: Math, asked on on 17/11/18

If (2,-8) is at an end of a focal chord of the parabola y²=32x ; then the other end of the chord is

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-

\sqrt{}

5) (B) (

\sqrt{}

5, 0 )
(C) (0,0) (D) (3,2)

Aishani Pandey asked a question

Subject: Math, asked on on 19/8/18

if the tangent to the parabola 4y^2=x makes angle 60 with x axis then what is its point of contact?

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

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.

bilzkashif... asked a question

Subject: Math, asked on on 10/11/10

how can we derive standard equation of ellipse

Mohit asked a question

Subject: Math, asked on on 6/12/15

the towers of a bridge hung in a parabola have their tops 30m above the and are 200m. If the cable is 5m above the road way at the centre of the bridge. find the length of the vertical supporting cable 30m from the centre.

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 :

x=0, y=0
(h²-r²)x-2rhy=0, x=0
y=0,x=4
(h²-r²)x + 2rhy=0,x=0.

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

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

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

Giselle Maria Castelino asked a question

Subject: Math, asked on on 9/10/16

Find the equation of a circle passing through the points (2,-6) (6,4) (-3,1)

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.

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?

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 ?

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

Srishti Rath asked a question

Subject: Math, asked on on 14/12/15

show that the area of a triangle inscribed in a parabola y^2= 4ax is 1/8 a (y1-y2)(y2-y3)(y3-y1) where y1,y2,y3 are angular points.

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

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

Amey Dhote asked a question

Subject: Math, asked on on 14/11/18

Find the equation of the hyperbola whose directrix is 2x + y = 1, focus is (1, 2) and eccentricity is √3.

Vibhor Arora asked a question

Subject: Math, asked on on 25/1/19

Find the equation of a circle touching the parabola y2 = 8x at (2, 4) and passes through (0,4).

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

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) .

Rohan asked a question

Subject: Math, asked on on 5/11/16

Thr equation of the ellipse with its centre at (1,2), one focus at (6,2) and passing through the point (4,6) is -

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)

Gustave Vindis asked a question

Subject: Math, asked on 18 hours, 2 minutes ago

Maths doubt pl

Priyanshu Sharma asked a question

Subject: Math, asked on on 25/6/16

Show that the circle on the chord xcosα + ysinα - p = 0 of the circle x² +y²= a² as diameter is x² + y² - a²-2p(xcosα +ysinα -p)=0

Nikita Chordia asked a question

Subject: Math, asked on on 20/10/12

Does 2x² + 2y² +3y + 10 = 0 represent the equation of a circle? Justify.

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.

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.