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Kabir Chhabra
Subject: Maths
, asked on 21/4/18
Q8
8. Find the points common to the hyperbola 25x
^{2}
-9y
^{2}
=225 and the straight line 25x+12y-45=0
Answer
1
Lavneesh Rajput
Subject: Maths
, asked on 18/4/18
Solve this:
$\mathbf{185}\mathbf{.}Acurvehastheparametricequationx=\frac{a}{2t}({t}^{2}+1)andy=\frac{b}{2t}(t2-1)thenitsequationinrec\mathrm{tan}gularcartesianco-ordinateis\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(a\right)\frac{{x}^{2}}{{a}^{2}}+\frac{{y}^{2}}{{b}^{2}}=14\left(b\right){x}^{2}+{y}^{2}={a}^{2}{b}^{2}\phantom{\rule{0ex}{0ex}}\left(c\right){b}^{2}{x}^{2}-{a}^{2}{y}^{2}={a}^{2}{b}^{2}\left(d\right)noneofthese$
Answer
1
Muskan Chojer
Subject: Maths
, asked on 5/4/18
If H is height, S is curved surface area and V is volume of a cone, then: (A) 3?VH? + 9V? = S?H? (B) ?VH? - SH? + V? = 0 (C) 3?VH? + V? = S?H? (D) 3?VH? - 9V? = S?H? Explain.
Answer
1
Jatin Pruthi
Subject: Maths
, asked on 29/3/18
for the ellipse 3x2 + 2y2 = 6. Find the length of major and minor axis, eccentricity, co-ordinates of foci and vertices and the latus rectum.
Answer
1
Priyansh
Subject: Maths
, asked on 19/3/18
Q. Let PA and PB are two tangents drawn from point p on the line x+2y=3 to the circle
${\left(x-1\right)}^{2}+{\left(y-1\right)}^{2}=1$
, then find the locus of the circum centre of triangle PAB.
Answer
1
Sudhanshu Singh
Subject: Maths
, asked on 18/3/18
↵
Solve
this:
22. The number of all possible value of
$\theta $
, where 0<
$\theta $
<
$\mathrm{\pi}$
, for which the system of equations.
(y+z) cos 3
$\theta $
=(xyz) sin 3
$\theta $
$x\mathrm{sin}3\theta =\frac{2\mathrm{cos}3\theta}{y}+\frac{2\mathrm{cos}3\theta}{z}$
and (xyz) sin 3
$\theta $
= (y+2z) cos 3
$\theta $
+ ysin 3
$\theta $
have a solution (x
_{0}
,y
_{0}
,z
_{0}
) with y
_{0}
z
_{0}
_{ $\ne $0, is ....}
Answer
1
Sudhanshu Singh
Subject: Maths
, asked on 18/3/18
Solve this
Q1. Consider a branch of the hyperbola
x
^{2}
– 2y
^{2}
–
$2\sqrt{2x}$
–
$4\sqrt{2}y$
– 6 = 0
with vertex at the point A. Let B be one of the end points of its latusrectum . If C is the focus of the hyperbola nearest to the point A, then the area of the
$\u2206$
ABC is
(a) 1 –
$\sqrt{2/3}$
sq unit (b)
$\sqrt{3/2}$
– 1 sq unit
(c) 1 +
$\sqrt{2/3}$
sq unit (d)
$\sqrt{3/2}$
+ 1 sq unit
Answer
2
Sudhanshu Singh
Subject: Maths
, asked on 18/3/18
Solve this
Answer
1
Kashish Bagadia
Subject: Maths
, asked on 18/3/18
A chord is drawn passing through
P
(2, 2) on the ellipse
$\frac{{x}^{2}}{25}+\frac{{y}^{2}}{16}=1$
such that it intersects the ellipse at A and B. Then maximum value of PA. PB is
(A)
$\frac{61}{4}$
(B)
$\frac{59}{4}$
(C)
$\frac{71}{4}$
(D)
$\frac{63}{4}$
Answer
1
Yagyam Aggarwal
Subject: Maths
, asked on 18/3/18
Pls answer 84 question
Q.84. If equation of one tangent drawn from (0, 0) to the circle with centre (2, 4) is 4x + 3y = 0, then equation of the other tangent from (0, 0) is
(1) 4x - 3y = 0
(2) x = 0
(3) y = 0
(4) x + 4y = 0
Answer
1
Yagyam Aggarwal
Subject: Maths
, asked on 13/3/18
Q. The length of the latus rectum of the parabola x
^{2}
-6x +5y =0 is
(1) 1 (2) 3 (3) 5 (4) 7
Answer
1
Adhiraj Singh
Subject: Maths
, asked on 9/3/18
if the focal distance of the end of minor axis of an ellipse is q and distance between its foci is 2p,then find its equation.
Answer
1
Aishwarya
Subject: Maths
, asked on 6/3/18
Solve this:
$7.Findthecoordinatesofthevertexandfocus,lengthoflatusrectumequationoflatusrectumoftheparabola{\left(y-2\right)}^{2}=3\left(x+1\right).$
Answer
1
Divya Mahesh
Subject: Maths
, asked on 6/3/18
21. Find the equation of the ellipse if its foci are (
$\pm $
2,0) and the length of the latus rectum is 10/3.
Answer
1
Krithikha B
Subject: Maths
, asked on 4/3/18
find the equation of ellipse which passesthrough -3,1 and eccentrcity root2/5
Answer
1
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What are you looking for?

8. Find the points common to the hyperbola 25x

^{2}-9y^{2}=225 and the straight line 25x+12y-45=0

$\mathbf{185}\mathbf{.}Acurvehastheparametricequationx=\frac{a}{2t}({t}^{2}+1)andy=\frac{b}{2t}(t2-1)thenitsequationinrec\mathrm{tan}gularcartesianco-ordinateis\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(a\right)\frac{{x}^{2}}{{a}^{2}}+\frac{{y}^{2}}{{b}^{2}}=14\left(b\right){x}^{2}+{y}^{2}={a}^{2}{b}^{2}\phantom{\rule{0ex}{0ex}}\left(c\right){b}^{2}{x}^{2}-{a}^{2}{y}^{2}={a}^{2}{b}^{2}\left(d\right)noneofthese$

Q. Let PA and PB are two tangents drawn from point p on the line x+2y=3 to the circle ${\left(x-1\right)}^{2}+{\left(y-1\right)}^{2}=1$ , then find the locus of the circum centre of triangle PAB.

22. The number of all possible value of $\theta $, where 0<$\theta $<$\mathrm{\pi}$, for which the system of equations.

(y+z) cos 3 $\theta $=(xyz) sin 3$\theta $

$x\mathrm{sin}3\theta =\frac{2\mathrm{cos}3\theta}{y}+\frac{2\mathrm{cos}3\theta}{z}$

and (xyz) sin 3$\theta $ = (y+2z) cos 3 $\theta $ + ysin 3$\theta $ have a solution (x

_{0},y_{0},z_{0}) with y_{0}z_{0}_{ $\ne $0, is ....}Q1. Consider a branch of the hyperbola

x

^{2}– 2y^{2}– $2\sqrt{2x}$ – $4\sqrt{2}y$ – 6 = 0with vertex at the point A. Let B be one of the end points of its latusrectum . If C is the focus of the hyperbola nearest to the point A, then the area of the $\u2206$ ABC is

(a) 1 – $\sqrt{2/3}$ sq unit (b) $\sqrt{3/2}$ – 1 sq unit

(c) 1 + $\sqrt{2/3}$ sq unit (d) $\sqrt{3/2}$ + 1 sq unit

P(2, 2) on the ellipse $\frac{{x}^{2}}{25}+\frac{{y}^{2}}{16}=1$ such that it intersects the ellipse at A and B. Then maximum value of PA. PB is(A) $\frac{61}{4}$ (B) $\frac{59}{4}$ (C) $\frac{71}{4}$ (D) $\frac{63}{4}$

Q.84. If equation of one tangent drawn from (0, 0) to the circle with centre (2, 4) is 4x + 3y = 0, then equation of the other tangent from (0, 0) is

(1) 4x - 3y = 0

(2) x = 0

(3) y = 0

(4) x + 4y = 0

^{2}-6x +5y =0 is(1) 1 (2) 3 (3) 5 (4) 7

$7.Findthecoordinatesofthevertexandfocus,lengthoflatusrectumequationoflatusrectumoftheparabola{\left(y-2\right)}^{2}=3\left(x+1\right).$