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Recent questions and answers in Coordinate Geometry
Questions
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JEEMAIN and NEET
>>
Mathematics
>>
Class11
>>
Coordinate Geometry
Find the equation of the ellipse referred to its centre whose minor axis is equal to the distance between the foci and whose latus is 10?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q81
medium
answered
Jul 18, 2019
by
dattawakde7507
2
answers
Find the area of rhombus formed by the lines $x\pm y\pm 1=0$?
jeemain
math
class11
coordinate-geometry
straight-lines
distance-of-a-point-from-a-line
ch10
q35
difficult
answered
Jul 28, 2017
by
mandarkulkarni11
2
answers
If vertex and focus of hyperbola are $(2,3)$ and $(6,3)$ respectively and eccentricity e of the hyperbola is 2 then equation of the hyperbola is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
Equation of the hyperbola with eccentricity $\large\frac{3}{2}$ and foci at $(\pm2,0)$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
answered
Apr 21, 2014
by
meena.p
1
answer
The eccentricity of the hyperbola $9y^2 -4x^2=36$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
The distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt 2$. Its equation is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
Equation of the chord of the hyperbola $25x^2-16y^2=400$ which is bisected at the point $(6,2)$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
Find the equation of hyperbola if the distance between the foic is $16, e=\sqrt 2$ and axis along x-axis with centre oxgin.
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
Find the equation of the tangents drawn from the point $(-1,-2)$ to the hyperbola $2x^2-3y^2=6 $
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
answered
Apr 21, 2014
by
meena.p
1
answer
A rectangular hyperbola whose cetre is C is cut by any circle of radius r in four points $P,Q,R$ and S. Then $CP^2+CQ^2+CR2+CS^2$ is equal to.
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
If angle between the asymptotcs of the hyperbola $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$is $45^{\circ}$ then value of eccentricity $e$ is :
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
Equation of chord of the hyperbola $25x^2-16y^2=400$ which is bisected at the point $(6,2)$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
If $e$ and $e'$ be the eccentricities of a hyperbola and its conjugate then $ \large\frac {1}{e^2}+\frac{1}{e^{12}}$ is equal to
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
answered
Apr 21, 2014
by
meena.p
1
answer
The locus of a point $p(\alpha, \beta)$ moving under the condition that the line $y=\alpha x + \beta$ is a tangent to the hyperbola $\large\frac{x^2}{a^2} -\frac{y^2}{b^2}$$=1$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
A circle touches the x-axis and also touches the circle with centre at $(0,3)$ and radius the circle with centre at $(0,3)$ and radius 2. The locus of the center of circle is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
If the foci of the ellipse $\large\frac{x^2}{16}+\frac{y^6}{b^2}$$=1$ and the hyperbola. $\large\frac{x^2}{144}-\frac{y^2}{81}=\frac{1}{25}$ coincide, then the value of $b^2$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
answered
Apr 21, 2014
by
meena.p
1
answer
Angle between the asymptotes of the hyperbola $3x^2+7xy+2y^2-11x-7y+10=0$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
answered
Apr 21, 2014
by
meena.p
1
answer
If $e_1$ and $e_2$ are the eccentricities of the hyperbolas $\large\frac{x^2}{a^2}-\frac{y^2}{b^2}$$=1$ and $\large\frac{y^2}{b^2}-\frac{x^2}{a^2}$$=1$ Then value of $\large\frac{1}{e_1^2}+\frac{1}{e_2^2}$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 21, 2014
by
meena.p
1
answer
The vertices of the hyperbola $9x^2-16y^2-36x+96y-252=0$ are
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 11, 2014
by
meena.p
1
answer
The diameter of $16x^2-9y^2=144$ which is conjugate to $x=2y$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
answered
Apr 11, 2014
by
meena.p
1
answer
A common tangent to $9x^2-16y^2=144$ and $x^2+y^2=9$ is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
answered
Apr 11, 2014
by
meena.p
1
answer
The eccentricity of the hyperbola whose latus rectum is $8$ and conjugate axis is equal to half the distance between the foci is
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
difficult
answered
Apr 11, 2014
by
meena.p
1
answer
Find the asymptotes of the hyperbola. $xy=4x+3y$
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 11, 2014
by
meena.p
1
answer
Find the equation of the hyperbola with focus $(2,2) \; e=2$ and directrise $x+y=9$
jeemain
math
class11
coordinate-geometry-conic -sections
hyperbola
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
The minimum area of triangle formed by the tangents to the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ coordinate axes is :
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
The locus of the mid- points of the portion of the tangents to the ellipse intercepted between the axis is :
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
Equation of the director circle of the ellipse $x^2+2y^2+2x-12y+15=0$ is
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
If $3x+2y=0$ and $5x-12y=0$ are the equation of the pour of conjugates diameters, then value of eccentricity e is
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
The locus of the mid -point of the portion of the tangents to the ellipse intercepted between the axes is
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
difficult
answered
Apr 10, 2014
by
meena.p
1
answer
Tangent is drawn to the ellipse $\large\frac{x^2}{27} $$+y^2=1$ at $(3 \sqrt 3 \cos \theta, \sin \theta)$ (where $\theta \in (0, \large\frac{\pi}{2} )$) Then the value of $\theta$ such that sum of intercepts on axis made by this tangent is minimum is
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
difficult
answered
Apr 10, 2014
by
meena.p
1
answer
The eccentricity of an ellipse , with its centre at origin is $\large\frac{1}{2}$, If one of the directrices is $x=4$ then the equation of the ellipse is
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
difficult
answered
Apr 10, 2014
by
meena.p
1
answer
The lengths of the axes of the conic $9x^2+4y^2-6x+4y+1=0$ are
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
Length of latus rectum is one third of major axis:
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
If the polar of $y^2=4ax$ is always touching the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ then locus of the pole is :
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
If $y=mx+c$ is a tangent to the ellipse $x^2+2y^2=6$ then $c^2$ is equal to
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
The number of normal that can be drawn from a point to a given ellipse is
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
difficult
answered
Apr 10, 2014
by
meena.p
1
answer
The line $x \cos \alpha + y \sin \alpha =p$ is a tangent to the ellipse. $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ if
jeemain
math
class11
coordinate-geometry-conic-sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
The equation of the ellipse (referred to its axis as the axis of x and y respectively) which passes through the point $(-3,1)$ and had eccentricity $\sqrt {\large\frac{ 2}{5}}$
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
difficult
answered
Apr 10, 2014
by
meena.p
1
answer
The eccentric angle of a point on the ellipse $\large\frac{x^2}{6} +\frac{y^2}{2}$$=1$ Whose distance from the centre of ellipse is 2 is
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
Find the equation of tangent to the ellipse $3x^2+4y^2=12$ which are parallel to the line $y+2x=4$
jeemain
math
class11
coordinate-geometry-conic -sections
ellipse
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
P is a point, two tangents are drawn from it to the parabola $y^2=4x$ such that the slope of one tangent is three times the slope of the other. The locus of P is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
If the vertex and the focus of a parabola are $(-1,1)$ and $(2,3)$ respectively then the equation of the directrise , is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
answered
Apr 10, 2014
by
meena.p
1
answer
The angle between the tangent drawn from the point $(1,4)$ to the parabola $y^2=4x$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
answered
Apr 10, 2014
by
meena.p
1
answer
The curve disturbed parametrically by $x=t^2+t+1\;y=t^2-t+1$ represents
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
answered
Apr 10, 2014
by
meena.p
1
answer
If $x+y=k$ is the normal to $y^2=12x$ then k is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
If the line $x-1=0$ is the directrix of parabola $y^2-kx+8=0$ then one of the value of k is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
The equation of the directrise of the parabola $y^2+4y+4x+2=0$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
The angle between the tangents draw from the origin to the parabola $y^2=4a(x-a)$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
The equation of common tangent to the curves $y^2=8x$ and $xy=-1$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
answered
Apr 10, 2014
by
meena.p
1
answer
The locus of the mid point of the line segment joining the focus to a moving point on parabola $y^2=4ax$ is another parabola with direction
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
answered
Apr 10, 2014
by
meena.p
1
answer
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