Recent questions and answers in 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?

answered Jul 18, 2019 by dattawakde7507

2 answers

Find the area of rhombus formed by the lines $x\pm y\pm 1=0$?

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

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

answered Apr 21, 2014 by meena.p

1 answer

The eccentricity of the hyperbola $9y^2 -4x^2=36$ is

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

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

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.

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 $

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.

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 :

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

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

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

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

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

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

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

answered Apr 21, 2014 by meena.p

1 answer

The vertices of the hyperbola $9x^2-16y^2-36x+96y-252=0$ are

answered Apr 11, 2014 by meena.p

1 answer

The diameter of $16x^2-9y^2=144$ which is conjugate to $x=2y$ is

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

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

answered Apr 11, 2014 by meena.p

1 answer