Recent questions tagged hyperbola

Equation of the hyperbola with eccentricity $\large\frac{3}{2}$ and foci at $(\pm 2,0)$ is

asked Oct 17, 2014 by sreemathi.v

1 answer

The distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt 2$.Its equation is

asked Oct 17, 2014 by sreemathi.v

1 answer

The eccentricity of the hyperbola whose latus rectum is $8$ and conjugate axis is equal to half of the distance between the foci is

asked Oct 17, 2014 by sreemathi.v

1 answer

The equation of the hyperbola with vertices at $(0,\pm 6)$ and eccentricity $\large\frac{5}{3}$ is _ and its foci are ___

asked Oct 16, 2014 by sreemathi.v

1 answer

State whether the following statement is True or False : The locus of the point of intersection of lines $\sqrt 3x-y-4\sqrt 3k=0$ and $\sqrt 3kx+ky-4\sqrt 3=0$ for different value of $k$ is a hyperbola whose eccentricity is 2.

asked Oct 15, 2014 by sreemathi.v

1 answer

Find the equation of the hyperbola with foci $(0,\pm\sqrt{10})$,passing through $(2,3)$.

asked Oct 15, 2014 by sreemathi.v

1 answer

Find the equation of the hyperbola with vertices $(0,\pm 7),e=\large\frac{4}{3}$.

asked Oct 15, 2014 by sreemathi.v

1 answer

Find the equation of the hyperbola with vertices $(\pm 5,0)$,foci $(\pm 7,0)$.

asked Oct 15, 2014 by sreemathi.v

1 answer

Show that the set of all points such that the difference of their distances from $(4, 0)$ and $(-4, 0)$ is always equal to $2$ represent a hyperbola.

asked Oct 14, 2014 by sreemathi.v

1 answer

Find the equation of the hyperbola with eccentricity $\large\frac{3}{2}$ and foci at $(\pm 2,0)$.

asked Oct 10, 2014 by sreemathi.v

1 answer

Find the eccentricity of the hyperbola $9y^2-4x^2=36$.

asked Oct 10, 2014 by sreemathi.v

1 answer

If the distance between the foci of a hyperbola is $16$ and its eccentricity is $\sqrt 2$,then obtain equation of the hyperbola.

asked Oct 10, 2014 by sreemathi.v

1 answer

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

asked Apr 21, 2014 by meena.p

1 answer

Equation of the hyperbola with eccentricity $\large\frac{3}{2}$ and foci at $(\pm2,0)$ is

asked Apr 21, 2014 by meena.p

1 answer

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

asked 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

asked 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

asked 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.

asked 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 $

asked 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.

asked 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 :

asked 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

asked 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

asked 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

asked 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

asked 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

asked 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

asked 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

asked Apr 21, 2014 by meena.p

1 answer

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

asked Apr 11, 2014 by meena.p

1 answer

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

asked Apr 11, 2014 by meena.p

1 answer

A common tangent to $9x^2-16y^2=144$ and $x^2+y^2=9$ is

asked 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

asked Apr 11, 2014 by meena.p

1 answer

Find the asymptotes of the hyperbola. $xy=4x+3y$

asked Apr 11, 2014 by meena.p

1 answer