class 11

Math

Co-ordinate Geometry

Hyperbola

The equation of tangent to hyperbola $4x_{2}−5y_{2}=20$ which is parallel to $x−y=2$ is (a) $x−y+3=0$ (b) $x−y+1=0$ (c) $x−y=0$ (d) $x−y−3=0$

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

The foci of the hyperbola $9x_{2}−16y_{2}=144$ are a.$(±4,0)$ b. $(0,±4)$ c. $(±5,0)$ d. $(0,±5)$

Find the centre, eccentricity, foci and directrices of the hyperbola : $x_{2}−3y_{2}−2x=8.$

Write the equation of the hyperbola of eccentricity $2 $ if it is known that the distance between its foci is 16.

Write the length of the latus rectum of the hyperbola $16x_{2}−9y_{2}=144.$

The distance of the focus of $x_{2}−y_{2}=4$, from the directrix, which is nearer to it, is

Consider a branch of the hypebola $x_{2}−2y_{2}−22 x−42 y−6=0$ with vertex at the point A. Let B be one of the end points of its latus rectum. If C is the focus of the hyperbola nearest to the point A, then the area of the triangle ABC is (A) $1−32 $ (B) $23 −1$ (C) $1+32 $ (D) $23 +1$

If the foci of $16x_{2} +4y_{2} =1$ and $a_{2}x_{2} −3y_{2} =1$ coincide, the value of a is

Write the eccentricity of the hyperbola $9x_{2}−16y_{2}=144.$