Transverse Axis of Hyperbola

Q. The equation of the hyperbola whose conjugate axis is 5 and the distance between the foci is 13, is

1. 

2. 

3. 

4. 

Q.

In a given standrard hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$.What is the length of transverse axis?

1. b

2. 2b

3. a

4. 2a

Q. The locus of mid point of chords of the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ which passes through the foot of the directrix from focus is

1. 
2. 
3. 
4. 

Q. The equation of hyperbola with vertices at $(0,\pm 6)$ and $e=\frac{5}{3}$
(where $e$ is eccentricity)

1. $\frac{y^2}{36}-\frac{x^2}{64}=1$

2. $\frac{x^2}{64}-\frac{y^2}{36}=1$
3. $\frac{x^2}{36}-\frac{y^2}{64}=1$
4. $\frac{y^2}{35}-\frac{x^2}{25}=1$

Q. A hyperbola has its centre at the origin, passes through the point $(4,2)$ and has transverse axis of length $4$ along the $x$-axis. Then the eccentricity of the hyperbola is :

1. $\sqrt{3}$
2. $\frac{2}{\sqrt{3}}$
3. $2$
4. $\frac{3}{2}$

Q.

If the lengths of transverse and conjugate axis of the hypberbola are 4, 2 then the distance Between the foci is

1. $4\sqrt{5}$

2. $8\sqrt{5}$

3. $\sqrt{5}$

4. $2\sqrt{5}$