The eccentricity of the hyperbola $x^2-y^2=25$ is 

1. 2

2. 

3. 

4. 

Which of the following statements are correct?

1. The particular kind of hyperbola in which the lengths of the transverse and conjugate axis are equal is called an equilateral hyperbola.

2. Eccentricity of equilateral hyperbola = $\sqrt{2}$
3. Equation of pair of asymptotes of rectangular hyperbola $x^2-y^2=a^2$ is $x^2-y^2=0$

4. Equation of pair of asymptotes of rectangular hyperbola $x^2-y^2=a^2$  is $x^2-y^2=-a^2$

If the eccentricity of the hyperbola $x^2-y^2{\text{coesc}}^2\alpha =25$ is $\sqrt{5}$ times the eccentricity of the ellipse $x^{2}co{sec}^2\alpha +y^2=5$, then $\alpha$ is equal to

If the eccentricity of the hyperbola $x^2-y^2{\sec }^2\alpha =5$ is $\sqrt{3}$ times the eccentricity of the ellipse $x^2{\sec }^2\alpha +y^2=25$, then a value of $\alpha$ is  

$Iftheeccentricityofhyperbola{x}^2-y^{2}se{c}^2\alpha =5is\sqrt{3}timestheeccentricityoftheellipse{x}^{2}se{c}^2\alpha +y^2=25,then\alpha =$

If the eccentricity of the hyperbola $x^2-y^2{\sec }^2\alpha =5$ is $\sqrt{3}$ times the eccentricity of the ellipse $x^2{\sec }^2\alpha +y^{2}25,$ then a value of $\alpha$ is 

Which of the following statements are correct?

1. The particular kind of hyperbola in which the lengths of the transverse and conjugate axis are equal is called an equilateral hyperbola.

2. Eccentricity of equilateral hyperbola = $\sqrt{2}$
3. Equation of pair of asymptotes of rectangular hyperbola $x^2-y^2=a^2$ is $x^2-y^2=0$

4. Equation of pair of asymptotes of rectangular hyperbola $x^2-y^2=a^2$  is $x^2-y^2=-a^2$

If the eccentricity of the hyperbola $x^2-y^2{\text{coesc}}^2\alpha =25$ is $\sqrt{5}$ times the eccentricity of the ellipse $x^{2}co{sec}^2\alpha +y^2=5$, then $\alpha$ is equal to

If the eccentricity of the hyperbola $x^2-y^2{\sec }^2\alpha =5$ is $\sqrt{3}$ times the eccentricity of the ellipse $x^2{\sec }^2\alpha +y^2=25$, then a value of $\alpha$ is