Questions in conic-section

Select	Question
	What will be equation of that chord of hyperbola $25{{x}^{2}}-16{{y}^{2}}=400$, whose mid point is (5, 3)
	The value of m, for which the line $y=mx+\frac{25\sqrt{3}}{3}$, is a normal to the conic $\frac{{{x}^{2}}}{16}-\frac{{{y}^{2}}}{9}=1$, is
	The equation of the normal to the hyperbola $\frac{{{x}^{2}}}{16}-\frac{{{y}^{2}}}{9}=1$ at $(-4,\ 0)$ is
	The eccentricity of the conjugate hyperbola of the hyperbola ${{x}^{2}}-3{{y}^{2}}=1$, is
	If e and e’ are eccentricities of hyperbola and its conjugate respectively, then
	The product of the lengths of perpendiculars drawn from any point on the hyperbola ${{x}^{2}}-2{{y}^{2}}-2=0$ to its asymptotes is
	The equation of a hyperbola, whose foci are (5, 0) and (–5, 0) and the length of whose conjugate axis is 8, is
	The equation of the hyperbola whose foci are the foci of the ellipse $\frac{{{x}^{2}}}{25}+\frac{{{y}^{2}}}{9}=1$ and the eccentricity is 2, is
	The coordinates of the foci of the rectangular hyperbola $xy={{c}^{2}}$ are
	The eccentricity of curve ${{x}^{2}}-{{y}^{2}}=1$ is