Vinod Singh and Shweta Pawar Solutions for Chapter: Circle and Conics, Exercise 1: Classical Thinking

The latus rectum of the hyperbola $16x^2-9y^2=144,$ is

The length of the latus rectum of the hyperbola $3x^2-y^2=4$ is

A point on the curve $\frac{x^2}{A^2}-\frac{y^2}{B^2}=1$ is

The distance between the directrices of the hyperbola $x=8\sec \theta , y=8\tan \theta$ is

Centre of the hyperbola $9x^2-36x-16y^2+96y-252=0$ is

The eccentricity of the hyperbola $5x^2-4y^2+20x+8y=4$ is

The equation $x=\frac{e^t+e^{\mathit{-}t}}{2}, y=\frac{e^t-e^{\mathit{-}t}}{2}, t\in R$, represents

The auxiliary equation of circle of hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$, is