Question

23. The equation y2 - x2 = 1 represents which conic section?hyperbolaellipsecircleparabola

Answer 1

The standard equation for a hyperbola with a vertical transverse axis is

$\frac{(y-k)^2}{a^2}\text{ - }\frac{(x-h)^2}{b^2}\text{ = 1}$

The centre is at (h,k)

Hence the equation

$y^2-x^{2^{}}=\text{ 1}$

Represents hyperbola.

Therefore the correct answer is Hyperbola