Solveeit Logo
Login

Question

Question: Equation of tangent to hyperbola \(\frac{x^{2}}{3} - \frac{y^{2}}{2} = 1\)equally inclined to coordi...

Equation of tangent to hyperbola x23−y22=1\frac{x^{2}}{3} - \frac{y^{2}}{2} = 1equally inclined to coordinates axis is

A

y = x + 1

B

y = x – 1

C

y = x + 2

D

y = x – 2

Answer

y = x + 1

Explanation

Solution

Any tangent is

y=mx±a2m2−b2y = mx \pm \sqrt{a^{2}m^{2} - b^{2}}

= mx±3m2−2mx \pm \sqrt{3m^{2} - 2}

for m = 1, this is a tangent which is equally inclined to the coordinate axes