Question

Equation of tangent to the hyperbola $2x^2-3y^2=6$ which is parallel to the line y = 3x + 4, is

• A. y = 3x + 5
• B. y = 3x - 5
• C. y = 3x + 5 and y = 3x - 5
• D. None of these

Answer 1

The correct option is C y = 3x + 5 and y = 3x - 5

Here, $a^2=3,b^2=2,m=3$ and the equation of tangent to hyperbola is $y=mx\pm \sqrt{(a^2{m}^2-b^2)}$
$\Rightarrow$ $y=3x\pm 5$