Question

The point of contact of line $5x+12y=9$ and hyperbola $x^2-9y^2=9$ will lie on

• A. $4x+15y=0$
• B. $7x+12y=19$
• C. $4x+15y+1=0$
• D. $7x-12y=19$

Answer 1

Answer: (A), (B)

The correct options are
A $4x+15y=0$
B $7x+12y=19$

Given hyperbola and the line may be written as, $\frac{x^2}{9}-\frac{y^2}{1}=1$ and $\frac{5x}{9}-\frac{\frac{-4}{3}y}{1}=1$ respectively.
Comparing with standard form point of contact is $(5,-\frac{4}{3})$
Clearly option 'A' and 'B' are satisfying this point.