Question

Tangent at any point $P$ on the hyperbola $\frac{x^2}{9}-\frac{y^2}{4}=1$ intersects the asymptotes at points $A$ and $B,$ if $C$ is the centre of the hyperbola, then area of $\Delta ABC$ is

• A. $4sq.units$
• B. $6sq.units$
• C. $8sq.units$
• D. None of these

Answer 1

Answer: (B)

Area of $\Delta ABC=ab$
Where $a=3$
$b=2$
$=3\times 2$
$=6$ $sq.units$