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  4. Tangent at any point P on the hyperbola (x2/9)-(y2/4)=1 intersects the asymptotes at points A and B, if C is the centre of the hyperbola, then area of Δ ABC is

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Q. 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

NTA AbhyasNTA Abhyas 2022

Solution:

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