Question

Assertion :Statement - 1 : The equation of the chord of contact of tangents drawn from the point $(2,-1)$ to the hyperbola $16x^2-9y^2=144$ is $32x+9y=144$ Reason: Statement-2: Pair of tangents drawn from $(x_1,y_1)$ to $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ is $S{S}_1=T^2$ $S=\frac{x^2}{a^2}-\frac{y^2}{b^2}-1,S_1=\frac{x_1^2}{a^2}-\frac{y_1^2}{b^2}-1$, $T=\frac{x{x}_1}{a^2}-\frac{y{y}_1}{b^2}-1$

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

Equation of chord of contact is $T=0$
$\Rightarrow 16\left(2\right)x-9(-1)y=144$
$\Rightarrow 32x+9y=144$
Reason is the standard statement but is not the correct reason for the assertion