Question

Statement-I : Tangent drawn at a point $P\left(\frac{4\sqrt{5}}{3},2\right)$ on the ellipse $9x^2+16y^2=144$ intersects a straight line $x=\frac{16}{\sqrt{7}}$ at $M$, then $PM$ subtends a right angle at $(-\sqrt{7},0)$ Because
Statement-II : The portion of the tangent to an ellipse between the point of contact and the directrix subtends a right angle at the corresponding focus.

• A. Statement-I is true, Statement-II is true ; Statement-II is correct explanation for Statement-I.
• B. Statement-I is true, Statement-II is true ; Statement-II is NOT a correct explanation for Statement-I.
• C. Statement-I is true, Statement-II is false.
• D. Statement-I is false, Statement-II is true.

Answer 1

Answer: (D)

Correct answer is (d) Statement-I is false, Statement-II is true.