Assertion (A) If the tangent and normal to the ellipse `9x^(2)+16y^(2)=144` at the point `P(pi/3)` on it meet the major axis in Q and R respectively, then `QR=(57)/(8)`.
Reason (R) If the tangent and normal to the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=` at the point `P(theta)` on it meet the major axis in Q and R respectively, then `QR=|(a^(2)sin^(2)theta-b^(2)cos^(2)theta)/(a cos theta)|`
The correct answer is

Options

A. Both (A) and (R) are true and (R) is the correct explanation of (A).
B. Both (A) and (R) are true but (R) is not the correct explanation of (A).
C. (A) is true but (R) is false.
D. (A) is false but (R) is true.

Answer

C