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 = {87}/8 Reason (R): If the tangent and normal to the ellipse x^2/a^2+y^2/b^2 = 1 at the point P(θ) on it meet the major axis in Q and R respectively, then QR = |\frac{a^2sin^2\theta-b^2cos^2\theta}{acos\theta}| The correct answer is

Correct Answer is : (A) is true but (R) is false.

Both (A) and (R) are true and (R) is the correct explanation of (A).

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

TS EAMCET 04 May 2019 Shift 1 Solved Paper

Section: Mathematics

Question : 56 of 160

Marks: +1, -0

Assertion (A): If the tangent and normal to the ellipse 9x2+16y2 = 144 at the point P (

)on it meet the major axis in Q and R respectively, then QR =

Reason (R): If the tangent and normal to the ellipse

= 1 at the point P(θ) on it meet the major axis in Q and R respectively, then
QR = |

a2sin2θ−b2cos2θ

acosθ

|
The correct answer is

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