1. Tardigrade
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  4. Statement-1: If P(2 a, 0) be any point on the axis of parabola, then the chord QPR, satisfy (1/ PQ 2)+(1/ PR 2)=(1/4 a 2) Statement-2: There exists a point on the axis of the parabola y2=4 ax, such that (1/ PQ 2)+(1/ PR 2) is equal to constant for all chord QPR of the parabola

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Q. Statement-1 : If $P(2 a, 0)$ be any point on the axis of parabola, then the chord QPR, satisfy $\frac{1}{ PQ ^2}+\frac{1}{ PR ^2}=\frac{1}{4 a ^2}$
Statement-2 : There exists a point on the axis of the parabola $y^2=4$ ax, such that $\frac{1}{ PQ ^2}+\frac{1}{ PR ^2}$ is equal to constant for all chord QPR of the parabola

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Solution:

Correct answer is (a) Both the statement are true and Statement 2 is correct explanation of Statement 1