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Q.

Let the focus S of the parabola y2=8x lies on the focal chord PQ of the same parabola. If PS=6 then the square of the slope of the chord PQ is

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answer is 8.

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Detailed Solution

We know that  PS, 4, SQ are in H.P

⇒16,14,1SQ are in AP

⇒1SQ=24−16=13⇒SQ=3

PQ=6+3=9=4acosec2θ

1+cot2θ=98⇒cot2θ=18

Tan2θ=8

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