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JEE Advanced 2021 Paper 2

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Question : 44

Total: 57

Let E denote the parabola y2=8x. Let P=(−2,4), and let Q and Q′ be two distinct points on E such that the lines PQ and PQ′ are tangents to E. Let F be the focus of E. Then which of the following statements is (are) TRUE?

The triangle PFQ is a right-angled triangle
The triangle QPQ′ is a right-angled triangle
The distance between P and F is 5√2
F lies on the line joining Q and Q′

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