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Product of the perpendiculars from a point to the lines of a homogeneous pair

The same question, asked 2 times: 16 May 2023 S2*, 12 May 2026 S2. Every wording below, oldest first.

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  1. Question 1

    16 May 2023 S2

    145
    If P1P_1 and P2P_2 are perpendicular distances (in units) from point (2,−1)(2,-1) to the pair of lines 2x2−5xy+2y2=02x^2-5xy+2y^2=0, then the value of P1P2P_1 P_2 is

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  2. Question 2

    12 May 2026 S2

    59
    The product of the lengths of the perpendiculars drawn from the point (3,4)(3, 4) to the lines represented by 3x2−5xy+2y2=03x^2 - 5xy + 2y^2 = 0 is...

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