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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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A line passing through the point P(2,3)P(2,3) meets the lines represented by x2−2xy−y2=0x^2-2 x y-y^2=0 at the points AA and BB such that PA⋅PB=17P A \cdot P B=17, the equation of the line is
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Correct option: B
y=3y=3
Option D (None of these) is incorrect. Option B (y=3y=3) is correct because it satisfies the condition PA⋅PB=17PA \cdot PB = 17 when the line passes through P(2,3) and intersects the given lines.

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