Mathematics

Mathematics

Problem

A tangent and a normal are drawn at the point P(2,−4)P(2, -4) on the parabola y2=8xy^2 = 8x, which meet the directrix of the parabola at the points AA and BB respectively. If Q(a,b)Q(a, b) is a point such that AQBPAQBP is a square, then 2a+b2a + b is equal to a. −16-16 b. −18-18 c. −12-12 d. −20-20

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