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Question: If tangent drawn from point P(2, 1) to the parabola y<sup>2</sup> – 2y + 4x + 2 = 0 meet at A & B t...

If tangent drawn from point P(2, 1) to the parabola

y2 – 2y + 4x + 2 = 0 meet at A & B then area of DPAB is ?

A

27

B

27/4

C

9

D

27/2

Answer

27/2

Explanation

Solution

D = 12a\frac{1}{2a} (S1)3/2

D = 12×1\frac{1}{2 \times 1} (1 – 2 + 8 + 2)3/2

D = 12\frac{1}{2} (32)3/2

̃ D = 272\frac{27}{2}