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JEE Advanced2011MathematicsParabolaActual

Consider the parabola y^2=8 x . Let ₁ be the area of the triangle formed by the end points of its latusrectum and the point P ( 1 2 , 2 ) on the parabola and ₂ be the area of the triangle formed by drawing tangents at P and at the end points of the latusrectum. Then, ₁ ₂ is

Correct answer

2

Step-by-step solution

As, we know area of triangle formed by three points on parabola is twice the area of triangle formed by corresponding tangents, i.e. area of P Q R=2 area of T₁ T₂ T₃ . ₁=2 ₂ or ₁ ₂ =2

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