Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let the tangent to the parabola S : y 2 = 2x at the point P(2, 2) meet the x-axis Q at and normal at it meet the parabola S at the point R. Then the area (in sq. units) of the triangle PQR is equal to:
A
B
C
D
25
Text Solution
Verified by ExpertsThe correct answer is:
A
Tangent at P : y(2) = 2(1/2)(x + 2)
⇒ 2y = x + 2
∴ Q = (−2, 0)
Normal at 
⇒ y − 2 = −2(x − 2)
⇒ y = 6 − 2x
∴ Solving with 
sq.units
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