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CGP EDU Academic Team
Published on: August 13, 2026
Point on y 2 = 4x that is nearest to the circle x 2 + (y – 12) 2 = 1, is
Text Solution
Verified by ExpertsThe correct answer is:
B
Shortest distance between two curves always occur along the common normal. That means if 'P' is the required point then PA becomes the common normal.
Let P ≡ ≡ (t 2 , 2t). Equation of normal at 'P' is :
y = − − tx + 2t + t 3 , it should pass through (0, 12). Thus t 3 + 2t − − 12 = 0
⇒ ⇒ t = 2. Hence P = (4, 4).
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