Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If ax + by = 1 is a normal to the parabola y 2 = 4Px, then prove that Pa 3 + 2aPb 2 = b 2
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Equation of normal to y 2 = 4Px at (x 1 , y 1 ) is y – y 1 = 
(x – x 1 ) ; y – y 1 = 
⇒ 4py 1 x + 8p 2 y = y 13 + 8p 2 y 1
Compair with ax + by = 1
⇒ 
= 
= y 13 + 8p 2 y 1
⇒ y 1 = 
& 
= y 12 + 8p 2
⇒ Pa 3 + 2aPb 2 = b 2 .
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