Angle between the parabola y^2=4(x-1) and x^2+4(y-3)=0 at the common end of their latus rectum is

MHT CET 2025 Mathematics question

Mathematics Application of Derivatives MHT CET 2025

Angle between the parabola and at the common end of their latus rectum is

(A)Correct
(B)
(C)
(D)

Answer: (A)

Solution

For : vertex , , focus ; the latus rectum is with ends . For : vertex , , focus ; the latus rectum is with ends . The common end is (check: and ). Slopes at : from ,

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Question ID VK-101820