The equation of the normal to the curve 3x^2 - y^2 = 8, which is parallel to the line x + 3y = 10, is

MHT CET 2023 Mathematics question

Mathematics Application of Derivatives MHT CET 2023

The equation of the normal to the curve , which is parallel to the line , is

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

Answer: (C)

Solution

The line has slope , so the normal has slope and the tangent at the point of contact has slope . Differentiating : . Substituting in the curve: , so the points are

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Question ID VK-097316