Maths Differentiation and Applications of Derivatives Karnataka - CET Previous Year Question Single Correct MCQ
Published on: August 14, 2026

If a curve passes through the point and at any point on the curve, the product of the slope of its tangent and co-ordinate of the point is equal to the co-ordinate of the point, then the curve also passes through the point

A
B

C
D

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Text Solution

Verified by Experts
The correct answer is:
B

: Let be the curve which passes through the point .

According to question

Put , then we get

(i)

From the given options, only option satisfy (i).

The curve also passes through the point .

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