JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

1 Easy

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Application +4 | -1

An equation of the curve for which the portion of

y

-axis cut off between the origin and the tangent varies as the cube of the abscissa of the point of contact is (

K

is constant of proportionality)

View answer and explanation

Correct option: C

y=-K x^3 / 2+C x

The correct answer is C (

y=-K x^3 / 2+C x

) because it satisfies the differential equation derived from the given condition about the y-intercept of the tangent.

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