JEE MATHEMATICS MCQ: MAXIMA & MINIMA

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Application +4 | -1

If the point

(1,3)

serves as the point of inflection of the curve

y=a x^3+b x^2,

then the value of

a

and

b

are

View answer and explanation

Correct option: D

a=-\frac{3}{2}

and

b=\frac{9}{2}

Option D (

a=-\frac{3}{2}

and

b=\frac{9}{2}

) is correct because the point (1,3) lies on the curve and the second derivative at x=1 is zero, indicating a point of inflection.

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m(b)

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