Question

If the point (1, 3) serves as the point of inflection of the curve y = ax³ + bx² then the value of 'a ' and 'b' are ______.

विकल्प

• a = `3/2` and b = `-3/2`

• a = `3/2` and b = `9/2`

• a = `-3/2` and b = `-9/2`

• a = `-3/2` and b = `9/2`

Answer 1

If the point (1, 3) serves as the point of inflection of the curve y = ax³ + bx² then the value of 'a ' and 'b' are `underlinebb(a = -3/2 and b = 9/2)`.

Explanation:

y"(1, 3) = 0

⇒ 6a(1) + 2b = 0

b = –3a