Home
Class 11
MATHS
Maximum/Minimum value of ax^(2) + bx + c...

Maximum/Minimum value of `ax^(2) + bx + c` occurs at `x = - (b)/(2a)`, and its value is :

A

`Delta`

B

`(Delta)/(a)`

C

`(Delta)/(4a)`

D

`- (Delta)/(4a)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER - 20

    ICSE|Exercise SECTION - B |10 Videos

  • MODEL TEST PAPER - 20

    ICSE|Exercise SECTION - C|10 Videos

  • MODEL TEST PAPER - 17

    ICSE|Exercise SECTION -C|10 Videos

  • MODEL TEST PAPER - 9

    ICSE|Exercise SECTION - C |9 Videos

Similar Questions

Explore conceptually related problems

I) The maximum value of c + 2bx -x^(2) is c+b^(2) II) The minimum value of x^(2) + 2bx + c is c-b^(2) Which of the above statements is true ?

Let f(x) = x^2 + ax + b . If the maximum and the minimum values of f(x) are 3 and 2 respectively for 0 <= x <= 2 , then the possible ordered pair(s) of (a,b) is/are

If a seven-digit number made up of all distinct digits 8, 7, 6, 4, 2, x and y divisible by 3, then (A) Maximum value of x-y is 9 (B) Maximum value of x+y is 12 (C) Minimum value of xy is 0 (D) Minimum value of x+y is 3

If A = 4 sin theta + cos^(2) theta , which of the following is not true ? (A) Maximum value of A is 5 . (B) Minimum value of A is -4 (C) Maximum value of A occurs when sin theta = 1//2 (D) Minimum value of A occurs when sin theta = 1 .

Find the maximum and minimum value of y = asin^2x + b sinx.cosx + c cos^2x

Let f(x) = 4x^(2)-4ax+a^(2)-2a+2 and the golbal minimum value of f(x) for x in [0,2] is equal to 3 The number of values of a for which the global minimum value equal to 3 for x in [0,2] occurs at the endpoint of interval[0,2] is

If the function y = ae^(x) + bx^(2)+3x is maximum at x = 0 and minimum at x = - 3, then find the values of a and b.

Find the value of x and y: ax +by =a-b bx-ay =a+b

If A=4sintheta+cos^2theta, then which of the following is not true? (a) maximum value of A is 5. (b)minimum value of A is -4 (c) maximum value of A occurs when sintheta=1/2dot (d) Minimum value of A occurs when maximum value of sin theta =1

The sum of −2x^2 + x + 31 and 3x^2 + 7x − 8 can be written in the form ax^2 + bx + c , where a, b, and c are constants.What is the value of a + b + c ?