Home
Class 12
MATHS
If int0^3 (3ax^2+2bx+c)dx=int1^3 (3ax^2+...

If `int_0^3 (3ax^2+2bx+c)dx=int_1^3 (3ax^2+2bx+c)dx` where `a,b,c` are constants then `a+b+c=`

A

`a+b+c=3`

B

`a+b+c=1`

C

`a+b+c=0`

D

`a+b+c=2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Let a, b, c be non-zero real numbers such that ; int_0^1 (1 + cos^8 x)(ax^2 + bx + c)dx = int_0^2 (1+cos^8 x)(ax^2 + bx +c)dx then the quadratic equation ax^2 + bx + c = 0 has -

If y = ax^(2)+bx + c = 0 where a,b,c are arbitrary constants then the differential equation is :

The equation 4ax^2 + 3bx + 2c = 0 where a, b, c are real and a+b+c = 0 has

Verify that the function y = c_(1) e^(ax) cos bx + c_(2)e^(ax) sin bx , where c_(1),c_(2) are arbitrary constants is a solution of the differential equation (d^(2)y)/(dx^(2)) - 2a(dy)/(dx) + (a^(2) + b^(2))y = 0

If p(x) = ax^2 + bx + c and Q(x) = -ax^2 + dx +c where ac ne 0 then p(x). Q(x) = 0 has at least …………. Real roots

If cos A, cosB and cosC are the roots of the cubic x^3 + ax^2 + bx + c = 0 where A, B, C are the anglesof a triangle then find the value of a^2 – 2b– 2c .

If the equation x^(2)+2x+3=0 and ax^(2)+bx+c=0, a,b,c in R have a common root, then a:b:c is

If alpha and beta , alpha and gamma , alpha and delta are the roots of the equations ax^(2)+2bx+c=0 , 2bx^(2)+cx+a=0 and cx^(2)+ax+2b=0 respectively where a , b , c are positive real numbers, then alpha+alpha^(2) is equal to

If ax^(2)+ bx +c and bx ^(2) + ax + c have a common factor x +1 then show that c=0 and a =b.

If 2−i is one root of the equation ax^2+bx+c=0, and a,b,c are rational numbers, then the other root is ........