Home
Class 12
MATHS
If f(x) is a polynomial of degree n(gt2)...

If f(x) is a polynomial of degree `n(gt2)` and `f(x)=f(alpha-x)`,
(where `alpha` is a fixed real number ), then the degree of f'(x) is

A

n

B

n-1

C

n-2

D

0

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise For Session 1|7 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise For Session 2|11 Videos
  • DETERMINANTS

    ARIHANT MATHS|Exercise Expansion of Determinant|5 Videos
  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

If f(x) is a polynomial function f:R→R such that f(2x)=f (x) f ′′(x) Then f(x) is

Let f(x) be a polynomial of degree 5 such that f(|x|)=0 has 8 real distinct , Then number of real roots of f(x)=0 is ________.

If f(x) is a polynomial of degree n such that f(0)=0 , f(x)=1/2,....,f(n)=n/(n+1) , ,then the value of f (n+ 1) is

Let f(x) be a polynomial satisfying f(0)=2 , f'(0)=3 and f''(x)=f(x) then f(4) equals

Let f(x) = |x-2|, where x is a real number. Which one of the following is true?

A polynomial of 6th degree f(x) satisfies f(x)=f(2-x), AA x in R , if f(x)=0 has 4 distinct and 2 equal roots, then sum of the roots of f(x)=0 is

If f(x) =(x^2) , then f@ f(x) =

f(x) is polynomial of degree 4 with real coefficients such that f(x)=0 satisfied by x=1, 2, 3 only then f'(1) f'(2) f'(3) is equal to -

Let f(x) be a polynomial of degree four having extreme values at x =1 and x=2. If underset(xrarr0)lim[1+(f(x))/x^2] =3, then f(2) is equal to

If f(x)=ax+b and the equation f(x)=f^(-1)(x) be satisfied by every real value of x, then