Home
Class 12
MATHS
Let f(x) = ax^(2)+bx+c , g(x) =px^(2...

Let `f(x) = ax^(2)+bx+c , g(x) =px^(2)+qx+r`, such that `f(1)=g(1),f(2)=g(2) and f(3)-g(3)=2.` then `f(4)-g(4) ` is -

A

4

B

5

C

6

D

7

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE main (AIEEE ) Archive|3 Videos

  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Assertion Type|2 Videos

  • RELATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

f(x)=e^x.g(x) , g(0)=2 and g'(0)=1 then f'(0)=

If f(x)=e^xg(2x),g(0)=4 and g'(0) = 2 then f'(0) is equal to

If f(x) = ax + b and g(x) = cx + d, then f(g(x))=g(f(x)) implies

f(x) and g(x) are two differentiable functions on [0, 2] such that f''(x)-g''(x)=0, f'(1)=2, g'(1)=4, f(2)=3 and g(2)=9 , then [f(x)-g(x)] at x=(3)/(2) is equal to -

Let f(x)=(1)/(1+x^(2)) and g(x) is the inverse of f(x) ,then find g(x)

If f :R ->R , f(x)=x^3 +3 ,and g:R->R , g(x)=2x + 1 , then f^(-1)(g^(-1)(23)) equals

If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x))dot

If the function f(x)=x^(3)+e^((x)/(2)) and g(x)=f^(-1)(x) , then the value of g'(1) is

If f(x) and g(x) are twice differentiable functions on (0, 3) satisfying f''(x)=g''(x), f'(1)=4,g'(1)=6,f(2)=3,g(2)=9," then "f(1)-g(1) is -

If f(x) and g(x) are twice differentiable functions on (0,3) satisfying f"(x) = g"(x), f'(1) = 4, g'(1)=6,f(2)=3, g(2) = 9, then f(1)-g(1) is