Home
Class 12
MATHS
If f(x)=|{:(1,x,x+1),(2x,x(x-1),(x+1)x),...

If `f(x)=|{:(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1)):}|` then f (100) is equal to :

A

0

B

1

C

100

D

`-100`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Multiple Choice Questions - LEVEL - II|42 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|5 Videos

  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|21 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MODERN PUBLICATION|Exercise RCQs (Questions from Karnataka CET & COMED)|25 Videos

Similar Questions

Explore conceptually related problems

If f(x)=[[1 ,x ,x+1],[2 x ,x(x-1) ,(x+1) x],[3 x(x-1),x(x-1)(x-2) ,(x+1)x(x-1)]] then f(200) is

If f(x) = x tan^(-1)x , then f^(')(1) is equal to

Let f(x)=x^(3)-(1)/(x^3) , then f(x)+f((1)/(x)) is equal to :

If f(x)=1+x+(x^(2))/(2)+ . . .+(x^(100))/(100) , then f'(a) is equal to :

If f(x)=(x-1)/(x+1) , then f(f(a x)) in terms of f(x) is equal to

If f(x)=log((1+x)/(1-x))andg(x)=(3x+x^(3))/(1+3x^(2)) , then f(g(x)) is equal to :

If f(x) = {(1/(1+e^(1/x)), x ne 0),(0, x= 0):} then f(x) is