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

A

0

B

50

C

1

D

`-50`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |13 Videos
  • DEFINITE INTEGRALS AND ITS APPLICATIONS

    BITSAT GUIDE|Exercise BITSAT Archives |25 Videos
  • DIFFERENTIAL COEFFICIENTS

    BITSAT GUIDE|Exercise BITSAT Archives|17 Videos

Similar Questions

Explore conceptually related problems

If f(x) =|(1,x,(x+1)),(2x,x(x-1),(x+1)x),(3x(x-1), x(x-1)(x-2),x(x-1)(x+1))| then f(50)+f(51)..f(99) is equal to

If f(x)=|(1,x,x+1),(2x, x(x-1(, x(x+1)),(3x(x-1), x(x-1)(x-2), x(x-1)(x+1))| then (A) f(x) is a polynomial of degree 4 (B) f(x) is an odd function (C) f(x) is a costant function (D) f(x) is an even function

If f(x) =|(1, x, x+1),(2x, x(x-1), x(x+1)), (3x(x-1), 2(x-1)(x-2), x(x+1)(x-1))| then what is f(-1) +f(0) +f(1) equal to ?

If f (x) = |[a,x,x+1],[2x,x(x-1),x(x+1)],[3x(x-1),x(x-1)(x-2),x(x+1)(x-1)]| , then f (10) is equal to

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

If f(x)=|1xx+1 2xx(x-1)(x+1)x3x(x-1)x(x-1)(x-2)(x+1)x(x-1)| then f(5000) is equal to 0 b. 1 c. 500 d. -500

prove that |(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(1-x),x(x-1)(x-2),x(x+1)(x-1))|=6x^(2)(1-x^(2))

If f(x)=|[1,2(x-1),3(x-1)(x-2)],[x-1,(x-1)(x-2),(x-1)(x-2)(x-3)],[x,x(x-1),x(x-1)(x-2)]| . Then, the value of f(2020) is

If D(x)=det[[(x-1),(x-1)^(2),x^(3)(x-1),x^(2),(x+1)^(3)x,(x+1)^(2),(x+1)^(3) then the coefficient of x in D(x), is ]]

If f(x)=det[[x-2,(x-1)^(2),x^(3)(x-1),x^(2),(x+1)^(3)x,(x+1)^(2),(x+2)^(3) then coefficient of x in f(x), is ]]