Home
Class 12
MATHS
If a^2+b^2+c^2=-2, and f(x)= |{:(1+a^2x...

If `a^2+b^2+c^2=-2`, and `f(x)=` `|{:(1+a^2x,(1+b^2)x,(1+c^2)x),((1+a^2)x,1+b^2x,(1+c^2)x),((1+a^2)x,(1+b^2)x,1+c^2x):}|` , then `f(x)` is a polynomial of degree

A

3

B

2

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS|Exercise Determinants Exercise 7:|3 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 a^2+b^2+c^2=-2a n df(x)= |1+a^2x(1+b^2)x(1+c^2)x(1+a^2)x1+b^2x(1+c^2)x(1+a^2)x(1+b^2)x1+c^2x| , then f(x) is a polynomial of degree 0 b. 1 c. 2 d. 3

If cos^(-1) ((1-a^(2))/(1+a^(2)))- cos^(-1) ((1-b^(2))/(1+b^(2))) = 2 tan^(-1) x , then x is

If intf(x)cos x dx = 1/2 f^(2)(x)+C , then f(x) can be

If intf(x)cos x dx = 1/2 f^(2)(x)+C , then f(x) can be

If f(x)=|((1+x)^a,(1+2x)^b,1),(1,(1+x)^a,(1+2x)^b), ((1+2x)^b,1,(1+x)^a)| then find constant term and coefficient of x

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

Let f(x) = tan^(-1)(((x-2))/(x^(2)+2x+2)) ,then 26 f'(1) is

Consider the polynomial fucntion f(x) = |{:((1+x)^(2),,(1+2x)^(b),,1),(1,,(1+x)^(a),,(1+2x)^(b)),((1+2x)^(b),,1,,(1+x)^(a)):}| a,b being positive integers. Which of the following is true ?

If a^(x)=b^((1)/(2)),b^(y)=c^((1)/(3)),c^(z)=a^((1)/(2)) , find xyz

If f(x) = log (2x-1), find f'( c ) .

Home
Profile