Home
Class 12
MATHS
If a != b != c, are value of x which sat...

If `a != b != c`, are value of x which satisfies the equation
`|(0,x -a,x -b),(x +a,0,x -c),(x +b,x +c,0)| = 0` is given by

A

x = 0

B

x = a

C

x = b

D

x = c

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • DETERMINANTS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE |1 Videos

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise Miscellaneous Questions (Assertion/Reason)|1 Videos

  • DIFFERENTIAL EQUATIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Matching Entries) |2 Videos

Similar Questions

Explore conceptually related problems

If aneb ne c , one value of x which satisfies the equation |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)| = 0

If a ne b ne c , then one value of x which satisfies the equation. [(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)] = 0 is given by :

Knowledge Check

  • If f(x)= |(0,x-alpha,x-b),(x+a,0,x-c),(x+b,x+c,0)| ,then

    A
    f(a)=0
    B
    f(b)=0
    C
    f(0)=0
    D
    f(1)=0

  • If a, b and c are real numbers, then roots of the equation (x - a) (x -b) + (x - b) (x - c) + (x - c) (x -a) = 0 are always :

    A
    Real
    B
    Imaginary
    C
    Positive
    D
    Negative

  • If f(x) = |(0, x-a, x-b),(x+a, 0, x-c),(x+b, x+c, 0)| , then the value of f(0) is :

    A
    `a + b + c`
    B
    3abc
    C
    0
    D
    1

    • Similar Questions

    Explore conceptually related problems

    Solve the equation |{:(x+a,c+b,x+c),(x+b,x+c,x+a),(x+c,x+a,x+b):}|=0

    Solve the equation: |[x+a, b,c],[a,x+b,c],[a,b,x+c]|=0

    The value of x satisfying |{:(x-a,b,c),(a,x+b,c),(a,b,x+c):}|=0 is

    If a, b and c are real numbers then the roots of the equation (x – a) (x – b) + (x – b) (x – c) + (x – c) (x – a) = 0 are always

    If a+c+c=0, then the solution of the equation |(a-x,c,b),(c,b-x,a),(b,a,c-x)| =0 is

    Home
    Profile