Home
Class 12
MATHS
If a + b + c = 0 one root of |(a -x,c,b)...

If `a + b + c = 0` one root of `|(a -x,c,b),(b,b -x,a),(b,a,c -x)|= 0`, is

Text Solution

Verified by Experts

The correct Answer is:
`x=0`
`x=0orx=nesqrt((3)/(2)(a^(2)+b^(2)+c^(2)))`
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MOTION|Exercise EXERCISE-4 (LEVEL-I)|13 Videos

  • DETERMINANTS

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|6 Videos

  • DETERMINANTS

    MOTION|Exercise EXERCISE-2 (LEVEL-II)|6 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -4 LEVEL-II|33 Videos

  • DIFFERENTIABILITY

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|15 Videos

Similar Questions

Explore conceptually related problems

If a+b+c=0 the one root of |{:(a-x,c,b),(c,b-x,a),(b,a,c-x):}| =0 is

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

if a+b+c=0 then Delta=|{:(a-x,c,b),(c,b-x,a),(b,a,c-x):}|=0 is

If a+b+c=0, one root of [[a-x, c, b],[c, b-x, a],[ b, a, c-x]]=0 is a. x=1 b. x=2 c. x=a^2+b^2+c^2 d. x=0

If a+b+c=0, solve the equation: |[a-x, c, b],[c,b-x, a],[b, a, c-x]|=0

a+b+c=0, solve for x : [[a-x,c,b],[c,b-x,a],[b,a,c-x]]=0

MOTION-DETERMINANTS -EXERCISE-3
  1. Solve for x, |[x+2,2x+3,3x+4] , [2x+3,3x+4,4x+5] , [3x+5,5x+8, 10x+17]...

    Text Solution

    |

  2. Solve : |x-2 2x-3 3x-4x-4 2x-9 3x-16 x-8 2x-27 3x-64|=0

    Text Solution

    |

  3. If a + b + c = 0 one root of |(a -x,c,b),(b,b -x,a),(b,a,c -x)|= 0, is

    Text Solution

    |

  4. If a^2+b^2+c^2=1 then show that value of the determinant |a^2+(b^2+c^2...

    Text Solution

    |

  5. If a,b,c are all distinct and |[a,a^3,a^4-1],[b,b^3,b^4-1],[c,c^3,c^4-...

    Text Solution

    |

  6. Show that | [a^2 +lambda, ab, ac], [ab, b^2+lambda, bc], [ac, bc, c^2+...

    Text Solution

    |

  7. Prove that :|[a^2,b^2,c^2], [(a+1)^2, (b+1)^2, (c+1)^2], [(a-1)^2, (b-...

    Text Solution

    |

  8. In triangle A B C , if |1 1 1cotA/2cotB/2cotC/2tanB/2+tanC/2tanB/2+tan...

    Text Solution

    |

  9. Prove that |{:(2,alpha+beta+gamma+delta,alphabeta +gammadelta),(alph...

    Text Solution

    |

  10. Solve for x the equation |(a^(2),a,1),(sin(n+1)x,sin nx,sin(n-1)x),(...

    Text Solution

    |

  11. Solve the following sets of equations using Cramer's rule and remark a...

    Text Solution

    |

  12. Solve the following sets of equation using Cramers rule and remark a...

    Text Solution

    |

  13. Solve the following sets of equation using Cramers rule and remark a...

    Text Solution

    |

  14. For what value of K do the following system of equations poss...

    Text Solution

    |

  15. Investigate for what values of lambda, mu the simultaneous equa...

    Text Solution

    |

  16. Investigate for what values of lambda, mu the simultaneous equa...

    Text Solution

    |

  17. . For what values of lambda and mu the system of equations x+y+z=6, x+...

    Text Solution

    |

  18. If the system of equations x – ky – z = 0, kx – y – z=0, x + y – z = 0...

    Text Solution

    |

  19. Find the real values of r for which the following system of linear equ...

    Text Solution

    |

  20. If Sr = alpha^r + beta^r + gamma^r then show that |[S0,S1,S2],[S1,S2,S...

    Text Solution

    |