Home
Class 12
MATHS
Number of real roots of the equation[[1,...

Number of real roots of the equation`[[1, x, x], [ x, 1, x],[ x, x, 1]|+|[1-x , 1, 1], [1 , 1-x , 1 ],[ 1 , 1, 1-x]|=0` is

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    CENGAGE|Exercise Question Bank|23 Videos

  • DETERMINANT

    CENGAGE|Exercise Multiple Correct Answer|5 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise|337 Videos

Similar Questions

Explore conceptually related problems

Number of real roots of the equation e^(x-1)-x=0 is

The number of real root of the equation e^(x-1)+x-2=0 , is

The number of real roots of the equation |2-|1-|x|||=1 is

The number of real roots of the equation 1+3^(x//2)=2^(x) , is

Number of real roots of the equation sqrt(x)+sqrt(x-sqrt((1-x)))=1 is

The number of roots of the equation 1+log_(2)(1-x)=2^(-x) , is

Solve the equation: |[x,1,1],[1,x,1],[1,1,x]|=0

CENGAGE-DETERMINANTS-Question Bank
  1. Number of real roots of the equation[[1, x, x], [ x, 1, x],[ x, ...

    Text Solution

    |

  2. If |[sqrt(3) x-x^2, x-1 , x-sqrt3], [sqrt3 x , x , sqrt3-1] ,[x-1, ...

    Text Solution

    |

  3. If f(x)=|cos (x+alpha) , cos (x+beta) , cos (x+gamma)],[ sin (x+alpha...

    Text Solution

    |

  4. If the equations p x+2 y-3=0, x+3 y-4=0 and p x^2+3 y^2+3 x y+(q-3) x-...

    Text Solution

    |

  5. Let f(x)=|[1+sin ^2 x, cos ^2 x , 4 sin 2 x],[ sin ^2 x ,1+cos ^2 x...

    Text Solution

    |

  6. Given 2 x-y+2 z=1 , x-2 y+z=-4 , and x+y+lambda z =4. Then the. value ...

    Text Solution

    |

  7. If M and m are maximum and minimum value, respectively of |[1 , cos th...

    Text Solution

    |

  8. The value of |[log (3) 512 , log (4) 3 ],[ log (3) 8 , log (4) 9]||[...

    Text Solution

    |

  9. If x in[0, (pi)/2] such that |(sin x+cos x)-sqrt2| +|y+(1)/(y)-2|+|z| ...

    Text Solution

    |

  10. If alpha, beta, gamma are roots of the equation x^3+x^2+2 x-4=0, then ...

    Text Solution

    |

  11. If p and q are real so that sysiem of equations p x+4 y +z=0,2 y+3 z=1...

    Text Solution

    |

  12. If |[1 , x, x^2],[ x , x^2 , 1],[ x^2 , 1 , x]|=3, then the value ...

    Text Solution

    |

  13. Let f(x) = |[x,1,(-3)/(2)],[2,2,1],[(1)/(x-1) ,0,(1)/(2)]| . The miniu...

    Text Solution

    |

  14. In the determinant, Delta=|[-2, 5 , -1],[ 4 , 7, 0],[ 5, -3, 1]|...

    Text Solution

    |

  15. If |[x^2, x^4 , (x-1)^2],[ 0, 4, 6 x^2 ],[ 4 ,1,7] |= overset(6) ...

    Text Solution

    |

  16. If a, b, c are the sides of a scalene triangle such that |[a , a^2 , a...

    Text Solution

    |

  17. Number of real roots of the equation |[sin x , x], [1 , 1]||[cos x, ...

    Text Solution

    |

  18. Let a+b+c=s and |[s+c, a, b],[ c ,s+a, b],[ c, a , s+b]|is cqua...

    Text Solution

    |

  19. In triangle A B C, if |[1, a, b],[ 1 , c, a],[ 1, b, c]|=0 then...

    Text Solution

    |

  20. If system of linear equations (a-1) x+z=alpha1 x+(b-1) y=beta and y+(c...

    Text Solution

    |