Home
Class 12
MATHS
Which of the following is not the root o...

Which of the following is not the root of the equation `|[x,-6,-1],[ 2,-3x,x-3],[-3, 2x,x+2]|=0?` a.`2` b. `0` c. `1` d. `-3`

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer|5 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Solve for x , |[x,-6,-1], [ 2,-3x,x-3], [-3, 2x, x+2]| =0.

State which of the following is the product of the roots of the equation 2x^2-3x+7=0 ?

show that x =2 is a root to the equation |{:(x,-6,-1),(2,-3x,x-3),(-3,2x,2+x):}|=0

Find the root of equation 2x^2+3 x + 11=0.

Find the roots of the equation (1)/(x)-(1)/(x-2)=3, x ne 0,2

Find the roots of the quadratic equation |x^(2)|-3|x|+2=0 .

Verify whether 1 and (3)/(2) are the roots of the equation 2x^(2)-5x+3=0

Find the number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=0.

Product of roots of equation |(1+2x,1,1-x),(2-x,2+x,3+x),(x,1+x,1-x^2)|=0 is

The roots of the quadratic equation 2x^2+3x+1 =0 are

CENGAGE PUBLICATION-DETERMINANTS-All Questions
  1. Value of |[x+y, z,z ],[x, y+z, x],[y, y, z+x]|, where x ,y ,z are nonz...

    Text Solution

    |

  2. If e^(itheta)=costheta+isintheta, find the value of |[1,e^(ipi//3),e...

    Text Solution

    |

  3. Which of the following is not the root of the equation |[x,-6,-1],[ 2,...

    Text Solution

    |

  4. If A,B,C are the angles of a non right angled triangle ABC. Then find ...

    Text Solution

    |

  5. Let f(x)=a(5)x^(5)+a(4)x^(4)+a(3)x^(3)+a(2)x^(2)+a(1)x, "where" a(i),s...

    Text Solution

    |

  6. Evaluate |(cosalphacosbeta,cosalpha sinbeta , - sin alpha),(-sin beta,...

    Text Solution

    |

  7. Roots of the equation |x m n1a x n1a b x1a b c1|)=0 are independent ...

    Text Solution

    |

  8. Prove that the value of each the following determinants is zero: |[a...

    Text Solution

    |

  9. If a ,b ,c are different, then the value of x satisfying |[0,x^2-a, x^...

    Text Solution

    |

  10. Prove that the value of each the following determinants is zero: |...

    Text Solution

    |

  11. If |(b +c,c +a,a +b),(a +b,b +c,c +a),(c +a,a +b,b +c)| = k |(a,b,c),(...

    Text Solution

    |

  12. A triangle has vertices Ai(xi , yi)fori=1,2,3 If the orthocentre of tr...

    Text Solution

    |

  13. If alpha,beta,gamma are the roots of a x^3+b x^2+cx+d=0 and |[alpha,b...

    Text Solution

    |

  14. If Delta=|(a1,b1,c1),(a2,b2,c2),(a3,b3,c3)| and Delta1=|(a1+pb1,b1+q...

    Text Solution

    |

  15. Prove that the value of each the following determinants is zero: |[(a^...

    Text Solution

    |

  16. The value of the determinant |(1^2, 2^2, 3^2, 4^2) ,(2^2, 3^2 ,4^2,5^2...

    Text Solution

    |

  17. If f(x)= |1 x x+1 2x x(x-1)(x+1)x3x(x-1)x(x-1)(x-2)(x+1)x(x-1)| then f...

    Text Solution

    |

  18. Prove that the value of each the following determinants is zero: |[l...

    Text Solution

    |

  19. If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero ...

    Text Solution

    |

  20. Show that |[1,1+p,1+p+q],[2,3+2p,1+3p+2q],[3,6+3p,1+6p+3q]|= 1

    Text Solution

    |