Home
Class 12
MATHS
If x,y,z in R & Delta =|(x,x+y,x+y+z),(2...

If `x,y,z in R & Delta =|(x,x+y,x+y+z),(2x,5x+2y,7x+5y+2z),(3x,7x+3y,9x+7y+3z)|=-16` then the value of x is

A

`-2`

B

`-3`

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES & DETERMINANT

    RESONANCE|Exercise SECTION-C|11 Videos
  • MATRICES & DETERMINANT

    RESONANCE|Exercise SECTION-D|17 Videos
  • MATRICES & DETERMINANT

    RESONANCE|Exercise EXERCISE-1|7 Videos
  • INDEFINITE INTEGRATION

    RESONANCE|Exercise SELF PRACTIC PROBLEMS|25 Videos
  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos

Similar Questions

Explore conceptually related problems

If x,y and zinR , and Delta=|(x,x+y,x+y+z),(2x,5x+2y,7x+5y+2z),(3x,7x+3y,9x+7y+3z)|=-16 , then find value of x.

if 2x+3y-3z=0;5x-2y+2z=19;x+7y-5z=5. Then the value of x+y-z is

If x + y = 5, y + z = 7, z + x = 6, then the value of x, y and z are

evaluate: |(3x,-x+y,-x+z),(x-y,3y,z-y),(x-z,y-z,3z)|

If [[x+y+z],[x+z],[y+z]] = [[9],[5],[7]] ,then the value of x-y+z is

If [(-2x+y),(x+y+z),(x+y)]=[(-3),(3),(3)] , then the respective value of x,y and z are :

If, 2^(x+y-2z)=8^(8z-5-y), 5^(4y-6z)= 25^(y+z), 3^(4x-3z)=9^(x+z) then the value of 2x+3y+5z is: यदि 2^(x+y-2z)=8^(8z-5-y), 5^(4y-6z)= 25^(y+z), 3^(4x-3z)=9^(x+z) है, तो 2x+3y+5z का मान क्या होगा ?

If the lattice point P(x, y, z) , x, y, zgto and x, y, zinI with least value of z such that the 'p' lies on the planes 7x+6y+2z=272 and x-y+z=16, then the value of (x+y+z-42) is equal to

RESONANCE-MATRICES & DETERMINANT-SECTION-B
  1. If minor of three-one element (i.e.M(31)) in the determinant [{:(,0,1,...

    Text Solution

    |

  2. Using the properties of detminants, evalulate. (i) |{:(,23,6,11),(,36...

    Text Solution

    |

  3. Prove that: (i) |{:(,1,1,1),(,a,b,c),(,a^(3),b^(3),c^(3)):}|=(a-b)(b-...

    Text Solution

    |

  4. If a,b,c are positive and ar the p^(th),q^(th),r^(th) terms respective...

    Text Solution

    |

  5. Find the non-zero roots of the equation. (i) Delta=|{:(,a,b,ax+b),(,...

    Text Solution

    |

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

    Text Solution

    |

  7. The value of |(a(1) x(1) + b(1) y(1),a(1) x(2) + b(1) y(2),a(1) x(3) +...

    Text Solution

    |

  8. If [{:(,e^(x),sin x),(,cos x,ln(1+x))]:}=A+Bx+Cx^(2)+....... then find...

    Text Solution

    |

  9. If A and B are squar matrices of order 3 such that |A|=-1, |B|=3 then ...

    Text Solution

    |

  10. Let A=[(cos^(- 1)x,cos^(- 1)y,cos^(- 1)z),(cos^(- 1)y,cos^(- 1)z,cos^...

    Text Solution

    |

  11. |[-1,2,1] , [3+2sqrt2,2+2sqrt2,1] , [3-2sqrt2,2-2sqrt2,1]|=

    Text Solution

    |

  12. If alpha,beta & gamma are the roots the equations x^(3)+px+q=0 then th...

    Text Solution

    |

  13. If a, b,c gt 0& x,y,z in R" then the determinant"[{:(,(a^(x)+a^(-x))^(...

    Text Solution

    |

  14. If a,b,c are non-zero real numbers then D=|[b^2 c^2, bc, b+c] , [c^2a^...

    Text Solution

    |

  15. The determinant |(b(1)+c(1),c(1)+a(1),a(1)+b(1)),(b(2)+c(2),c(2)+a(2...

    Text Solution

    |

  16. If x,y,z in R & Delta =|(x,x+y,x+y+z),(2x,5x+2y,7x+5y+2z),(3x,7x+3y,9x...

    Text Solution

    |

  17. The value of the determinant |(cos(theta+phi),-sin(theta+phi),cos2phi)...

    Text Solution

    |

  18. Consider the set A of all determinants of order 3 with entries 0 or 1 ...

    Text Solution

    |