Home
Class 12
MATHS
The number of possible value of theta li...

The number of possible value of `theta` lies in `(0,pi)`, such that system of equation `x+3y+7z=0`, `-x+4y+7z=0`, `xsin3theta+ycos2theta+2z=0` has non trivial solution is/are equal to (a) 2 (b) 3 (c) 5 (d) 4

A

Two

B

Three

C

Four

D

One

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|78 Videos
  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos
  • JEE MAIN REVISON TEST-23

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos
  • MOCK TEST 1

    VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|10 Videos

Similar Questions

Explore conceptually related problems

The system of equations ax + 4y + z = 0,bx + 3y + z = 0, cx + 2y + z = 0 has non-trivial solution if a, b, c are in

The real value of k for which the system of equation 2k x-2y+3z=0, x+ky+2z=0, 2x+kz=0 has non-trivial solution is

Number of values of theta lying I [0,100 pi ] for which the system of equations (sin 3 theta ) x-y+z=0, (cos 2 theta ) x+4y +3z=0, 2x+ 7y+7z =0 has non-trivial solution is "____"

the value of theta for which the system of equations (sin 3theta)x-2y+3z=0, (cos 2theta)x+8y-7z=0 and 2x+14y-11z=0 has a non - trivial solution, is (here, n in Z )

The number of integral value(s) of k such that the system of equations kz-2y-z=x, ky-z=z+3x and 2x+kz=2y-z has non - trivial solution, is/are

Prove that the system of equations in xa +y+z=0 , x +by +z=0 , x +y+cz=0 has a non - trivial solution then 1/(1-a) + 1/(1-b)+ 1/(1-c)=

If the system of equations x-ky+3z=0, 2x+ky-2z=0 and 3x-4y+2z=0 has non - trivial solutions, then the value of (10y)/(x) is equal to

The number of integral values of a for which the system of linear equations x sin theta -2 y cos theta -az=0 , x+2y+z=0,-x+y+z=0 may have non-trivial solutions, then

Find a in R for which the system of equations 2ax-2y+3z=0 , x+ay + 2z=0 and 2x+az=0 also have a non-trivial solution.

If 0 lt theta lt pi and the system of equations (sin theta) x + y + z = 0 x + (cos theta) y + z = 0 (sin theta) x + (cos theta) y + z = 0 has a non-trivial solution, then theta =

VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
  1. |(a-b-c,2a,2a),(2b,b-c-a,2b),(2c,2c,c-a-b)|

    Text Solution

    |

  2. Let a(1),a(2),a(3), …, a(10) be in G.P. with a(i) gt 0 for i=1, 2, …, ...

    Text Solution

    |

  3. Let A=[(2,b,1),(b,b^(2)+1,b),(1,b,2)] where b gt 0. Then the minimum v...

    Text Solution

    |

  4. Let d in R, and A[{:(,-2,4+d,(sin theta-2)),(,1,(sin theta)+2,d),(,5,(...

    Text Solution

    |

  5. If B = [{:(5, 2alpha, 1),(0, 2, 1),(alpha, 3, -1):}] is the inver...

    Text Solution

    |

  6. Matrix=[[e^t,e^-t(sint-2cost),e^-t(-2sint-cost)],[e^t,-e^-t(2sint+cost...

    Text Solution

    |

  7. Let A and B be two invertible matrices of order 3xx3. If det. (ABA^(T)...

    Text Solution

    |

  8. If A = [(costheta,-sintheta),(sintheta,costheta)], then the matrix A^(...

    Text Solution

    |

  9. If [x] denotes the greatest integer le x, then the system of liner equ...

    Text Solution

    |

  10. Let lambda be a real number for which the system of linear equations ...

    Text Solution

    |

  11. If the system of linear equation x+y+z=5, x+2y+2z = 6, x+3y + lambda z...

    Text Solution

    |

  12. If the system of equations, 2x + 3y-z = 0, x + ky -2z = 0 " and " 2x-y...

    Text Solution

    |

  13. If the system of linear equations x-2y + kz = 1, 2x + y+ z = 2, 3x-y...

    Text Solution

    |

  14. The greatest value of for which the system of linear equations x-c...

    Text Solution

    |

  15. The set of all values of lambda for which the system of linear equatio...

    Text Solution

    |

  16. An ordered pair (alpha, beta) for which the system of linear equations...

    Text Solution

    |

  17. If the system of linear equations 2x+2y+3z=a 3x-y+5z=b x-3y+2z=...

    Text Solution

    |

  18. The number of possible value of theta lies in (0,pi), such that system...

    Text Solution

    |

  19. If the system of linear equations x-4y+7z=g, 3y-5z=h, -2x+5y-9z=k is c...

    Text Solution

    |

  20. The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2...

    Text Solution

    |