Home
Class 11
MATHS
Consider the system of equations in x, y...

Consider the system of equations in x, y, z as `x sin 3 theta-y + z=0, x cos 2 theta+ 4y + 3z= 0`, 2x + 7y + 7z = 0. If this system has a non-trival solution, then for integer n, values of `theta` are given by :

A

`pi(n+((-1)^n)/3)`

B

`pi(n+((-1)^n)/4)`

C

`pi(n+((-1)^n)/6)`

D

`(n pi)/2`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

Solve the system of equations 2x+3y-3z=0 , 3x-3y+z=0 and 3x-2y-3z=0

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

If 0lt=thetalt=pi and the system of equations x=(sin theta)y+(cos theta)z y=z+(cos theta) x z=(sin theta) x+y has a non-trivial solution then (8theta)/(pi) is equal to

Solve the following system of linear equations by matrix method: x - y + z = 4, 2x + y - 3z = 0, x + y + z = 2

Solve the following system of linear equations by matrix method : 3x + y + z = 10, 2x - y - z = 0, x - y + 2z = 1

Solve the following system of linear equations by matrix method: 2x + 3y + 4z = 4, x - 2y - z = -2, 3x - y + z = 0

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. The angle of elevation of the top of a hill from a point is alpha. Aft...

    Text Solution

    |

  2. If tan(x/2)=cosec x-sin x, then find the value of tan^(2) (x/2).

    Text Solution

    |

  3. Consider the system of equations in x, y, z as x sin 3 theta-y + z=0, ...

    Text Solution

    |

  4. Prove that cos^(4) .(pi)/(8) + cos^(4).(3pi)/(8)+cos^(4).(5pi)/(8)+c...

    Text Solution

    |

  5. Prove that : "tan"(pi/(4)+1/(2)"cos"^(-1)a/(b))+"tan"(pi/(4)-1/(2)"cos...

    Text Solution

    |

  6. The equation sqrt3 sinx+cos x=4 has:

    Text Solution

    |

  7. The value of cos 15^@ cos 7 1^@/2 sin 7 1^@/2 is:

    Text Solution

    |

  8. The most general values of 'x' for which sin x + cos x =underset( a i...

    Text Solution

    |

  9. If a= 2 sqrt2, b= 6, A = 45^@, then:

    Text Solution

    |

  10. In triangle ABC, if sin Asin B=(ab)/c^2, then the triangle is :

    Text Solution

    |

  11. The value of : (1+cos frac (pi)(6)) (1+cos frac (pi)(3))(1+cos frac (2...

    Text Solution

    |

  12. P=1/2 sin^2 theta+1/3 cos^2 theta, then :

    Text Solution

    |

  13. The smallest value of 5 cos theta+ 12 is :

    Text Solution

    |

  14. Smallest form of 2/(sqrt(2+sqrt(2+sqrt(2+2 cos4x)))) is :

    Text Solution

    |

  15. If 5 cos 2 theta +2 cos^2 (theta/2)+1=0, when (0 ltthetalt pi), then t...

    Text Solution

    |

  16. If aa n db are positive quantities such that a > b , the minimum value...

    Text Solution

    |

  17. If A+B=45^@ then then (cot A- 1) (cot B- 1) is equal to :

    Text Solution

    |

  18. The solution of the equation : [sin x + cos x]^(1+sin2x)=2, -pi lexle ...

    Text Solution

    |

  19. If sin A- sqrt6 cos A= sqrt7 cosA, then: cosA+ sqrt6 sinA is equal to...

    Text Solution

    |

  20. If tan A and tan B are the roots of abx^2- c^2x + ab= 0, where a, b, c...

    Text Solution

    |