Home
Class 12
MATHS
If 0lt= thetalt=pi and the system of equ...

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

A

`(5pi)/6`

B

`pi/4`

C

`(2pi)/3`

D

`(3pi)/4`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise PART - II|20 Videos

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise PART - III|20 Videos

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise SECTION - IV|13 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( 5 MARKS)|6 Videos

  • ORDINARY DIFFERENTIAL EQUATIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 , (cos theta) x+y+2z=0 , theta le 0 lt 2 pi has non-trivial solution (s)

Solve the equations: sin 2theta - cos 2 theta - sin theta + cos theta = 0

The system of homogenous equations tx+(t+1)y+(t-1)z=0 , (t+1)x+ty+(t+2)z=0 , (t-1)x+(t+2)y+tz=0 has a non trivial solution for

Let lambda and alpha be real. Then the numbers of intergral values lambda for which the system of linear equations lambdax +(sin alpha) y+ (cos alpha) z=0 x + (cos alpha) y+ (sin alpha) z=0 -x+(sin alpha) y -(cos alpha) z=0 has non-trivial solutions is

If (sin 3theta)/(cos 2theta)lt 0 , then theta lies in

If z = (1)/(1 - cos theta - i sin theta), the Re (z)=

If z = 1 - cos theta + i sin theta , then |z| =

SURA PUBLICATION-MODAL QUESTION PAPER-PART - I
  1. The rank of the matrix [(1,2,3,4),(2,4,6,8),(-1,-2,-3,-4)] is

    Text Solution

    |

  2. If 0lt= thetalt=pi and the system of equations x+(sintheta)y- (costhet...

    Text Solution

    |

  3. If |z(1)| = 1, |z(2)| = 2, |z(3)| = 3 and |9z(1)z(2) + 4z(1) z(3) + z(...

    Text Solution

    |

  4. Which one of the points i,-2+i,2and3 is farthest from the origin?

    Text Solution

    |

  5. If alpha, beta and gamma are the zeros of x^3 + px^2 + qx + r, then Si...

    Text Solution

    |

  6. The range of sec^(-1)x is

    Text Solution

    |

  7. If P (x,y) be any point on 16x^(2) + 25y^(2) = 400 with foci F(1)...

    Text Solution

    |

  8. If the length of the perpendicular from the origin to the plane 2x+3y+...

    Text Solution

    |

  9. The system of linear equations x+y+z =2, 2x+y-z=3, 3x+2y+kz= has a uni...

    Text Solution

    |

  10. If A is an orthogonal matrix, then |A| is

    Text Solution

    |

  11. If z is a complex number such that Re (z) = Im(z), then

    Text Solution

    |

  12. If z is any complex number, then the points z,iz,-z,-iz

    Text Solution

    |

  13. If sinalphaandcosalpha are the roots of 25x^(2)+5x-12=0 then the value...

    Text Solution

    |

  14. If a and b are odd integers then the roots of the equation 2ax^(2)+(2a...

    Text Solution

    |

  15. If 4cos^(-1)x+sin^(-1)x=pi, then x is

    Text Solution

    |

  16. The domain of the function cos^(-1)(2x-1) is

    Text Solution

    |

  17. If 5x + 9 = 0 is the directrix of the hyperbola 16x^(2)-9y^(2)=144 the...

    Text Solution

    |

  18. If ax^(2)+by^(2)+(a+b-4)xy-ax-by-20=0 represent the circle then its ce...

    Text Solution

    |

  19. The foot of the perpendicular from A (1, 0, 0) to the line (x-1)/2=(y+...

    Text Solution

    |

  20. If A is a non-singular matrix such that A^(-1)=[(5,3),(-2,-1)], "then"...

    Text Solution

    |