Home
Class 12
MATHS
Let P={theta:sintheta-costheta=sqrt2cos...

Let `P={theta:sintheta-costheta=sqrt2cos theta}and Q={theta:sintheta+costheta=sqrt2sintheta}` be two ses. Then,

A

`PsubeQ` and `Q-Pneocancel`

B

`QcancelsubeP`

C

`PcancelsubeQ`

D

`P=Q`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

  • GEOMETRY

    RESONANCE|Exercise Exercise-1 (Part-I: Previous Asked Question For Pre RMO)|50 Videos

Similar Questions

Explore conceptually related problems

Let P={theta:sintheta-costheta=sqrt2costheta}and Q={theta: sintheta+costheta=sqrt2sintheta} be two sets. Then

If sintheta+costheta=sqrt(2)sintheta , then sintheta-costheta=?

If sin theta+costheta=sqrt(2)costheta then what is (costheta-sintheta) equal to ?

If costheta-sintheta=sqrt(2)costheta , then find the value of costheta+sintheta .

If : cos theta-sintheta=sqrt2.sin theta, "then": costheta+sintheta=

If costheta+sintheta=sqrt(2)costheta , then costheta-sintheta is

If sintheta - cos theta = sqrt(2)cos theta , then the value of sintheta + cos theta is:

If costheta +sin theta= sqrt(2)cos theta , then prove that costheta-sintheta =sqrt(2)sin theta

int((sintheta+costheta))/sqrt(sin2theta)"d"theta=

If sintheta+costheta=sqrt(2)sin(90^(@)-theta) , then cottheta=?

RESONANCE-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. The number of values of theta in the interval (-pi/2,pi/2) such that t...

    Text Solution

    |

  2. Let (x0, y0) be the solution of the following equations In (2x)^(In2)=...

    Text Solution

    |

  3. Let P={theta:sintheta-costheta=sqrt2cos theta}and Q={theta:sintheta+c...

    Text Solution

    |

  4. Let theta ,phi in [0,2pi] be such that 2 cos theta (1-sin phi)=sin^2 t...

    Text Solution

    |

  5. The value of 6+log(3/2)(1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sqrt2)sq...

    Text Solution

    |

  6. If 3^(x)=4^(x-1), then x=

    Text Solution

    |

  7. For x in (0,pi) the equation sinx+2sin2x-sin3x=3 has

    Text Solution

    |

  8. The number of distinct solutions of the equation 5/4cos^(2)2x + cos^4 ...

    Text Solution

    |

  9. Let -1/6 < theta < -pi/12 Suppose alpha1 and beta1, are the root...

    Text Solution

    |

  10. Let S={xepsilon(-pi,pi):x!=0,+pi/2}The sum of all distinct solutions ...

    Text Solution

    |

  11. Q. The value of is equal sum(k=1)^13(1/(sin(pi/4+(k-1)pi/6)sin(pi/4+k ...

    Text Solution

    |

  12. Let alphaa n dbeta be nonzero real numbers such that 2(cosbeta-cosalph...

    Text Solution

    |

  13. The value of ((log(2)9)^(2))^((1)/(log(2)(log(2)9)))xx(sqrt(7))^((1)/...

    Text Solution

    |

  14. If A, B and C are three sets such that AnnB""=""AnnC and AuuB""=""AuuC...

    Text Solution

    |

  15. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then which...

    Text Solution

    |

  16. Let cos(alpha+beta)=(4)/(5) and let sin(alpha-beta)=(5)/(13), where 0 ...

    Text Solution

    |

  17. If A = sin^2x + cos^4 x, then for all real x :

    Text Solution

    |

  18. Let X""=""{1,""2,""3,""4,""5} . The number of different ordered pairs ...

    Text Solution

    |

  19. In a DeltaPQR. if 3 sinP +4 cosQ=6 and 4sinQ+3cosP=1, then the angle R...

    Text Solution

    |

  20. If A and B two sets containing 2 elements and 4 elements, respectively...

    Text Solution

    |