Home
Class 12
MATHS
if x = a cos^3 theta sin^2 theta and y ...

if ` x = a cos^3 theta sin^2 theta and y = a cos^2 theta sin^3 theta` and `(x^2 + y^2)^p/(xy)^q` is independent of `theta`, then (A) `4p=5q` (B) `5p=4q` (C) `p+q=9` (D) `pq=20`

A

`p=4`

B

`p=5`

C

`q=4`

D

`q=5`

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|13 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|53 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

If p=a cos^(2)theta sin theta and q=a sin^(2)theta cos theta then (((p^(2)+q^(2))^(3))/(p^(2)q^(2)) is

If x = 3 sin theta + 4 cos theta and y = 3 cos theta - 4 sin theta then prove that x^(2) + y^(2) = 25 .

If x = 3sin theta + 4cos theta and y = 3cos theta - 4 sin theta then prove that x^(2) + y^(2) = 25 .

5. sin p theta+sin q theta=0

If p=(2sin theta)/(1+cos theta+sin theta), and q=(cos theta)/(1+sin theta) , then

If x =p cosec theta and y =q cot theta , then the value of (x^2)/(p^2)- (y^2)/(q^2) is

If sin theta=p and cos theta=q then find p^(2)+q^(2) is

If sin theta=(p)/(q), then the value of cos theta+sin theta

ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (More Than One Correct Option Type Questions)
  1. Let f(n)(theta)= 2 sin . (theta)/(2) sin. (3theta)/(2) + 2 sin.(theta)...

    Text Solution

    |

  2. Let P=sin 25^(@) sin 35^(@)sin 60^(@) sin 85^(@) and Q=sin20^(@)sin40...

    Text Solution

    |

  3. let 0ltphiltpi/2, x=sum(n=0)^oocos^(2n)phi, y=sum(n=0)^oosin^(2n)phi a...

    Text Solution

    |

  4. Let P(x)=cot^(2)x ((1+tanx+tan^(2)x)/(1+cot x+ cot^(2)x))+((cos x-cos ...

    Text Solution

    |

  5. It is known that sinbeta=4/5 and 0 < beta < pi then the value of (sqrt...

    Text Solution

    |

  6. In cyclic quadrilateral ABCD, if cot A=3/4 and tan B= (-12)/(5), then ...

    Text Solution

    |

  7. If the equation 2cos^(2)x+cosx-a=0 has solutions, then a can be

    Text Solution

    |

  8. If A=sin 44^(@)+cos44^(@), B=sin45^(@)+ cos45^(@) and C= sin46^(@)+cos...

    Text Solution

    |

  9. If tan(2alpha+beta)=x & tan(alpha+2beta)=y, then [ tan3(alpha+beta)]. ...

    Text Solution

    |

  10. If x=secphi-tanphi and y=cosecphi+cotphi then

    Text Solution

    |

  11. If tan(x/2)=cosec x-sin x, thentan^(2)(x/2) is equal to

    Text Solution

    |

  12. If y=(sqrt(1-sin4x)+1)/(sqrt(1+sin 4x)-1), then y can be

    Text Solution

    |

  13. If 3sinbeta=sin(2alpha+beta) then

    Text Solution

    |

  14. Let P(n)(u) be a polynomial is u of degree n. Then, for every positive...

    Text Solution

    |

  15. If tan theta=(sin alpha- cos alpha)/(sin alpha+cos alpha), then

    Text Solution

    |

  16. If cos 5theta=a cos theta + b cos^(3)theta+c cos^(5) theta+d, then

    Text Solution

    |

  17. x=sqrt(a^2cos^2alpha+b^2sin^2alpha)+sqrt(a^2sin^2alpha+b^2cos^2alpha) ...

    Text Solution

    |

  18. If n is an odd positive interger, then ((cosA+cosB)/(sinA-sinB))^(n)...

    Text Solution

    |

  19. Let P(k)=(1+cospi/(4k)) (1+cos((2k-1)pi)/(4k)) (1+cos((2k+1)pi)/(4k))...

    Text Solution

    |

  20. if x = a cos^3 theta sin^2 theta and y = a cos^2 theta sin^3 theta an...

    Text Solution

    |