Home
Class 12
MATHS
If x = acos^(3)theta sin^(2)theta,y = as...

If `x = acos^(3)theta sin^(2)theta`,`y = asin^(3)theta cos^(2)theta` and `(x^(2) + y^(2))^(p)/(xy)^(q)(p,q in N)` is independent of `theta`, then :

A

`p + q = 6`

B

`4p = 5q`

C

`4q = 5p`

D

`pq = 16.`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUSTIONS FROM AIEEE/JEE EXAMINATIONS|8 Videos

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|10 Videos

  • UNIT TEST PAPER NO - 4

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|25 Videos

Similar Questions

Explore conceptually related problems

sin ^(6) theta+cos ^(6) theta+3 sin ^(2) theta . cos ^(2) theta=

x=acos^(3)theta,y=asin^(3)theta then find (d^(2)y)/(dx^(2))

x = a cos theta, y = b sin theta .

If x=acos^(3)theta and y=asin^(3)theta , then (dy)/(dx)=

If x = a cos^(3) theta , y = a sin^(3) theta , then 1+((dy)/(dx))^(2) is _______

If acos theta+b sin theta=p and a sin theta-b cos theta=q then

If x = a (cos theta + theta sin theta), y = a(sin theta - theta cos theta) then (d^(2)y)/(dx^(2)) =

If x=a cos ^(3) theta and y = a sin^(3) theta then (dy)/( dx) =

If x = a(cos theta + theta sin theta), y = a (sintheta - theta cos theta), dy/dx =

x = cos theta - cos 2 theta, y = sin theta - sin 2 theta . then find dy/dx

MODERN PUBLICATION-TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS-MULTIPLE CHOICE QUESTION(LEVEL-II)
  1. tan^(6)""pi/9 - 33tan^(4)""pi/9 + 27tan^(2)""pi/9 equals :

    Text Solution

    |

  2. If x = cos theta cos phi + sin theta sin phi cos psi,y = cos theta sin...

    Text Solution

    |

  3. If x = acos^(3)theta sin^(2)theta,y = asin^(3)theta cos^(2)theta and (...

    Text Solution

    |

  4. If sin theta, cos theta, tan theta are in G.P.,then cos^(9)theta + cos...

    Text Solution

    |

  5. If D = |(1" "cosalpha" "1),(-sinalpha" "1" "-cosalpha),(-1" "sinalpha"...

    Text Solution

    |

  6. The number of all possible triples (a(1),a(2),a(3)) such that a(1) + a...

    Text Solution

    |

  7. If acosA - bsinA = c, then asinA + bcosA equals :

    Text Solution

    |

  8. The least difference between the roots of the equation : 4cosx(2 - 3si...

    Text Solution

    |

  9. The most general solution of : tan theta = -1,cos theta = 1/sqrt(2) is...

    Text Solution

    |

  10. For n in Z, the general solution of the equation (sqrt(3)-1) sin theta...

    Text Solution

    |

  11. The general solution of sinx - 3sin2x + sin3x = cosx - 3cos2x + cos3x ...

    Text Solution

    |

  12. The number of values of x in the interval [0,5pi] satisfying the equat...

    Text Solution

    |

  13. The number of real solutions of the equation : cos^(7)x + sin^(4)x = 1...

    Text Solution

    |

  14. If 1/6 sin theta,cos theta and tan theta are in G.P., then the general...

    Text Solution

    |

  15. The most general values of x for which sinx + cosx = underset (a in R)...

    Text Solution

    |

  16. Let [x] = the greatest integer less than or equal to x and let f(x) = ...

    Text Solution

    |

  17. The number of all possible 5-tuples alpha, alpha(2), alpha(3), alpha(4...

    Text Solution

    |

  18. The solution of |cosx| = cosx - 2sinx is :

    Text Solution

    |

  19. The equation 8cosx cos2x cos4x = (sin6x)/(sinx) has a solution given b...

    Text Solution

    |

  20. The value of theta lying in (0,pi/2) and satisfying : |(1 + sin^(2)th...

    Text Solution

    |