Home
Class 11
MATHS
If asin^(2)x+bcos^(2)x=c, bsin^(2) y+a c...

If `asin^(2)x+bcos^(2)x=c, bsin^(2) y+a cos^(2) y = d and a tan x = btan y` then `(a^(2))/(b^(2))` =

A

`((a-d)(c-a))/((b-c)(d-b))`

B

`((b-c)(b-d))/((a-c)(a-d))`

C

`((b-c)(d-b))/((a-d)(c-a))`

D

`((d-a)(c-a))/((b-c)(d-b))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) (LEVEL - II (ADVANCED) (SINGLE ANSWER TYPE QUESTIONS)|8 Videos
  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) (LEVEL - II (ADVANCED) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|9 Videos
  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos
  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Practice Exercise|34 Videos

Similar Questions

Explore conceptually related problems

If y= A sin x+ B cos x , then prove that (d^(2)y)/(dx^(2))+y=0 .

If y= 5 cos x-3 sin x , prove that (d^(2)y)/(dx^(2))+y=0 .

If x= a sec^(n) theta , y = b tan^(n) theta then (x/a)^(2//n) -(y/b)^(2//n)=

If a sin x = b cos x =(2c tan x )/(1- tan^(2) x) " then " ((a^(2)-b^(2))^(2))/(a^2+b^(2))=

If y = ax ^(2) + b// x then x ^(2) y _(2) =

If y = Tan ^(-1) ((cos x- sin x)/(cos x + sin x)) then (d ^(2) y)/(dx ^(2))=

If tan^(4)x+tan^(4)y+2cot^(2)xcot^(2)y=3+sin^(2)(x+y) then

AAKASH SERIES-TRIGONOMETRIC RATIOS-ADDITIONAL PRACTICE EXERCISE (LEVEL - II) (PRACTICE SHEET (ADVANCED) SIGNLE ANSWER TYPE QUESTIONS)
  1. If asin^(2)x+bcos^(2)x=c, bsin^(2) y+a cos^(2) y = d and a tan x = bta...

    Text Solution

    |

  2. If ABCD is a cydic quadrilateral such that 12 tan A - 5 = 0 and 5 co...

    Text Solution

    |

  3. tanA = a tanB, sinA = bsinB rArr (b^(2) - 1)/(a^(2) - 1) =

    Text Solution

    |

  4. If sec theta + cos theta = 2 then sin^(2) theta + tan^(2) theta=

    Text Solution

    |

  5. If theta = (11pi)/(6). Then cos theta + sin theta =

    Text Solution

    |

  6. a = sec theta - tan theta and b=cosectheta+cottheta rArr a =

    Text Solution

    |

  7. If a sin^(3)x+b cos^(3)x= sin x cos x and a sin x= b cos x then a^(2)+...

    Text Solution

    |

  8. If m cos^(2) A + n sin^(2) A = p, then cot^(2) A=

    Text Solution

    |

  9. x = tan theta + cot theta, y = cos theta - sin theta rArr

    Text Solution

    |

  10. If (sintheta-costheta+1)/(sintheta+costheta-1)=(x)/(tantheta-sectheta+...

    Text Solution

    |

  11. sin x + sin^(2) x + sin^(3) x = 1 rArr cos^(6) x - 4cos^(4) x + cos^(2...

    Text Solution

    |

  12. cos theta + cos^(2) theta = 1, cos theta + cos^(2) theta = 1 + d sin^(...

    Text Solution

    |

  13. cosA, sinA, cotA are in GP then tan^(6) A - tan^(2) A =

    Text Solution

    |

  14. If e^((1+sin^(2)x+sin^(4)x+...oo)log2)=16, then tan^(2)x =

    Text Solution

    |

  15. If 0 le x le pi, 4^(sin^(2)) + 4 ^(cos^(2)x) = 5, then x =

    Text Solution

    |

  16. If sin beta is the G.M between sin alpha and cos alpha then (cos alpha...

    Text Solution

    |

  17. If x = a cos^(3) theta sin^(2) theta,y = a sin^(3) theta cos^(2) thea ...

    Text Solution

    |

  18. If sin theta and theta are the roots of px^(2) + qx + r = 0 then q^(2)...

    Text Solution

    |

  19. If cos x = tan y, cot y = tan z and cot z = tan x, then sin x =

    Text Solution

    |

  20. If sin theta + cos thea = m and sec theta+ cosec theta = n, then n (m...

    Text Solution

    |

  21. If m= a Cos^(3) theta + 3a Cos theta Sin^(2) theta and n=a Sin^(3) the...

    Text Solution

    |