Home
Class 12
MATHS
If asin^2x+bcos^2x=c,bsin^2y+acos^2y=d a...

If `asin^2x+bcos^2x=c,bsin^2y+acos^2y=d` and `atanx=btany` then `a^2/b^2=........ (0ltx,yltpi/ 2)`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|13 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If asin^2x+bcos^2x=c,bsin^2y+acos^2y=d,and atanx=btany , then prove that a^2/b^2=((d-a)(c-a))/((b-c)(b-d)) .

If a sin^(2)x+b cos^(2)x=c, b sin^(2)y+a cos^(2)y=d and atan x=btany then the value of ((d-a)(c-a))/((b-c)(b-d))=

If tanx=b//a, then: acos2x+bsin2x=

Eliminate theta and phi if asin^(2)theta + bcos^(2)theta = m, bsin^(2) phi + acos^(2)phi =n and atan theta = btanphi

Solve: a^2x+b^2y=c^2; b^2x+a^2y=d^2

x=acos^(2)t,y=asin^(2)t find dy/dx

If y=Asin^2x+Bcos^2x then prove that sin2xy_2-2cos2xy_1=0

int_(0)^(pi//2)(acos^(2)x+bsin^(2)x)dx

If y= tan ^(-1) ((acos x -bsin x )/( bcos x+asin x ) ) ,then (dy)/(dx)=

If x= asin t- b cos t ,y=a cost +bsin t,then y^(3) (d^(2) y)/(dx^(2) )=

OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. The minimum value of 9tan^2theta+4cot^2theta is

    Text Solution

    |

  2. If x(1),x(2),x(3),...,x(n) are in A.P. whose common difference is alph...

    Text Solution

    |

  3. If asin^2x+bcos^2x=c,bsin^2y+acos^2y=d and atanx=btany then a^2/b^2=.....

    Text Solution

    |

  4. If a (n+1)=sqrt((1)/(2)(1+a(n)))then cos((sqrt(1-a(0)^(2)))/(a(1)a(2)a...

    Text Solution

    |

  5. If alpha,beta,gamma,delta are the smallest positive angles in ascendin...

    Text Solution

    |

  6. The value of cosycos(pi/2-x)-cos(pi/2-y)cosx+sinycos(pi/2-x)+cosxsin(p...

    Text Solution

    |

  7. If cosx-sinalphacotbetasinx=cosalpha,then tan""(x)/(2) is equal to

    Text Solution

    |

  8. The expression cosec^(2)A cot^(2)A-sec^(2)A tan^(2)A-(cot^(2)A-tan^(...

    Text Solution

    |

  9. If sin alpha -cos alpha = m, then the value of sin^6alpha+cos^6alpha i...

    Text Solution

    |

  10. if 0<=x<=pi and 81^(sin^2x)+81^(cos^2x)=30 then x=

    Text Solution

    |

  11. If cos(A-B)=3/5and tan A tanB=2, then

    Text Solution

    |

  12. The value of (3+cot76^@cot16^@)/(cot76^@+cot16^@) is

    Text Solution

    |

  13. If sin x+sin^2=1, then cos^8 x+2 cos^6 x+cos^4 x=

    Text Solution

    |

  14. If x=ycos((2pi)/3)=zcos((4pi)/3), then xy+yz+zx=

    Text Solution

    |

  15. If sin alpha=sinbeta and cos alpha=cosbeta, then

    Text Solution

    |

  16. If sintheta(1)+sintheta(2)+sintheta(3)=3, then cos theta(1)+cos theta(...

    Text Solution

    |

  17. If A lies in the third quadrant and 3 tan A-4 = 0, then 5 sin 2A + 3si...

    Text Solution

    |

  18. tan 5x tan3x tan2x=

    Text Solution

    |

  19. The value of sin12^(@)sin24^(@)sin48^(@), is

    Text Solution

    |

  20. If A+B+C = (3pi)/(2),then cos2A+cos2B+cos2C=

    Text Solution

    |