Home
Class 14
MATHS
sec^(2)theta = 4xy/(x+y)^(2) is true if...

`sec^(2)theta = 4xy/(x+y)^(2)` is true if and only if

A

`x=-y`

B

`xgty`

C

`x=y`

D

`xlty`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -III|90 Videos
  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -IV|22 Videos
  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos
  • TIME AND WORK

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos

Similar Questions

Explore conceptually related problems

cos ec^(2)theta=(4xy)/((x+y)^(2)) is true if and only if

sin^(2)theta=(4xy)/((x+y)^(2)) is true if and only if (A)x-y!=0(B)x=-y(C)x=y(D)x!=0,y!=0

sec^(2)theta = frac{4xy}{(x+y)^(2)} is true if and only if

sec^(2)x=(4xy)/((x+y)^(2)) is true if and only if

If sec^(2)theta=4x(y)/((x+y)^(2)) then how many pairs of x and y are there for which the condition x!=y is true

Show that the equation sec^(2)theta=(4xy)/((x+y)^(2)) is only possible when x=y

The equation (a+b)^(2)=4ab sin^(2)theta is true if and only if

Prove that the relation sin^(2)theta = (x+y)^(2)/4xy is not 4xy possible for any real theta where x in R , y in R such that |x | ne ly| .

KIRAN PUBLICATION-TRIGONOMETRY -TYPE - II
  1. If xsin45^(@)=y"cosec " 30^(@), then (x^(4))/(y^(4)) is equal to

    Text Solution

    |

  2. If 5tantheta=4 , then (5sintheta-3costheta)/(5sintheta+2costheta) is ...

    Text Solution

    |

  3. sec^(2)theta = 4xy/(x+y)^(2) is true if and only if

    Text Solution

    |

  4. If alpha+beta=90^(@),then the value of (1-sin^(2)alpha)(1-cos^(2)alph...

    Text Solution

    |

  5. The minium value of 4tan^(2)theta+9cot^(2)theta is equal to

    Text Solution

    |

  6. If sin7x=cos11x, then the value of tan9x+cot9x is

    Text Solution

    |

  7. If tan^(2)alpha=1+2tan^(2)beta, then sqrt(2)cosalpha+cosbeta is equal ...

    Text Solution

    |

  8. If theta be acute angle and costheta=(15)/(17) , then the value of ...

    Text Solution

    |

  9. If sec^(2)theta+tan^(2)theta=(7)/(12), then sec^(4)theta-tan^(4)theta=...

    Text Solution

    |

  10. If 0lt xlt(pi)/(2)andsecx= "cosecy" then the value of sin(x+y) is :

    Text Solution

    |

  11. If A, B and C be the angles of a triangle, then which of the following...

    Text Solution

    |

  12. If sinalpha+cosbeta=2(o^(@)lebetaltalphale90^(@)) , then sin((2alpha...

    Text Solution

    |

  13. If cos^(4)theta-sin^(4)theta=(2)/(3) , then the value of 2cos^(2)...

    Text Solution

    |

  14. If sinalphasec(30^(@)+alpha)=1(0^(@)ltalphalt60^(@)), then find the va...

    Text Solution

    |

  15. If tantheta=1, then the value of (8sintheta+5cos theta)/(sin^(3)thet...

    Text Solution

    |

  16. If theta be a positive acute angle satisfying cos^(2)theta+cos^(4)...

    Text Solution

    |

  17. The simplified value of (SecA-cosA)^(2)+("cosec" A-sinA)^(2)-(cotA-t...

    Text Solution

    |

  18. If sintheta-costheta=(7)/(13)and0ltthetalt90^(@) , then the value of ...

    Text Solution

    |

  19. If 2costheta-sintheta=(1)/(sqrt(2)),(0^(@)ltthetalt90^(@))the value o...

    Text Solution

    |

  20. If sec^(2)theta+tan^(2)theta=7 , then the value of theta

    Text Solution

    |