Home
Class 11
MATHS
sin^(2) theta = ((x+y)^(2))/(4xy) is tru...

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

A

`x+y != 0`

B

`x = pm y, x != 0, y != 0`

C

`x=y`

D

`x != 0, y != 0`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise EXERCISE - I|35 Videos

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|2 Videos

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos

Similar Questions

Explore conceptually related problems

If x and y are two positive real numbers (x ne y) , prove that cos^(2) theta = ((x+y)^(2))/(4 xy) is not possible.

If "cosec"^(2) theta = (4xy)/((x+y)^(2)) , then

The equation Sin^(2)theta=(x^(2)+y^(2))/(2xy),x,y!=0 is possible if

The equation cosec theta = (x^(2)+y^(2))/(2 xy) is (x != 0, y != 0)

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

If x=a cos^(3) theta sin^(2) theta,y = a sin^(3) theta cos^(2) theta and ((x^(2)+y^(2))^(p))/((xy)^(q))(p,q in N) is independent of theta , the

If x =a cos ^(3) theta, y= a sin ^(3) theta then (d^(2) y)/( dx ^(2)) at theta = pi //4 is

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

AAKASH SERIES-TRIGONOMERTIC RATIOS-EXERCISE- II
  1. In Delta le ABC, 5 cos A + 3 = 0 then the quadratic equation whose roo...

    Text Solution

    |

  2. If sin A , cos A and tan A are in G.P. then cot^(6) A- cot^(2) A =

    Text Solution

    |

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

    Text Solution

    |

  4. Which of the following is possible?

    Text Solution

    |

  5. If y=cos^(2) theta + sec^(2) theta , theta != n pi, n in Z then

    Text Solution

    |

  6. If tan 35^(@) +cot 37^(@) +tan 325^(@)=x tan 53^(@)+ tan 127^(@) then ...

    Text Solution

    |

  7. sin^(2) 5^(@)+sin^(2) 10^(@) +sin^(2)15^(@)+...+sin^(2) 180^(@)=

    Text Solution

    |

  8. If K is a positive integer then sin(alpha + pi) + Sin(alpha + 2pi) + S...

    Text Solution

    |

  9. cos theta + cos ( pi + theta ) + cos (2pi + theta) + ...+2n terms =

    Text Solution

    |

  10. sin^(4) theta + 2 sin^(2) theta (1-(1)/("cosec"^(2) theta ) )+ cos^(4)...

    Text Solution

    |

  11. cos^(2) 5^(@) + cos^(2) 10^(@) +cos^(2) 15^(@)+...+cos^(2)360^(@)=

    Text Solution

    |

  12. In Delta ABC, cos""((B+2C+3A)/(2))+ cos""((A-B)/(2))=

    Text Solution

    |

  13. The ratio between (1+cos alpha)/(sin^(2) alpha) and a+((1+cos alpha)/(...

    Text Solution

    |

  14. If theta = (pi)/(21), then (sin23 theta-sin 7 theta)/( sin2 theta + si...

    Text Solution

    |

  15. If 1+sin theta + sin^(2) theta + ...oo= 4+2sqrt(3), 0 lt theta lt pi a...

    Text Solution

    |

  16. If ( sin x + cos x)/(cos^(3)x)=a tan^(3)x+b tan^(2)x+c tan x+d then ...

    Text Solution

    |

  17. If sin^(4) theta + cos^(4) theta = l + 3 +k sin^(2) theta cos^(2) thet...

    Text Solution

    |

  18. If 4 sin theta + 3 cos theta =5 then tan theta =

    Text Solution

    |

  19. If sqrt(sin x)+ cos x = 0 then sin x =

    Text Solution

    |

  20. sin^(2) x=1-sinx then cos^(4)x+cos^(2)x=

    Text Solution

    |