Home
Class 12
MATHS
The given expression sec^2 theta =(4xy)/...

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

A

`x+y ne 0`

B

`x = y, x ne 0`

C

`x=y`

D

`x ne 0, y =0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    BITSAT GUIDE|Exercise BITSAT Archives|41 Videos

  • THREE DIMENSIONAL GEOMETRY

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |11 Videos

  • VECTOR ALGEBRA

    BITSAT GUIDE|Exercise BITSAT Archives|21 Videos

Similar Questions

Explore conceptually related problems

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

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

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

If sec^(2)theta=(4xy)/((x+y)^(2)) is true if and only if x+y!=0( b) x=y,x!=0(c)x=y(d)x!=0,y!=0

sec^(2)theta=(4xy)/((x+y)^(2)) is true if and only if x+y!=0 (b) x=y,x!=0x=y( d ) x!=0,y!=0

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

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

sin^(2)theta=((x+y)^(2))/(4xy) where x,y in R gives theta if and only if

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

BITSAT GUIDE-TRIGONOMETRY-BITSAT Archives
  1. The given expression sec^2 theta =(4xy)/((x+y)^(2)) is true if and onl...

    Text Solution

    |

  2. Number of roots of the equation |sinxcosx| +sqrt(2+t a n^2x+cot^2x)=sq...

    Text Solution

    |

  3. The greatest and least values of (sin^(-1)x)^(2) + (cos^(-1)x)^(2) are...

    Text Solution

    |

  4. Find the number of solutions of cos x =|1+ sin x |, 0 le x le 3 pi

    Text Solution

    |

  5. The vaue of the expression sin [cot^(-1){cos (tan^(-1))}] is

    Text Solution

    |

  6. An object is observed from the points A, B and C lying in a horizontal...

    Text Solution

    |

  7. If tan 20^(@) =lamda, then (tan 160^(@) -tan 110^(@))/(1+ (tan 160^(@)...

    Text Solution

    |

  8. The angles of a triangle are in AP and the least angle is 30^(@). What...

    Text Solution

    |

  9. If A+B+C=90^(@)," then "(cot A+ cot B+ cot C)/(cot A cot B cot C) is e...

    Text Solution

    |

  10. In Delta ABC, if a=2, b=3 and sin A =(2)/(3). Then, cos C is equal to

    Text Solution

    |

  11. If 4 sin^(-1) x + cos^(-1) x= pi, then x is equal to

    Text Solution

    |

  12. If tan theta =(1)/(2) and tan phi =(1)/(3), then the value of theta + ...

    Text Solution

    |

  13. If sin theta =(1)/(2) and tan theta =(1)/(sqrt(3)), AA n in l, then mo...

    Text Solution

    |

  14. The function sin x + cos x is maximum, when x is equal to

    Text Solution

    |

  15. Principal value of sin^(-1). (-(sqrt(3))/(2))is

    Text Solution

    |

  16. If angles A,B and C are in AP, then (a+c)/(b) is equal to

    Text Solution

    |

  17. (1+cos.(pi)/(8))(1+cos.(3pi)/(8))(1+cos.(5pi)/(8))(1+cos.(7pi)/(8)) is...

    Text Solution

    |

  18. The solution of the equation sectheta-cosectheta=(4)/(3) is

    Text Solution

    |

  19. What is the minimum value of 9 tan ^(2) theta + 4 cot ^(2) theta ?

    Text Solution

    |

  20. If a le sin^(-1) x+cos^(-1)x+tan^(-1) x le b, then

    Text Solution

    |

  21. If sin^(-1)x+sin^(-1) y=(2pi)/3 and cos^(-1)x-cos^(-1) y= pi/3 ," then...

    Text Solution

    |