Home
Class 12
MATHS
If u = sqrt( a^2cos^2 theta +b^2 sin ...

If ` u = sqrt( a^2cos^2 theta +b^2 sin ^2 theta ) + sqrt( a^2 sin^2 theta +b^2 cos^2 theta )`
then the difference between the maximum and manimum values of ` u^2 is given by

A

`(a+b)^2`

B

`2 sqrt(a^2 +b^2)`

C

`2(a^2 +b^2)`

D

`(a-b)^2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|44 Videos

  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION|2 Videos

Similar Questions

Explore conceptually related problems

Solve 3sin^2 theta -cos^2 theta=0

Solve sin^(2) theta gt cos^(2) theta .

Solve sin 2 theta+cos theta=0 .

Solve 7cos^2theta+3sin^2theta=4

Prove that sin^(4) theta + cos^(4) theta = 1 - 2 sin^2 theta cos^(2) theta

Solve sin^(2) theta-2 cos theta+1/4=0

If a cos theta - b sin theta = c, show that a sin theta + b cos theta = pm sqrt(a^(2) + b^(2) - c^(2))

Solve 7 cos^(2) theta+3 sin^(2) theta=4 .

If sin theta + cos theta theta = sqrt(2) cos theta then cos theta - sin theta is

NEW JOYTHI PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. Let theta in [ 0, pi/2] which one of the following is true ?

    Text Solution

    |

  2. The value of tan (1^@ ) + tan (89 ^@ ) is equal to

    Text Solution

    |

  3. Let Sn = cos ((n pi )/( 10)) , n = 1,2,3,…… then the value of ( s...

    Text Solution

    |

  4. If sin theta + cosec theta =2 ,then the value of sin ^6 thet...

    Text Solution

    |

  5. If 0 lt x lt pi then ( sin 8x + 7 sin 6x + 18 sin 4x ...

    Text Solution

    |

  6. the number of solution of tanx + sec x = 2 cos x "in " [0,2 pi] ...

    Text Solution

    |

  7. In a triangle with sides a,b,c,r1 gt r2 gt r3 ( which are the ex...

    Text Solution

    |

  8. the sum of the radii of inscribed and circumscribed circules for...

    Text Solution

    |

  9. IF in triangle ABC a cos ^2 ((C )/(2 )) c cos ^2 ((A) /(2...

    Text Solution

    |

  10. Let alpha , beta be such pi lt alpha- beta lt 3 pi if sin...

    Text Solution

    |

  11. If u = sqrt( a^2cos^2 theta +b^2 sin ^2 theta ) + sqrt( a^2 sin^2 ...

    Text Solution

    |

  12. The sides of a triangle are sin alpha , cos alpha and sqrt( 1...

    Text Solution

    |

  13. A person standing on the bank of a river observes that the angl...

    Text Solution

    |

  14. In a triangle PQR " if " angle R = (pi)/(2) if tan (P/2)and tan...

    Text Solution

    |

  15. in a triangle ABC , let angle C = (pi)/(2) if r the in radiu...

    Text Solution

    |

  16. IF in a Delta ABC , the altitudes from the vertices A,B,C on o...

    Text Solution

    |

  17. The number of value of x in the interval [0,3pi] satisfying the ...

    Text Solution

    |

  18. If 0 lt x ltpi and cos x + sin x = 1/2 , then tan x is

    Text Solution

    |

  19. A tower stands at the centre of a circular park .A and B are ...

    Text Solution

    |

  20. AB is a vertical pole with B at the ground level and A at th...

    Text Solution

    |