Home
Class 11
MATHS
If u=sqrt(a^2 cos^2 theta + b^2sin^2thet...

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

A

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

B

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

C

`(a+b)^2`

D

`(a-b)^2`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

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

Prove that : cos2 theta= cos^2 theta-sin^2 theta=1-2 sin^2 theta= 2 cos^2 theta-1 .

The Ieast value of 2sin^2theta + 3 cos^2 theta is

Prove that : cos theta- sin theta= sqrt2 cos (theta+ pi/4) .

Solve sqrt(3) cos theta-3 sin theta =4 sin 2 theta cos 3 theta .

Prove that sin^4theta-cos^4theta=sin^2theta-cos^2theta .

IF sintheta+sin^2theta=1 prove that cos^2theta+cos^4theta=1 .

Prove that : sin 2 theta= 2sin theta cos theta .

Prove that : (1+sin 2 theta-cos 2 theta)/(1+sin 2 theta+ cos 2 theta)= tan theta .

If tan theta =a/b , prove that a sin 2 theta+b cos 2 theta=b .

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If in a triangle, a cos ^(2)""C/2+c cos ^(2)""A/2=(3b)/(2), then its s...

    Text Solution

    |

  2. The angles of a triangle are in the ratio 4: 1: 1, then the ratio of t...

    Text Solution

    |

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

    Text Solution

    |

  4. If alpha, beta be such that pi < alpha- beta < 3 pi. If sin alpha +sin...

    Text Solution

    |

  5. If theta and phi are acute angles, sin theta=1/2, cos phi= 1/3, then t...

    Text Solution

    |

  6. The sides of a triangle, sin alpha, cos alpha and sqrt(1+ sin alpha co...

    Text Solution

    |

  7. If the angle opf a triangle are in the ratio 1:2:3, then show that the...

    Text Solution

    |

  8. If in Delta ABC, the altitudes from the vertices A, B and C on opposit...

    Text Solution

    |

  9. if cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [...

    Text Solution

    |

  10. The number of solutions of the pair of equations: 2 sin^2 theta- cos 2...

    Text Solution

    |

  11. If p and q are positive real numbers such that p^2+ q^2=1, then the m...

    Text Solution

    |

  12. If sin^-1(x/5) + cosec^-1(5/4)= pi/2, then a value of x is

    Text Solution

    |

  13. AB is a vertical pole with B at the ground level and A at the top. A m...

    Text Solution

    |

  14. For 0 lt theta lt pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+(...

    Text Solution

    |

  15. If (sin^(4)x)/(2)+(cos^(4)x)/(3)=1/5, then

    Text Solution

    |

  16. Let A and B denote the statements A : cos alpha + cos beta + cos gam...

    Text Solution

    |

  17. For a regular polygon, let r and R be the radii of the inscribed and t...

    Text Solution

    |

  18. If the angles A, B and C of a triangle are in an arithmetic progressio...

    Text Solution

    |

  19. Let ABC be a triangle such that angle ABC =pi/6. If a, b and c denote ...

    Text Solution

    |

  20. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

    Text Solution

    |