Home
Class 12
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) `(a-b)^2` (b) `2sqrt(a^2+b^2)` (c) `(a+b)^2` (d) `2(a^2+b^2)`

A

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

B

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

C

`(a+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 AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|20 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|11 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 11|10 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • VECTOR ALGEBRA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

(2+sqrt(3)) sin theta +2cos theta lies between

If cos theta + sin theta =sqrt(2) cos theta prove that cos theta -sin theta =sqrt(2) sin theta

c(1+cos2theta)= (A) c 2sin^2theta (B) c2cos^2theta (C) c2tan^2theta (D) none of these

a sin^(2) theta + b cos^(2) theta =c implies tan^(2) theta =

If abs(cos theta{sin theta+sqrt(sin^2theta+sin^2alpha)})lek , then the value of k

If "cosec" theta = sqrt5 , find the value of : 2-sin^2theta - cos^2 theta

If x/a cos theta + y/b sin theta = 1 , x/a sin theta - y/b cos theta = 1 then x^2/a^2 + y^2/b^2 =

If tan theta=a/b then b cos 2theta+asin 2theta=

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

Find the maximum and minimum value of cos^(2) theta- 6 sin theta cos theta + 3 sin^(2) theta + 2 .

ARIHANT MATHS ENGLISH-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Single Option Correct Type Questions)
  1. If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alph...

    Text Solution

    |

  2. In DeltaABC, if (Sin A + SinB + SinC) (SinA + SinB - SinC) = 3SinA Sin...

    Text Solution

    |

  3. If t a nbeta=(ns inalphacosalpha)/(1-ns in^2alpha) , show that tan(alp...

    Text Solution

    |

  4. If (cos theta)/(a)=(sintheta)/(b), then (a)/(sec 2 theta)+(b)/(cosec 2...

    Text Solution

    |

  5. The graph of the function y = cos x cos (x+2) - cos^(2)(x+1) is

    Text Solution

    |

  6. If f (theta) = |sin theta| + |cos theta|, theta in R, then

    Text Solution

    |

  7. If P=cos(cos x)+sin (cos x), then the least and greatest value of P re...

    Text Solution

    |

  8. If u(n)=sin(n theta) sec^(n) theta, v(n)=cos(n theta) sec^(n) theta ,...

    Text Solution

    |

  9. If 0lex le(pi)/(3) then range of f(x)=sec((pi)/(6)-x)+sec((pi)/(6)+x) ...

    Text Solution

    |

  10. If A=sin^(8) theta + cos^(14) theta, then for all values of theta,

    Text Solution

    |

  11. Find the value of the expression 3[sin^(4)((3pi)/(2)-alpha)+sin^(4)(...

    Text Solution

    |

  12. The maximum value of the function f(x)=sin(x+pi/6)+cos(x+pi/6) in the ...

    Text Solution

    |

  13. If cot^2x=cot(x-y)(x-z),t h e ncot2x is equal to (w h e r ex!=pi/4) ....

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. If cos x-sin alpha cot beta sin x=cos alpha, then the vlaue of tan (x/...

    Text Solution

    |

  16. If cos^4 theta sec^2 alpha,1/2 and sin^4 theta cosec^2 alpha are in ...

    Text Solution

    |

  17. The maximum value of (cos alpha(1))(cos alpha(2))... ( cos alpha(n)) u...

    Text Solution

    |

  18. Find the set of values of x , which satisfy sin x * cos^(3) x gt cos x...

    Text Solution

    |

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

    Text Solution

    |

  20. For a positive integer n , let fn(theta)=(tantheta//2)(1+sectheta)(1+s...

    Text Solution

    |