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

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

A

`(a+b)^(2)`

B

`2sqrt(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

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|32 Videos
  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos
  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

Similar Questions

Explore conceptually related problems

u=sqrt(a^(2)cos^(2)theta+b^(2)sin^(2)theta)+sqrt(a^(2)sin^(2)theta+b^(2)cos^(2)theta) then the difference between maximum and minimum values of u^(2) is

If u=a^2cos^2theta+b^2sin^2theta+a^2sin^2theta+b^2cos^2theta then the difference between the maximum and minimum values of u^2 is given by- (a^2+b^2) b. 2sqrt(a^2+b^2) c. (a+b)^2 d. (a-b)^2

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

If cos theta+cos^(2)theta=1 then sin^(2)theta+2sin^(2)theta+sin^(2)theta=

Simplify sqrt(1- sin^2theta ) + (1 cos^2theta)

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

2(cos theta+cos2 theta)+(1+2cos theta)sin2 theta=2sin theta

Show that the maximum and minimum values of sqrt(a^(2)cos^(2)theta + b^(2)sin^(2) theta) + sqrt(a^(2)sin^(2)theta + b^(2)cos^(2)theta) are sqrt(2(a^(2) +b^(2)) and a + b respectively.

MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -Questions from Previous Years. AIEEE/JEE Main Papers
  1. The number of solutions of tan x +secx+2cosx in [0, 2pi] is

    Text Solution

    |

  2. Let alpha, beta be such that pi lt alpha-beta lt 3pi. If sin alpha+sin...

    Text Solution

    |

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

    Text Solution

    |

  4. If f:R to S is defined by f(x)=sin x-sqrt(3)cosx+1 is onto, then the i...

    Text Solution

    |

  5. The number of values of x iin the interval [0, 3pi] satisfying the equ...

    Text Solution

    |

  6. If the roots of the quadratic quation x^(2)+px+q=0 are tan30^(@) and ...

    Text Solution

    |

  7. If 0 lt x lt pi, and cosx+sinx=1//2, then tan x is

    Text Solution

    |

  8. Let A and B denote the statements A: cos alpha + cos beta + cos gamm...

    Text Solution

    |

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

    Text Solution

    |

  10. Let cos(alpha+beta)=4//5 and let sin(alpha-beta)=5//13 where 0 le alph...

    Text Solution

    |

  11. If A=sin^(2)x +cos^(4)x, then for all real x

    Text Solution

    |

  12. The possible values of theta in (0, pi) such that sin(theta)+sin(4thet...

    Text Solution

    |

  13. In a DeltaPQR, if 3sinP+4cosQ=6 and 4sinQ+3cosP=1, then the angle R i...

    Text Solution

    |

  14. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  15. The expression (tanA)/(1-cotA)+(cotA)/(1-tanA) can be written as

    Text Solution

    |

  16. The number of solutions of the equation sin2x-2cosx+4sinx=4 in the int...

    Text Solution

    |

  17. Let f(k)(x)=(1//k)(sin^(k)x+cos^(k)x) where x in R and k ge 1. Then f(...

    Text Solution

    |

  18. The number of values of alpha in [0, 2pi] for which 2sin^(3)alpha-7sin...

    Text Solution

    |

  19. If "cosec" theta=(p+q)/(p-q)(p pi q pi 0), then |cot((pi)/(4)+(theta)/...

    Text Solution

    |

  20. If 2cos theta+sin theta=1, (theta pi pi//2), then 7cos theta+6 sin the...

    Text Solution

    |