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

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

B

`(a+b)^(2)`

C

`2sqrt(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

  • COMPOUND ANGLES

    VK JAISWAL|Exercise Exercise-2 : One or More than One Answer is/are Correct|26 Videos

  • COMPOUND ANGLES

    VK JAISWAL|Exercise Exercise-3 : Comprehension Type Problems|12 Videos

  • COMPLEX NUMBERS

    VK JAISWAL|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|23 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

VK JAISWAL-COMPOUND ANGLES-Exercise-5 : Subjective Type Problems
  1. If u=sqrt(a^2cos^2theta+b^2sin^2theta)+sqrt(a^2sin^2theta+b^2cos^2thet...

    Text Solution

    |

  2. Let P=(sin80^(@)sin65^(@) sin35^(@))/(sin20^(@)+sin50^(@)+sin110^(@))...

    Text Solution

    |

  3. The value of expression (1-cot23^(@))(1-cot22^(@)) is equal to :

    Text Solution

    |

  4. If tanA and tanB the roots of the quadratic equation, 4x^(2)-7x+1=0 th...

    Text Solution

    |

  5. A(1)A(2)A(3)………A(18) is a regular 18 sided polygon. B is an external p...

    Text Solution

    |

  6. If 10sin^(4)alpha+15cos^(4)alpha=6 and the value of 9"cosec"^(4)alpha...

    Text Solution

    |

  7. The value of (1+tan\ (3pi)/8*tan\ pi/8)+(1+tan\ (5pi)/8*tan\ (3pi)/8)+...

    Text Solution

    |

  8. If alpha=pi/7 then find the value of (1/cosalpha+(2cosalpha)/(cos2alph...

    Text Solution

    |

  9. Given the for a,b,c,d in R, if a sec(200^@)- ctan(200^@)=d and b sec(...

    Text Solution

    |

  10. The expression 2"cos"(pi)/(17)*"cos"(9pi)/(17)+"cos"(7pi)/(17)+"cos"(9...

    Text Solution

    |

  11. If the expression (sin theta sin2theta+sin3theta sin60theta+sin4theta...

    Text Solution

    |

  12. Let a=sin10^(@), b =sin50^(@), c=sin70^(@)," then " 8abc((a+b)/(c ))((...

    Text Solution

    |

  13. If sin^(3)theta+sin^(3)(theta+(2pi)/(3))+sin^(3)(theta+(4pi)/(3))=a s...

    Text Solution

    |

  14. If sum(r=1)^(n)((tan 2^(r-1))/(cos2^(r )))=tanp^(n)-tan q, then find t...

    Text Solution

    |

  15. If x=sec theta-tan theta and y=cosectheta+cot theta,then Find y-x-xy...

    Text Solution

    |

  16. If cos18^(@)-sin18^(@)=sqrt(x)sin27^(@), then x=

    Text Solution

    |

  17. The value of 3(sin1-cos1)^(4)+6(sin1+cos1)^(2)+4(sin^(6)1+cos^(6)1) i...

    Text Solution

    |

  18. Q. x=a satisfy the equation 3^(sin 2x+2 cos^2 x)+3^(1-sin 2x+2 sin^ 2x...

    Text Solution

    |

  19. The minimum value of (sintheta+c o s e ctheta)^2+(costheta+sectheta)^...

    Text Solution

    |

  20. If tan20^(@)+tan40^(@)+tan80^(@)-tan60^(@)=lambda sin40^(@), then lamb...

    Text Solution

    |

  21. If K^(@) lies between 360^(@) and 540^(@) and K^(@) satisfies the equa...

    Text Solution

    |