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

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`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    ALLEN|Exercise All Questions|86 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

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 x=a cos theta + b sin theta and y=a sin theta - b cos theta. then a ^(2) +b^(2) is equal to

If (a^2 -b^2) sin theta + 1ab cos theta = a^2 +b^2 , then find tan theta .

If tan theta =(a)/(b) prove that a sin 2theta + b cos 2theta =b

If tan theta=b, then cos2 theta+b sin2 theta=

If a cos theta+b sin theta=3 and a sin theta-b cos theta=4 then a^(2)+b^(2) has the value

ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
  1. If t a ntheta=\ -4/3 then s intheta is- -4/5\ b u t\ not4/5 b. -4/5or4...

    Text Solution

    |

  2. sec^2theta=(4x y)/((x+y)^2) is true if and only if x+y!=0 (b) x=y ,x!...

    Text Solution

    |

  3. If u=a^2cos^2theta+b^2sin^2theta+a^2sin^2theta+b^2cos^2theta then the ...

    Text Solution

    |

  4. piltalpha-betalt3pi,sinalpha+sinbeta=-21/65,cosalpha+cosbeta="-27/65,t...

    Text Solution

    |

  5. If 0ltxltpi and cosx + sinx =1/2 , then tanx is (1) ...

    Text Solution

    |

  6. Let cos(alpha+beta)""=4/5 and let s in(alphabeta)""=5/(13) where 0lt=a...

    Text Solution

    |

  7. If A""=""s in^2x""+""cos^4x , then for all real x : (1) 3/4lt=Alt=1...

    Text Solution

    |

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

    Text Solution

    |

  9. The expression (t a n A)/(1-cot A)+(cot A)/(1-t a n A) can be written ...

    Text Solution

    |

  10. Let fK(x)""=1/k(s in^k x+cos^k x) where x in R and kgeq1 . Then f4(x)...

    Text Solution

    |

  11. If m and M are the minimum and the maximum values of 4+1/2 sin^2 2x-2c...

    Text Solution

    |

  12. If A >0,\ B >0\ a n d\ A+B=\ pi/6 , then the minimum value of t a n A+...

    Text Solution

    |

  13. Given both thetaa n dvarphi are acute angles and sinalphabetagamma=1/2...

    Text Solution

    |

  14. In an equilateral triangle 3 coins of radii 1 unit each are kept so...

    Text Solution

    |

  15. t1 = (sintheta)^costheta ,t2 = (sintheta)^sintheta , t3 = (costheta)^c...

    Text Solution

    |

  16. If (sin^4x)/2+(cos^4x)/3=1/5t h e n tan^2x=2/3 (b) (sin^8x)/8+(cos^...

    Text Solution

    |

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

    Text Solution

    |

  18. The maximum value of the expression 1/(sin^2 theta + 3 sin theta cos t...

    Text Solution

    |

  19. Two parallel chords of a circle of radius 2 are at a distance sqrt3 + ...

    Text Solution

    |

  20. Let P={theta: s intheta-costheta=sqrt(2)costheta}a n d\ Q={theta: s in...

    Text Solution

    |