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

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

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 RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUSTIONS FROM AIEEE/JEE EXAMINATIONS|8 Videos

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|10 Videos

  • UNIT TEST PAPER NO - 4

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|25 Videos

Similar Questions

Explore conceptually related problems

If 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 the maximum and minimum values of u^(2) is given by :

cos^(2)theta+sin^(2)theta is:

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

Solve 7 cos^(2) theta+3 sin^(2) theta=4 .

sin ^(6) theta+cos ^(6) theta+3 sin ^(2) theta . cos ^(2) theta=

Show that: (a) (1-sin^(2)theta)sec^(2)theta=1 (b) (1+tan^(2)theta)cos^(2)theta=1

If tan theta = 3/4, cos^(2) theta - sin^(2) theta = _______

int (cos theta - sin theta)/(sqrt(sin 2 theta) ) d theta=

sin^(6)theta+cos^(6)theta=1-3sin^(2)thetacos^(2)theta

sin^(6)theta=cos^(6)theta=1-3sin^(2)thetacos^(2)theta

MODERN PUBLICATION-TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS-MULTIPLE CHOICE QUESTION(LEVEL-II)
  1. If 1/6 sin theta,cos theta and tan theta are in G.P., then the general...

    Text Solution

    |

  2. The most general values of x for which sinx + cosx = underset (a in R)...

    Text Solution

    |

  3. Let [x] = the greatest integer less than or equal to x and let f(x) = ...

    Text Solution

    |

  4. The number of all possible 5-tuples alpha, alpha(2), alpha(3), alpha(4...

    Text Solution

    |

  5. The solution of |cosx| = cosx - 2sinx is :

    Text Solution

    |

  6. The equation 8cosx cos2x cos4x = (sin6x)/(sinx) has a solution given b...

    Text Solution

    |

  7. The value of theta lying in (0,pi/2) and satisfying : |(1 + sin^(2)th...

    Text Solution

    |

  8. If x + y + z = pi,tanx tany = 2tanx + tany + tanz = 6, thenz equals :

    Text Solution

    |

  9. Let f(theta) =sin theta(sin theta + sin3theta) then f(theta) :

    Text Solution

    |

  10. The number of integer values of k for which the equation 7cosx + 5sinx...

    Text Solution

    |

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

    Text Solution

    |

  12. Let alpha, beta be such that pi lt=alpha lt=beta lt=3piif sinalpha + s...

    Text Solution

    |

  13. If 0ltxltpi and cosx + sinx = 1//2, then tanx is :

    Text Solution

    |

  14. The number of solutions of the equation cos (pisqrt(x - 4))cos[pisqrt(...

    Text Solution

    |

  15. The maximum value of : (cosalpha(1)).(cosalpha(2))....(cosalpha(n)) un...

    Text Solution

    |

  16. If 0ltthetalt2pi, then the intervals of values of theta for which 2sin...

    Text Solution

    |

  17. Let theta in (0,pi/4) and t(1) = (tan theta)^(tantheta) and t(2) = (ta...

    Text Solution

    |

  18. The number of solutions of the paires of equations : 2sin^(2)theta - c...

    Text Solution

    |

  19. Let A and B denote the statement : A : cosalpha + cosbeta + cosgamma =...

    Text Solution

    |

  20. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1)) ...

    Text Solution

    |