Home
Class 11
MATHS
Maximum value of 'r' such that (e^(2))/(...

Maximum value of 'r' such that `(e^(2))/(r^(2))=(a^(2))/(sin^(2)theta)+(b^(2))/(cos^(2)theta)` where c,a,b are constants is

A

`(c)/(a+b)`

B

`(c)/(a-b)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -II) (LEVEL -II)(MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS|6 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -II) (LEVEL -II) (MATRIX MATCHING TYPE QUESTIONS)|2 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (INTERGER TYPE QUESTIONS)|3 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

If A=2 sin^(2) theta - cos 2 theta , then

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

If A=sin^(2) theta + cos^(4) theta , then for all values of theta , where

Assertion (A) If the tangent and normal to the ellipse 9x^(2)+16y^(2)=144 at the point P(pi/3) on it meet the major axis in Q and R respectively, then QR=(57)/(8) . Reason (R) If the tangent and normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))= at the point P(theta) on it meet the major axis in Q and R respectively, then QR=|(a^(2)sin^(2)theta-b^(2)cos^(2)theta)/(a cos theta)| The correct answer is

If (cos^(2)theta)/(a)=(sin^(2)theta)/(b) then (cos^(4)theta)/(a)+(sin^(4)theta)/(b)=0

The maximum value of the expression (1)/( sin^(2) theta + 3 sin theta cos theta + 5cos^(2) theta) is

If (cos^(2) theta)/(a) = (sin^(2) theta)/(b) then (cos^(4) theta)/(a) + (sin^(4) theta)/(b) =

AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -II) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The greatest value of the expression P(x)=(1-x)^(5)(1+x)(1+2x)^(2)

    Text Solution

    |

  2. Let f(x) = (1+b^(2))x^(2) + 2bx + 1 and let m (b) be the minimum value...

    Text Solution

    |

  3. Maximum value of 'r' such that (e^(2))/(r^(2))=(a^(2))/(sin^(2)theta)+...

    Text Solution

    |

  4. The sum of two positive numbers is equal to a and if the sum of their...

    Text Solution

    |

  5. The sides of a rectangle are (6-x) cm and (x-3) cm . If its area is ma...

    Text Solution

    |

  6. The least length of the thread required to construct a rectangle of ar...

    Text Solution

    |

  7. The length of the rectangle of maximum area having perimeter 100 cm is

    Text Solution

    |

  8. The equation of the line through (3,4) which cuts from the first quadr...

    Text Solution

    |

  9. The maximum possible area that can be enclosed by a wire of length 20 ...

    Text Solution

    |

  10. A window is in the shape of a rectangle surmounted by a semi-circle. I...

    Text Solution

    |

  11. A wire of length 'a' is cut into two parts which are bent in the form ...

    Text Solution

    |

  12. The sum of the hypotenuse and a side of a right angled triangle is con...

    Text Solution

    |

  13. The height of the cylinder of maximum volume which can be inscribed i...

    Text Solution

    |

  14. The height of the cylinder of maximum volume which can be inscribed i...

    Text Solution

    |

  15. Height of the cylinder of maximum volume that can be inscribed in a sp...

    Text Solution

    |

  16. A closed cylinder of given volume will have least surface area when th...

    Text Solution

    |

  17. The height of the cylinder of maximum volume which can be inscribed i...

    Text Solution

    |

  18. The perimeter of a sector is given. The area is maximum when the angle...

    Text Solution

    |

  19. The height of the cone of maximum volume inscribed in a sphere of radi...

    Text Solution

    |

  20. A box of maximum volume with open top is to be made out of a square ti...

    Text Solution

    |