Home
Class 12
MATHS
If a,b,c are positive constants such tha...

If a,b,c are positive constants such that `agtb` then the maximum value of `r^2` , given by `c^4/r^2=a^2/(sin^2theta)+b^2/(cos^2theta)` , must be

A

`c^(2)/|a-b|`

B

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

C

`c^(2)/sin^(2)theta`

D

`c^(2)/sqrtab`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Assignment Objective (level-2)|20 Videos
  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Comprehension|8 Videos
  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Assignment subjective (level -2)|15 Videos
  • AREA

    FIITJEE|Exercise Numerical Based|3 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are positive constants such that agtb then the maximum value of r , given by c^4/r^2=a^2/(sin^2theta)+b^2/(cos^2theta) , must be

The minimum value of r(>0) where r^(2)=(a^(2))/(cos^(2)theta)+(b^(2))/(sin^(2)theta)(a>b>0) is

a sin^(2)theta+b cos^(2)theta=c then sec^(2)theta=

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

If vec a and vec b are unit vectos inclined at an angle theta then the value of |vec a-vec b| is 2(sin theta)/(2) b.2sin theta c.2(cos theta)/(2) d.2 cos

If agt0,bgt0 and the minimum value of a sin^(2)theta+b cosec^(2)theta is equal to maximum value of a sin^(2)theta+b cos^(2)theta, then (a)/(b) is equal to

The minimum value of {(r+5 -4|cos theta|)^(2) +(r-3|sin theta|)^(2)} AA r, theta in R is

Minimum value of a^2cos e c^2theta+b^2sec^2theta is (where a b >0 )

Maximum value of the expression cos theta- sin^(2)theta-2,theta in R ,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

FIITJEE-APPLICATION OF DERIVATIVE-Assignment Objective (level-1)
  1. If f(x) = x^(3) + bx^(2) + cx +d and 0lt b^(2) lt c.then in (-infty, i...

    Text Solution

    |

  2. If f(x) = 1+ x/(1!) + x^(2)/(2!)+ x^(3)/(3!) + ------ + x^(n)/(n!) the...

    Text Solution

    |

  3. If a,b,c are positive constants such that agtb then the maximum value...

    Text Solution

    |

  4. If f(x) = x^(2) e^(-x^(2)/a^(2) is an increasing function then (for a ...

    Text Solution

    |

  5. Let f(x) = |x-1| + |x-2| + |x-3| + |x-4| AA x in R. Then

    Text Solution

    |

  6. Let P(x) be a polynomial of degree n with real coefficients and is non...

    Text Solution

    |

  7. Let p = 144 ^(sin^(2)x) + 144^( cos^(2)x), then the number of integra...

    Text Solution

    |

  8. Cosine of the angle of intersection of curves y = 3^(x-1) logx and y= ...

    Text Solution

    |

  9. The equation of curve passing through (1,1) in which the subtangent is...

    Text Solution

    |

  10. In the interval [0,1], the function x^(25)(1-x)^(75) takes its maximum...

    Text Solution

    |

  11. f:R rarr R,f(x) is differentiable such that ff((x))=k(x^(5)+x).(kne0) ...

    Text Solution

    |

  12. f:R rarr R,f(x) is differentiable such that f(x)=k(x^(5)+x).(kne0) The...

    Text Solution

    |

  13. If g(x) is a curve which is obtained by the reflection of f(x) = (e^x...

    Text Solution

    |

  14. If the curves x^(2)/a^(2)+ y^(2)/4 = 1 and y^(3) = 16x intersect at r...

    Text Solution

    |

  15. If f(x) = {{:( 3x ^(2) + 12 x - 1",", - 1 le x le 2), (37- x",", 2 lt...

    Text Solution

    |

  16. The function in which Rolle's theorem is verified is:

    Text Solution

    |

  17. f(x)={:{(max g(t), 0let le x , 0le x lepi/2),(min g(t) , xlet lt 0, -p...

    Text Solution

    |

  18. If f''(x)+f'(x)+f^(2)(x)=x^(2) be the differentiable equation of a cur...

    Text Solution

    |

  19. The maximum value of the function f(x)=((1+x)^(0. 6))/(1+x^(0. 6)) in ...

    Text Solution

    |

  20. A is a set containing n(1) elements and B is another set containing n(...

    Text Solution

    |