Home
Class 12
MATHS
The minimum value of a^2sec^2x+b^2cosec^...

The minimum value of `a^2sec^2x+b^2cosec^2x,0ltaltb`,is

A

a+b

B

`(a+b)^2`

C

`(a+b)^4`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|161 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

The minimum value of a sec x+b cos ecx,0

If 0ltxlt(pi)/(2) , then the minimum value of (sinx+cosx+cosec2x) ,is

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

Let P be minimum value of 9sin^2x+16cosec^2x and S be the minimum value of 16sin^2x+9cosec^2x then the value of (P+S)/2 is

If 0ltxlt(pi)/(2) , then the minimum value of 2(sinx+cosx+cosec 2x)^3 is

The minimum value of atan^2x+bcot^2x equals the maximum value of asin^2theta+bcos^2theta where a > b > 0. The a/b is 2 (b) 4 (c) 6 (d) 8

Minimum value of y=sec^(2)2x+cot^(2)2x equals,

The minimum value of a^(cos^(2)x)+a^(sin^(2)x)AA(a>0) is

Find the minimum value of (sec^(-1) x)^(2) + (cosec^(-1) x)^(2)

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-EVALUATION TEST
  1. If 27a+9b+3c+d=0 then the equation 4ax^(3)-3bx^(2)+2cx+0 has at leat ...

    Text Solution

    |

  2. If the curve y=x^(2)+bx +c touches the line y = x at the point (1,1),...

    Text Solution

    |

  3. A tangent to the parabola y^2=8x makes an angle of 45^0 with the strai...

    Text Solution

    |

  4. The greatest value of the function f(x)=tan^(- 1)x-1/2logx in [1/(sqrt...

    Text Solution

    |

  5. IF alpha+beta=pi/2, then cosalpha cos beta has a maximum value at beta...

    Text Solution

    |

  6. Prove that the segment of the tangent to the hyperbola y = (c )/(x) w...

    Text Solution

    |

  7. If 2a+3b+6c=0, then prove that at least one root of the equation a x^2...

    Text Solution

    |

  8. The maximum value of f(x)=sinx(1+cosx) is

    Text Solution

    |

  9. The minimum value of f(x)=sin^4x+cos^4x,0lexlepi/2 is

    Text Solution

    |

  10. The minimum value of 2^(x^2-3)^(3+27) is 2^(27) (b) 2 (c) 1 (d) ...

    Text Solution

    |

  11. If the function f(x)=3 cos |x| -6 ax +b increases for all x in R then ...

    Text Solution

    |

  12. The minimum value of a^2sec^2x+b^2cosec^2x,0ltaltb,is

    Text Solution

    |

  13. The function y=(ax+b)/(x-1)(x-4) has turning point at P(2,-1) Then fin...

    Text Solution

    |

  14. if 0ltalphaltbetaltpi/2 , then

    Text Solution

    |

  15. The two curves y=3^x and y=5^xintersect at an angle

    Text Solution

    |

  16. If alpha and beta (alpha lt beta) are two different real rootsof the e...

    Text Solution

    |

  17. The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in

    Text Solution

    |

  18. If the function f(x)=x^3-12ax^2+36a^2x-4(agt0) attains its maximum a...

    Text Solution

    |

  19. Verify Rolle's theorem for each of the following functions : f(x) = ...

    Text Solution

    |

  20. The abscissa of the point on the curve ay^2 = x^3, the normal at whic...

    Text Solution

    |