Home
Class 12
MATHS
If m and M are the minimum and the maxim...

If m and M are the minimum and the maximum values of `4+1/2 sin^2 2x-2cos^4x, x in R` then

A

`(9)/(4)`

B

`(15)/(4)`

C

`(7)/(4)`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Question for Previous Year.s B-Architecture Entrance Examination Papers|27 Videos

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( NUMERICAL ANSWER TYPE QUESTIONS)|17 Videos

  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

If m and M are the minimum and the maximum values of 4+(1)/(2)sin^(2)2x-2cos^(4)x,x in R then

Find the minimum and maximum values of 3cos x+4sin x

Find the minimum and maximum values of sin2x-cos2x

The minimum and maximum values of 1-8sin^(2)x cos^(2)x are

Find the minimum and maximum value of sin^(4)x+cos^(2) x where x in R

Find the maximum and minimum value of 3 sin 2x+4 cos 2x+3 .

If M and m are the maximum and minimum value of the expression cos^2 x-cosx+5/4 for x in [pi/2,(3pi)/2] then (m+M) equals

Find the minimum value of 4^(sin^(2)x)+4^(cos^(2)x)

Find the maximum and minimum value of sin^(2)x+4cos2x, for x in R

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Question for Previous Year.s AIEEE/JEE Main Paper
  1. Tangents are drawn to x^2+y^2=16 from the point P(0, h)dot These tange...

    Text Solution

    |

  2. Consider f(x)=tan^(-1)(sqrt((1+sinx)/(1-sinx))), x in (0,pi/2)dot A n...

    Text Solution

    |

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

    Text Solution

    |

  4. If the tangent at a point P with parameter t, on the curve x=4t^2+3, y...

    Text Solution

    |

  5. Let f(x) =sin^4x+cos^4x. Then f is increasing function in the interval

    Text Solution

    |

  6. Let C be a curve given by y=1 + sqrt(4x-3), x gt (3)/(4) . If P is a p...

    Text Solution

    |

  7. The normal to the curve y(x-2)(x-3)=x+6 at the point where the curve i...

    Text Solution

    |

  8. The tangent at the point (2,-2) to the curve, x^2y^2 - 2x= 4(1-y) does...

    Text Solution

    |

  9. A tangent drawn to the curve y = f(x) at P(x, y) cuts the x and y axes...

    Text Solution

    |

  10. If a point P has co-ordinates (0, -2) and Q is any point on the circle...

    Text Solution

    |

  11. The function f defined by f(x) = x^(3) - 6x^(2) - 36 x + 7 is incr...

    Text Solution

    |

  12. Twenty metres of wire is available for fencing off a flower-bed in ...

    Text Solution

    |

  13. Let f(x) be a polynomial of degree four having extreme values at x=1 a...

    Text Solution

    |

  14. If the curves y^2=6x, 9x^2+by^2=16 intersect each other at right angle...

    Text Solution

    |

  15. If a right circular cone, having maximum volume is inscribed in a sphe...

    Text Solution

    |

  16. Let f(x)=x^2+(1/x^2) and g(x)=x-1/x xinR-{-1,0,1}. If h(x)=(f(x)/g(x)...

    Text Solution

    |

  17. if theta denotes the acute angle between the curves, y = 10-x^2" and "...

    Text Solution

    |

  18. The tangent to the curve yt=xe^(x^2) passing through the point (1,e) a...

    Text Solution

    |

  19. The tangent to the curve y=x^2-5x+5. parallel to the line 2y=4x+1, als...

    Text Solution

    |

  20. The equation of a tangent to the parabola, x^(2) = 8y, which makes an ...

    Text Solution

    |