Home
Class 12
MATHS
The maximum of 4sin^(2)x+3cos^(2)x is...

The maximum of `4sin^(2)x+3cos^(2)x` is

A

4

B

3

C

7

D

5

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2002

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS (MCQ.s)|50 Videos

  • KARNATAKA CET 2005

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|59 Videos

Similar Questions

Explore conceptually related problems

The maximum of 4 sin^(2)x + 3 cos^(2)x is

cos4x=1-8sin^(2)x cos^(2) x

The maximum value of sin x. cos x is

The value of (cos^(4)x+cos^(2)x sin^(2) x + sin^(2)x)/(cos^(2)x+ sin^(2) x cos^(2) x + sin^(4)x) is ____________

If sin x+sin ^(2) x=1 then the value of cos ^(2) x+cos ^(4) x is

Prove that cos^(2)+x+cos^(2) (x+pi/3)+cos^(2)(x-pi/3)=3/2 and hence find the values of sin^(2)x +sin^(2) (x+pi/3)+sin^(2) (x-pi/3)

Number of solutions of the equation sin^(4) x-cos^(2)x sin x + 2 sin^(2) x+sin x=0 in 0 le x le 3pi is ________.

cos 4x =1- 8 sin ^(2) x cos ^(2) x

Solve the inequality (5)/4 sin^(2) x + sin^(2) x * cos^(2)x gt cos 2x.

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2003-MATHEMATICS
  1. Prove that int(0)^(a) f(x) dx = int(0)^(a) f(a - x)dx and hence evalua...

    Text Solution

    |

  2. int(0)^(2pi)(sinx+|sinx|)dx=

    Text Solution

    |

  3. If n in N and I(n) = int (log x)^(n) dx , then I(n) + n I(n - 1) =

    Text Solution

    |

  4. The area included between the parabolas x^(2)=4y and y^(2)=4x is, (in ...

    Text Solution

    |

  5. The differential equation for which sin^(-1)x+sin^(-1)y=C is given by

    Text Solution

    |

  6. The derivative of cos^(-1)((1-x^(2))/(1+x^(2))) w.r.t. cot^(-1)((1-3x^...

    Text Solution

    |

  7. If x=a(theta-sintheta),y=a(1-costheta) then (dy)/(dx)=

    Text Solution

    |

  8. If y=1-x+(x^(2))/(2!)-(x^(3))/(3!)+(x^(4))/(4!)- . . . . then (d^(2)y)...

    Text Solution

    |

  9. The slope of the tangent to the curve x=3t^(2)+1,y=t^(3)-1 at x=1 is

    Text Solution

    |

  10. For the curve xy=c^(2) the subnormal at any point varies as

    Text Solution

    |

  11. The amplitude of "sin"(pi)/(5)+i(1-"cos"(pi)/(5)) is

    Text Solution

    |

  12. If sqrtx+(1)/(sqrt(x))=2costheta then x^(6)+x^(-6)=

    Text Solution

    |

  13. Which of the following is a fourth root of (1)/(2)+i(sqrt(3))/(2) ?

    Text Solution

    |

  14. The function f(x)=|x|+(|x|)/(x) is

    Text Solution

    |

  15. If f(a)=2,f'(a)=1,g(a)=-3,g'(a)=-1 then Lim(xtoa)(f(a)g(x)-f(x)g(a))/(...

    Text Solution

    |

  16. The maximum of 4sin^(2)x+3cos^(2)x is

    Text Solution

    |

  17. The rate of change of the surface area of a sphere of radius r when th...

    Text Solution

    |

  18. intsqrt(1+"sin"(x)/(4))dx=

    Text Solution

    |

  19. inte^(x)((1+sinx)/(1+cosx))dx=

    Text Solution

    |

  20. int(0)^(oo)(xdx)/((1+x)(1+x^(2)))=

    Text Solution

    |