Home
Class 12
MATHS
If a+b = 3- cos 4 theta and a-b =4 sin 2...

If `a+b = 3- cos 4 theta` and `a-b =4 sin 2theta`, then ab is always less than or equal to

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|13 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|24 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|2 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

If a+b=3-cos4 theta and a-b=4sin2 theta then ab is always less than or equal to

If a+b=3-cos4 theta and a-b=4sin2 theta then (ab) is always less than equal

If a cos theta - b sin theta =c, " then" a sin theta + b cos theta is equal to

If 3cos theta+4cos theta=5 then 4sin theta-3cos theta is equal to

If cos theta =4/5 then sin^2 theta cos theta + cos^2 theta sin theta is equal to :

If 3 sin theta + 4 cos theta = 5 , then 3 cos theta - 4 sin theta is equal to?

If sin theta - cos theta = 0 , then what is sin^4 theta + cos^4 theta equal to ?

ARIHANT MATHS-FUNCTIONS-Exercise (Single Integer Answer Type Questions)
  1. Let f(x) denotes the number of zeroes in f'(x). If f(m)-f(n)=3, the va...

    Text Solution

    |

  2. If x^2+y x^2=4 then find the xamimum value of (x^3+y^3)/(x+y)

    Text Solution

    |

  3. Let f(n) denotes the square of the sum of the digits of natural numbe...

    Text Solution

    |

  4. If [sinx]+[x/(2pi)]+[(2x)/(5pi)]=(9x)/(10pi), where [*] denotes the gr...

    Text Solution

    |

  5. The number of integral solutions of 1/x+1/y=1/6 " with " x le y " is "...

    Text Solution

    |

  6. If f(x) is a polynominal of degree 4 with leading coefficient '1' sati...

    Text Solution

    |

  7. If a+b = 3- cos 4 theta and a-b =4 sin 2theta, then ab is always less ...

    Text Solution

    |

  8. Let 'n' be the number of elements in the domain set of the function f(...

    Text Solution

    |

  9. If f(x) is a function such that f(x-1)+f(x+1)=sqrt(3)f(x) and f(5)=10,...

    Text Solution

    |

  10. If 2f(x)=f(x y)+f(x/y) for all positive values of x and y,f(1)=0 and f...

    Text Solution

    |

  11. Let f be a function from the set of positive integers to the set of re...

    Text Solution

    |

  12. If f(x)=(x^(4)+x^(2)+1)/(x^(2)-x+1), the value of f(omega^(n)) (where ...

    Text Solution

    |

  13. If f^2(x)*f((1-x)/(1+x))=x^3, [x!=-1,1 and f(x)!=0], then find |[f(-2)...

    Text Solution

    |

  14. An odd function is symmetric about the vertical line x=a ,(a >0),a n d...

    Text Solution

    |

  15. L e t(e^x-e^(-x))/(e^x+e^(-x))=lnsqrt((1+x)/(1-x)),then find x.

    Text Solution

    |

  16. If x is real , the maximum value of (3x^2+9x+17)/(3x^2+9x+7)"i s"

    Text Solution

    |

  17. If f(x) satisfies the relation f(x)+f(x+4)=f(x+2)+f(x+6) for allx , th...

    Text Solution

    |

  18. 83. A non-zero function f (x) is symmetrical about the line y=x then t...

    Text Solution

    |

  19. Let f:R rarr R and f(x)=(3x^(2)+mx+n)/(x^(2)+1). If the range of this ...

    Text Solution

    |

  20. Let f(x)be a monotic ploynomial of degree (2m-1) where m in N Then the...

    Text Solution

    |