Home
Class 11
MATHS
The smallest positive x satisfying logsi...

The smallest positive x satisfying `log_sin x cos x+log_(cos x) (sin x)=2`, when `x in (0,pi/2)`, is

A

`pi/4`

B

`pi/3`

C

`pi/6`

D

`.pi/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

sin 2x + cos x =0

The smallest positive x satisfying the equation (log)_(cosx)sinx+(log)_(sinx)cosx=2 is

(sin 3x + sin x ) sin x + (cos 3x - cos x) cos x =0

Solve the equation (sin x + cos x)^(1 + sin2x) = 2 , when -pi le x le pi .

Let alpha=pi/3 , then the solution set of the inequality log_(sinalpha)(2-cos^2x)lt log_(sinalpha)(1-sinx) , where x in (0,2x) and x ne pi/2 , is

Find cos 2x if sin x=1/sqrt2 where 0 le x le pi/2

Find cos 2x if sin x=sqrt3/2 where 0 le x le pi/2

the least positive value of x satisfying ( sin^(2) 2x + 4 sin^(4) x - 4 sin^(2) x cos^(2) x )/( 4-sin^(2) 2x- 4 sin^(2) x) = 1/9 is

(sin x - sin 3x)/( sin ^(2) x - cos ^(2) x) = 2 sin x

Prove that sin 5 x cos 2x + cos 6 x sin 3 x = sin 8x cos x

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. The number of real solution to the equation -x^2+x-1=sin^(2)x

    Text Solution

    |

  2. If 1,2,3 and 4 are the roots of the equation x^4+ax^3+bx^2+cx+d=0 then...

    Text Solution

    |

  3. The smallest positive x satisfying logsin x cos x+log(cos x) (sin x)=2...

    Text Solution

    |

  4. The set of values of 'a' for which x^2-ax+sin^-1(sin4)gt0 forallx in R...

    Text Solution

    |

  5. If (a^3(x-b)(x-c)(x-d))/((a-b)(a-c)(a-d))+(b^3(x-c)(x-d)(x-a))/((b-c)(...

    Text Solution

    |

  6. Let f(x)=x^3+3x^2+6x+2sinx, then the equation 1/(x-f(1))+2/(x-f(2))+3/...

    Text Solution

    |

  7. Integral value of x for, which (5x-1)lt(x+1)^2lt7x-3

    Text Solution

    |

  8. If exp{(sin^2 x+sin^4 x+sin^6 x+...)In2} satisfies the quadratic equat...

    Text Solution

    |

  9. The number of values of the triple (a,b,c) for which a coss 2x+bsin^2 ...

    Text Solution

    |

  10. The sum of the real roots of the equationabs(x)^2+absx-6=0 is

    Text Solution

    |

  11. If blt0, then the roots x1 and x2 of the equation 2x^2+6x+b=0, satisfy...

    Text Solution

    |

  12. If (2x^2-3x+1)(2x^2+5x+1)=9x^2,then equation has

    Text Solution

    |

  13. Ifalpha,beta are the roots of x^2+px+q=0 and also of x^(2n)+p^n x^n+q^...

    Text Solution

    |

  14. If 3^x.8^(x/(x+2))=6, then x equals.

    Text Solution

    |

  15. Value (s) of 'a' for which ax^2+(a-3)x+1lt0 for at least one positive ...

    Text Solution

    |

  16. Number of solution of abs(x^2+4x+3) + 2x+5=0 is/are

    Text Solution

    |

  17. If roots of x^2-(a-3)x+a=0 are such that both of them is greater than ...

    Text Solution

    |

  18. solve the inequality(16)^(1//x)/((2^(x+3)))gt1

    Text Solution

    |

  19. Let alpha,beta be the roots of the equation (x-a)(x-b)=c, c≠ 0. Then t...

    Text Solution

    |

  20. If p and q are odd integers,then the equation x^2+2px+2q=0

    Text Solution

    |