Home
Class 12
MATHS
If 2y=(cot^(-1)((sqrt3 cos x + sin x)/(c...

If `2y=(cot^(-1)((sqrt3 cos x + sin x)/(cos x - sqrt3 sin x)))^(2) , x in (0, pi/2) " then " (dy)/(dx) ` is equal to

A

`( pi)/( 6) -x `

B

`2x - ( pi)/( 3)`

C

` x - ( pi)/( 6)`

D

`(pi)/( 3) - x `

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 8

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • MATRICES AND DETERMINANTS TEST

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

2y=(cot^(-1)((sqrt(3)cos x+sin x)/(cos x-sqrt(3)sin x)))^(2),x in(0,(pi)/(2))

Let 2y={(cot^(-1)(sqrt(3)cos x-sin x))/(cos x+sqrt(3)sin x))^(2) then (dy)/(dx) is equal to (A) x-(pi)/(6)(B)x+(pi)/(6)(C)2x-(pi)/(6)(D)2x-(pi)/(3)])

If y= cos ^(-1)((sqrt 3cos x+ sin x )/( 2 )) ,then (dy)/(dx) =

If y = cos^(-1) ((2cos x - 3 sin x)/(sqrt(13))), " then" (dy)/(dx) is equal to

If y=cot^(-1)[(sqrt(1+sin x)+sqrt(1-sin x))/(sqrt(1+sin x)-sqrt(1-sin x))](0

If y=cos ^(-1) ((3cos x-2sin x )/( sqrt(13))),then (dy)/(dx)=

y=sqrt(sin +cos x+sqrt(sinx+ cos x +sqrt(sin x +cos x +....oo))) " then find " dy/dx

If y = sqrt((cos x - sin x)(sec 2x + 1)(cos x + sin x)) , Then (dy)/(dx) at x = (5 pi)/(6) is :

If y=sqrt(sin x+sqrt(sin x)sqrt(sin x+...........oo)), then (2y-1) (dy)/(dx) is equal to

NTA MOCK TESTS-JEE MOCK TEST 9-MATH
  1. If a + b + c >(9c)/4 and quadratic equation ax^2 + 2bx-5c = 0 has no...

    Text Solution

    |

  2. If |(a(1),b(1),c(1)),(a(2),b(2),c(2)),(a(3),b(3),c(3))| =5, then the v...

    Text Solution

    |

  3. The function f(x) = (x )/( 1+ |x|) is

    Text Solution

    |

  4. Let z!=i be any complex number such that (z-i)/(z+i) is a purely imagi...

    Text Solution

    |

  5. The domain set of the function f(x) = tan^(-1) x -cot ^(-1) x + cos ...

    Text Solution

    |

  6. The distance of the point (1, 2, 3) from the plane x+y-z=5 measured al...

    Text Solution

    |

  7. The number of rational point(s) ( a point ( a,b) is rational, if a and...

    Text Solution

    |

  8. If the integral int(5tanx)/(tanx-2)dx=x+a"ln"|sinx-2cosx|+k then a is...

    Text Solution

    |

  9. If vec( a) , vec( b) , vec( c ) are non coplanar non-zero vectors suc...

    Text Solution

    |

  10. (lim)(x->0) (log(1+x+x^2)+"log"(1-x+x^2))/(secx-cosx)=

    Text Solution

    |

  11. If |(a^2,b^2,c^2),((a+lambda)^2,(b+lambda)^2,(c+lambda)^2),((a-lambda)...

    Text Solution

    |

  12. The line 3x - 4y + 7 = 0 is rotated through an angle pi/4 in the clock...

    Text Solution

    |

  13. If 2y=(cot^(-1)((sqrt3 cos x + sin x)/(cos x - sqrt3 sin x)))^(2) , x ...

    Text Solution

    |

  14. An experiment yield 3 mutually exclusive and exhaustive events A,B, a...

    Text Solution

    |

  15. The number of four-digit numbers formed by using the digits 0,2,4,5 an...

    Text Solution

    |

  16. If the variance of the following data : 6,8,10,12,14,16,18,20,22,24 ...

    Text Solution

    |

  17. If the middle term in the binomial expansion of ((1)/(x) + x sin x )^(...

    Text Solution

    |

  18. The area enclosed between the curves y=ax^2 and x=ay^2(a > 0) is 1 sq....

    Text Solution

    |

  19. The value of [ int(-pi)^(pi) sqrt((|siny |)/(1+ tan^(2) y ) )dy] ( whe...

    Text Solution

    |

  20. Let a(1),a(2),a(3),"........."a(11) be real numbers satisfying a(1)=15...

    Text Solution

    |