Home
Class 12
MATHS
Consider f(x) =tan^(-1)(sqrt((1+sinx)/(1...

Consider `f(x) =tan^(-1)(sqrt((1+sinx)/(1-sinx))),c in(0,(pi)/(2)).` A normal to `y=(x) at x=(pi)/(6)` also pasess through the point

A

`(0,(2pi)/3)`

B

`((pi)/6,0)`

C

`((pi)/4,0)`

D

`(0,0)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos
  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

Consider f(x)=tan^(-1)(sqrt((1+sinx)/(1-sinx))), x in (0,pi/2)dot A normal to y=f(x) at x=pi/6 also passes through the point: (1) (0, 0) (2) (0,(2pi)/3) (3) (pi/6,0) (4) (pi/4,0)

If y= tan^(-1)sqrt((1-sinx)/(1+sinx)) , then the value of (dy)/(dx) at x= (pi)/6 is.

If f (x) = tan ^(-1)sqrt((1 + sin x )/(1 - sin x)), 0 le x le (pi)/(2) then f' ((pi)/(6)) =?

tan^(-1)((cosx-sinx)/(cosx+sinx))=pi/4-x

Differentiate tan^(-1){sqrt((1+sinx)/(1-sinx))},\ -pi/2

Evaluate: inttan^(-1){sqrt(((1-sinx)/(1+sinx)))}\ dx ,\ -pi//2

Prove that : int_(0)^(pi) (x sin x)/(1+sinx) dx=pi((pi)/(2)-1)

Prove that tan^-1((cosx)/(1+sinx))=pi/4-x/2,\ x in (-pi/2,pi/2)

If 2y=(cot^(-1) ((sqrt3cosx+sinx)/(cosx-sqrt3sinx)))^2, x in (0,pi/2) then y' is equal to

Differentiate tan^(-1){(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))} , 0 < x < pi

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-JEE main (Archive)
  1. Let f(X) be a polynomila of degree four having extreme values at x =1 ...

    Text Solution

    |

  2. Let p=underset(xto0^(+))lim(1+tan^(2)sqrt(x))^((1)/(2x)). Then log(e)p...

    Text Solution

    |

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

    Text Solution

    |

  4. For x in R, f(x) =|log(e) 2-sinx| and g(x) = f(f(x)) , then

    Text Solution

    |

  5. lim(n -> oo) (((n+1)(n+2)(n+3).......2n) / n^(2n))^(1/n)is equal to

    Text Solution

    |

  6. "If for "x in (0,(1)/(4))," the derivative of "tan^(-1)((6xsqrt(x))/(1...

    Text Solution

    |

  7. underset(xto(pi)/(2))lim(cotx-cosx)/((pi-2x)^(3)) equals

    Text Solution

    |

  8. For each tinR," let "[t] be the greatest integer less than or equal to...

    Text Solution

    |

  9. Let S={t in R: f(x)=|x-pi|(e^(|x|)-1)sin|x| is not differentiable at t...

    Text Solution

    |

  10. If f : R rarr R is a function defined by f(x) = [x] cos ((2x -1)/(2))p...

    Text Solution

    |

  11. Consider the function f(x)=|x-2|+|x-5|,x in R . Statement 1: f'(4)=0 ...

    Text Solution

    |

  12. Show that the underset(xto2)lim((sqrt(1-cos{2(x-2)}))/(x-2)) doesnot e...

    Text Solution

    |

  13. (d^2 x)/(dy^2) is equal to :

    Text Solution

    |

  14. The value of p and q for which the function f(x)""={(sin(p+1)x+sinx)/x...

    Text Solution

    |

  15. If f(x) is differentiable at x=a , find (lim)(x->a)(x^2f(a)-a^2\ f(x))...

    Text Solution

    |

  16. Define f(x) as the product of two real functions f(1)(x)=x, x epsilon ...

    Text Solution

    |

  17. Let f:""(-1,""1) rarr R be a differentiable function with f(0)""=""-...

    Text Solution

    |

  18. Let f :RtoR be a positive, increasing function with underset(xtooo)l...

    Text Solution

    |

  19. Let y be an implicit function of x defined by x^(2x)-2x^(x) cot y-1=0...

    Text Solution

    |

  20. Let f(x)""=""x|x|""and""g(x)""=""sinx in x Statement 1 : gof is d...

    Text Solution

    |