Home
Class 12
MATHS
Points on the curve f(x)=x/(1-x^2) where...

Points on the curve `f(x)=x/(1-x^2)` where the tangent is inclined at an angle of `pi/4` to the x-axis are (0,0) (b) `(sqrt(3),-(sqrt(3))/2)` `(-2,2/3)` (d) `(-sqrt(3),(sqrt(3))/2)`

A

`(0,0)`

B

`(sqrt(3),-(sqrt3)/(2))`

C

`(-2,(2)/(3))`

D

`(sqrt3,-(sqrt3)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise (Comprehension)|13 Videos
  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise (Numerical)|19 Videos
  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise (Single)|58 Videos
  • 3D COORDINATION SYSTEM

    CENGAGE|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE|Exercise Solved Examples And Exercises|137 Videos

Similar Questions

Explore conceptually related problems

(x+sqrt(2))(x-sqrt(3))=0

(4) sqrt(3)x^(2)+2x-sqrt(3)=0

If at each point of the curve y=x^(3)-ax^(2)+x+1, the tangent is inclined at an acute angle with the positive direction of the x -axis,then a>0 (b) a<-sqrt(3)-sqrt(3)<=a<=sqrt(3)( d) none of these

2sqrt(3)x^(2)+x-5sqrt(3)=0

The point(s) on the curve y^(3)+3x^(2)=12y where the tangent is vertical,is(are) ??(+-(4)/(sqrt(3)),-2) (b) (+-sqrt((11)/(3)),1)(0,0)(d)(+-(4)/(sqrt(3)),2)

If tan^(-1)x+2cot^(-1)x=(2 pi)/(3), then x, is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3)(d)sqrt(2)

Domain of f(x)=sin^(-1)[2-4x^2], where [.] denotes the greatest integer function, is: (a)[-(sqrt(3))/2,(sqrt(3))/2]-{0} (b) [-(sqrt(3))/2,(sqrt(3))/2] (c)[-(sqrt(3))/2,(sqrt(3))/2)-{0} (d) (-(sqrt(3))/2,(sqrt(3))/2)-0

The area of the triangle formed by the positive x-axis and the normal and the tangent to the circle x^(2)+y^(2)=4 at (1,sqrt(3)) is 3sqrt(3)(b)2sqrt(3) (c) 4sqrt(3)(d)sqrt(3)

sqrt (2x) -sqrt (3y) = 0sqrt (3x) -sqrt (3y) = 0

The shortest distance between the line yx=1 and the curve x=y^(2) is (A)(3sqrt(2))/(8) (B) (2sqrt(3))/(8) (C) (3sqrt(2))/(5) (D) (sqrt(3))/(4)

CENGAGE-APPLICATION OF DERIVATIVES-Exercise (Multiple)
  1. Points on the curve f(x)=x/(1-x^2) where the tangent is inclined at an...

    Text Solution

    |

  2. For the curve y=ce^(x//a) , which one of the following is incorrect?

    Text Solution

    |

  3. Let the parabolas y=x(c-x) and y=x^2+a x+b touch each other at the poi...

    Text Solution

    |

  4. The angle formed by the positive Y-axis and the tangent to y=x^2+4x-17...

    Text Solution

    |

  5. Which of the following pair(s) of curves is/are ortogonal?

    Text Solution

    |

  6. The coordinates of the point(s) on the graph of the function f(x)=(x^3...

    Text Solution

    |

  7. The abscissa of a point on the curve x y=(a+x)^2, the normal which cut...

    Text Solution

    |

  8. The angle between the tangents at any point P and the line joining P t...

    Text Solution

    |

  9. If OT and ON are perpendiculars dropped from the origin to the tanget ...

    Text Solution

    |

  10. Let C(1):y=x^(2)sin3x,C(2):y=x^(2)and C(3):y=-y^(2), then

    Text Solution

    |

  11. If the line x cos theta+y sin theta=P is the normal to the curve (x+a)...

    Text Solution

    |

  12. Common tagent (s) to y=x^(3)and x=y^(3) is/are

    Text Solution

    |

  13. Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 h(x)={x},k(...

    Text Solution

    |

  14. Let f(x)=a5x^5+a4x^4+a3x^3+a2x^2+a1x , where ai ' s are real and f(x)=...

    Text Solution

    |

  15. Which of the following is/are correct ?

    Text Solution

    |

  16. Among the following, the function (s) on which LMVT theorem is applica...

    Text Solution

    |

  17. Let f(x) be a differentiable function and f(alpha)=f(beta)=0(alpha< be...

    Text Solution

    |