Home
Class 12
MATHS
The curve y-e^(xy)+x=0 has a vertical ta...

The curve `y-e^(xy)+x=0` has a vertical tangent at the point:

A

(1,1)

B

(0,1)

C

(1,0)

D

No point

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-B( Objective Type Questions ( One option is correct ))|31 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option are correct ))|1 Videos

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|39 Videos

  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

Similar Questions

Explore conceptually related problems

x+y-ln(x+y)=2x+5 has a vertical tangent at the point (alpha,beta) then alpha+beta is equal to

Prove that the curve y=e^(|x|) cannot have a unique tangent line at the point x = 0. Find the angle between the one-sided tangents to the curve at the point x = 0.

The curve given by x+y=e^(x y) has a tangent parallel to the y-axis at the point (a) (0,1) (b) (1,0) (c) (1,1) (d) none of these

The curve given by x+y=e^(x y) has a tangent parallel to the y - axis at the point (0,1) (b) (1,0) (c) (1,1) (d) none of these

Find the point on the curve y=x^3-11 x+5 at which the tangent has the equation y=x-11

Statement I Tangent drawn at the point (0, 1) to the curve y=x^(3)-3x+1 meets the curve thrice at one point only. statement II Tangent drawn at the point (1, -1) to the curve y=x^(3)-3x+1 meets the curve at one point only.

Find a point on the curve y=x^2+x , where the tangent is parallel to the chord joining (0, 0) and (1, 2).

Find a point on the curve y=x^2+x , where the tangent is parallel to the chord joining (0,0) and (1,2).

The area bounded by the curve y=xe^(-x);xy=0 and x=c where c is the x-coordinate of the curve's inflection point, is

The equation of the tangent to the curve y=e^(-|x|) at the point where the curve cuts the line x = 1, is

AAKASH INSTITUTE ENGLISH-APPLICATION OF DERIVATIVES-Assignment SECTION-A (Competition Level Questions)
  1. The radius of cylinder of maximum volumne which can be inscribed in a...

    Text Solution

    |

  2. Let f(x)={{:(-|x-2|, ,x le 3 ),(x^(2)-2x-4,, x gt 3 ):} Then the n...

    Text Solution

    |

  3. The curve y-e^(xy)+x=0 has a vertical tangent at the point:

    Text Solution

    |

  4. Consider the function f(x)=xcosx-sinxdot Then identify the statement w...

    Text Solution

    |

  5. If x=2t-3t^(2) and y=6t^(3) then (dy)/(dx) at point (-1,6) is

    Text Solution

    |

  6. For the cubic function f(x)=2x^3+9x^2+12 x+1, which one of the followi...

    Text Solution

    |

  7. The function f is defined by f(x)=x^(p)(x-1)^(q)"for all "x inR, where...

    Text Solution

    |

  8. Let h be a twice continuosly differentiable positive function on an op...

    Text Solution

    |

  9. The least area of the circle circumscribing and right triangle of area...

    Text Solution

    |

  10. If f(x)=x(1-x)^(3) then which of following is true ?

    Text Solution

    |

  11. Discuss monotonocityt of y =f(x) which is given by x=(1)/(1+t^(2))and ...

    Text Solution

    |

  12. The point on the curve y^(2)=x where tangent makes 45^(@) angle with x...

    Text Solution

    |

  13. The radius of a right circular cylinder increases at a constant rate. ...

    Text Solution

    |

  14. Two sides of a triangle are to have lengths 'a'cm & 'b'cm. If the tria...

    Text Solution

    |

  15. The cost function at American Gadget is C(x)=x^(3)-6x^(2)+15x (x is i...

    Text Solution

    |

  16. A particle moves along the curve y=x^(3/2) in the first quadrant in su...

    Text Solution

    |

  17. Let f(x)=a x^2-b|x|, where aa n db are constants. Then at x=0,f(x) has...

    Text Solution

    |

  18. Find the point on the curve 9y^2=x^3, where the normal to the curve ma...

    Text Solution

    |

  19. The angle made by the tangent of the curve x = a (t + sint cosf), y = ...

    Text Solution

    |

  20. A cube of ice melts without changing its shape at the uniform rate o...

    Text Solution

    |