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|Exercise Assignment SECTION-B( Objective Type Questions ( One option is correct ))|31 Videos
  • APPLICATION OF DERIVATIVES

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

    AAKASH INSTITUTE|Exercise TRY YOURSELF|39 Videos
  • APPLICATION OF INTEGRALS

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

Similar Questions

Explore conceptually related problems

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^(xy) has a tangent parallel to the y-axis at the point

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

The curve f(x)=x at the point with x = 0 , has 1) vertical tangent 2) horizontal tangent 3) no vertical tangent 4) none of these

Consider the curve y=e^(2x) What is the slope of the tangent to the curve at (0,1)

The curve given by x + y = e^(xy) has a tangent parallel to the y-axis at the point

The equation of the tangent to the curve y=1-e^(x//2) at the tangent to the curve y=1-e^(x//2) at the point of intersection with the y-axis, is

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

AAKASH INSTITUTE-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)= x cos x - sin x , then identify the statem...

    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(1-x)^q for all x\ in R , whe...

    Text Solution

    |

  8. Let h be a twice continuously differentiable positive function on an o...

    Text Solution

    |

  9. The least area of a circle circumscribing any right triangle of area S...

    Text Solution

    |

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

    Text Solution

    |

  11. A function y=f(x) is given by x=1/(1+t^2) and y=1/(t(1+t^2)) for all t...

    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 t...

    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)=ax^(2)-b|x| , where a and b are constant . Then at x=0 , f(x)...

    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 any tangent to the curve x=a(t+sintcost) , y=(1+sint...

    Text Solution

    |

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

    Text Solution

    |