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

at no point

C

(0,1)

D

(1,0)

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

Similar Questions

Explore conceptually related problems

The curve y=x^(1//5) has at (0, 0) :

The curves x = y^(2) and xy = a^(3) cut orthogonally at a point, then a^(2) =

The point on the curve y=(x-3)^(2) , where the tangent is parallel to the chord joining (3, 0) and (4, 1) is :

The point on the curve y=x^(2) , where slope of the tangent is equal to the x-coordinate of the point is :

The points on the curve y=12x-x^(3) , the tangents at which are parallel to x-axis are :

The point on the curve y^(2) = x where the tangent makes an angle (pi)/(4) with X-axis is

In which of the following cases, the function f(x) has vertical tangent at x = 0 ? f(x)=x^(2//3)

In which of the following cases, the function f(x) has vertical tangent at x = 0 ? f(x)=sqrt(|x|)

If the parametric equation of a curve is given by x = e^(t) cos t, y = e^(t) sin t , then the tangent to the curve at the point t = pi/4 makes with the x-axis of the angle.

Find a point on the curve y=(x-2)^(2) at which the tangent is parallel to the x-axis .

HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
  1. The line (x)/(a)+(y)/(b)=1 touches the curves y= be^(-x//a) at the poi...

    Text Solution

    |

  2. If m is the slope of the tangent to the curve, e^(y) =1 +x^(2), then,

    Text Solution

    |

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

    Text Solution

    |

  4. The point at which the tangent to the curve y = x^(2)-4x is parallel t...

    Text Solution

    |

  5. The curve x = y^(2) and xy = k cut at right angles if

    Text Solution

    |

  6. The angle between the tangents to the curves y = x^(2)-5x+6 at the poi...

    Text Solution

    |

  7. A particle is moving along the curve x = at^(2) + bt +c. If ac = b^(2)...

    Text Solution

    |

  8. The curve x^(n)/a^(n) + y^(n)/b^(n) = 2 touches the line, x/a + y/b = ...

    Text Solution

    |

  9. A particle moves in a straight line so that , s = sqrtt, then its acce...

    Text Solution

    |

  10. The distance travelled by a motor car in t seconds after the brakes ar...

    Text Solution

    |

  11. A stone is thrown vertically upwards and the height x ft, reached by ...

    Text Solution

    |

  12. A stone is thrown vertically upwards from the top of a tower 64 metres...

    Text Solution

    |

  13. The tangent to a given curve y=f(x) is perpendicular to the x -axis if

    Text Solution

    |

  14. A sphere increases its volume at the rate of picc//s. The rate at whic...

    Text Solution

    |

  15. The angle between y^(2)=4x and x^(2)+y^(2)=12 at a point of their inte...

    Text Solution

    |

  16. The slopes of the tangent and normal at (0, 1) for the curve y=sinx+e^...

    Text Solution

    |

  17. If for the curve y=1+bx-x^(2) the tangent at (1, -2) is parallel to x-...

    Text Solution

    |

  18. The surface area of a ball is increasing at the rate of 2 pi sq. cm/s...

    Text Solution

    |

  19. If the area of an expanding circular region increases at a constant ra...

    Text Solution

    |

  20. If f(x)=x^(alpha) logx and f(0)=0, then the value of alpha for which R...

    Text Solution

    |