Home
Class 12
MATHS
The tangent drawn at the point (0,1) on ...

The tangent drawn at the point (0,1) on the curve `y = e^(2x)` meets x-axis at the point

A

(1/2, 0)

B

(-1/2,0)

C

(2,0)

D

(0,0)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

Similar Questions

Explore conceptually related problems

The tangent to the curve y = e^(2x) at the point (0,1) meets x-axis at

A point of infection of the curve y = e^(-x2) is

A point of inflection of the curve y = e^(-x^(2)) is

The point on the curve y = 6x-x^(2) where the tangent is parallel to x-axis is

The angle between the tangents to the curves y = x^(2)-5x+6 at the point (2,0) and (3,0) is

The angle between the two tangents drawn from the point (1,4) to the parabola y^(2)=12 x is

Angle between tangents drawn from the point (1,4) to the parabola y^(2)=4x is

The equation of the tangent to the curve y = x^(3)-2x+1 at the point (1,6) is

Find the point on the curve y=x^(2)-11x+5 at which the tangent is y=x-11.

HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
  1. The curve y-e^(xy)+x=0 has a vertical tangent at the point :

    Text Solution

    |

  2. If the line ax+by+c=0 is a normal to the curve xy=1, then :

    Text Solution

    |

  3. The tangent drawn at the point (0,1) on the curve y = e^(2x) meets x-a...

    Text Solution

    |

  4. An equation of the tangent to the curve y = x^(4) from the point (2,0)...

    Text Solution

    |

  5. At what point on the curve x^(3)-8a^(2)y = 0 the slope of the normal i...

    Text Solution

    |

  6. Coordinates of a point on the curve y = x log x at which the normal is...

    Text Solution

    |

  7. The distance s metres covered by a body in t seconds, is given by s = ...

    Text Solution

    |

  8. If the curve y = a^(x) and y = b^(x) intersect at angle alpha, then ta...

    Text Solution

    |

  9. If x+y= k is a normal to y^(2) = 12x, then k =

    Text Solution

    |

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

    Text Solution

    |

  11. The angle between the curves y = sinx and y = cos x is

    Text Solution

    |

  12. The angle between the curves y^(2) =x and x^(2) = y at (1,1) is

    Text Solution

    |

  13. The equation of the normal to the curve, y^(4) = ax^(3) at (a,a) is

    Text Solution

    |

  14. The line which is parallel to x-axis and crosses the curve y = sqrtx a...

    Text Solution

    |

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

    Text Solution

    |

  16. The equation of the normal to the curve y=sinx at (0, 0) is :

    Text Solution

    |

  17. x = a cos theta, y = b sin theta.

    Text Solution

    |

  18. If the line ax+by+c=0 is a normal to the curve xy=1, then :

    Text Solution

    |

  19. For the curve x = t^(2)-1, y = t^(2)-t the tangent line is perpendicul...

    Text Solution

    |

  20. The line (x)/(a)+(y)/(b)=1 touches the curves y= be^(-x//a) at the poi...

    Text Solution

    |