Home
Class 12
MATHS
For the curve y=ce^(x//a) , which one of...

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

A

sub-tangent is constant

B

sub-normal varies as the square of the ordinate

C

tangent at `(x_(1),y_(1))` on the curve intersects the x-axis at a distance of `(x_(1)-a)` from the origin

D

equaltion of the normal at the point where the curve cuts `y-"axis is"cy+ax=c^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, 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

Which one of the following statement is incorrect?

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

    |