Home
Class 12
MATHS
The length of the normal to the curve at...

The length of the normal to the curve at (x, y) `y=a((e^(x//a)+e^(-x//a))/2)` at any point varies as

A

x

B

`x^2`

C

y

D

`y^2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND NORMALS

    ML KHANNA|Exercise PROBLEM SET (2) (TRUE AND FALSE)|7 Videos

  • TANGENTS AND NORMALS

    ML KHANNA|Exercise PROBLEM SET (2) (FILL IN THE BLANKS)|1 Videos

  • TANGENTS AND NORMALS

    ML KHANNA|Exercise PROBLEM SET (1) (FILL IN THE BLANKS)|3 Videos

  • SELF ASSESSMENT TEST

    ML KHANNA|Exercise OBJECTIVE MATHEMATICS |16 Videos

  • THE CIRCLE

    ML KHANNA|Exercise Self Assessment Test (Fill in the blanks) |7 Videos

Similar Questions

Explore conceptually related problems

The length of the normal to the curve y=a((e^(-x//a)+e^(x//a))/(2)) at any point varies as the

[ Length of the normal to the curve at any point on the curve y=(a(e^(x/a)+e^(-x/a)))/(2) varies as [ 1) x, 2) x^(2), 3) y , 4) y^(2)]]

The length of subtangent to the curve y=e^((x)/(a))

The length of subtangent to the curve, y=e^(x//a) is

The length of the normal to the curve y=a cos h (x/a) at any point varies as

The slope of the normal to the curve y=x ^(2) +2e^(x) + 2 at (0,4) is

The length of normal at any point to the curve,y=c cosh((x)/(c)) is

The length of the subtangent at any point on the curve y=be^(x/3) is

Draw the curve y=e^([x])

Equation of the horizonatl tangent to the curve y=e^(x)+e^(-x) is

ML KHANNA-TANGENTS AND NORMALS-PROBLEM SET (2) (MULTIPLE CHOICE QUESTIONS)
  1. If the curves y^2 = 16x and 9x^2 + by^2 = 16 cut each other at right a...

    Text Solution

    |

  2. If the two curves y = a^x and y =b^x intersect at an angle alpha, then...

    Text Solution

    |

  3. Out of the four curves given below chciose the curve which intersects...

    Text Solution

    |

  4. The length of the subnormal to the parabola y^(2)=4ax at any point is ...

    Text Solution

    |

  5. If at any point (x, y) on a curve subtangent and subnormal are of equa...

    Text Solution

    |

  6. The length of sub-tangent to the curve sqrtx+sqrty=3 at the point (4,...

    Text Solution

    |

  7. The length of the subtangent to the curve x^2+xy+y^2=7 at (1,-3) is

    Text Solution

    |

  8. The length of the normal at t on the curve x=a(t+sint), y=a(1-cos t), ...

    Text Solution

    |

  9. The length of the normal to the curve x= a(t +sin t),y = a(1-cos t), "...

    Text Solution

    |

  10. Sum of squares of intercepts made on co-ordinate axes hy the tangents ...

    Text Solution

    |

  11. The portion of the tangent of the curve x^(2/3)+y^(2/3)=a^(2/3) ,which...

    Text Solution

    |

  12. At a point (a// 8, a// 8) on the curve x^(1//3) + y^(1//3) = a^(1//3) ...

    Text Solution

    |

  13. In the curve x =a [cost+ log tan (t // 2)], y =a sin t, the portion of...

    Text Solution

    |

  14. The triangle formed by the tangent to the curve f(x)=x^2+bx-b the poin...

    Text Solution

    |

  15. The length of the normal at theta on the curve x = a cos^3 theta,y=asi...

    Text Solution

    |

  16. The length of the normal to the curve at (x, y) y=a((e^(x//a)+e^(-x//a...

    Text Solution

    |

  17. The value of n for which the length of the subnormal of the curve xy^n...

    Text Solution

    |

  18. If the tangent at P on the curve x^my^n =d^(m+n) meets the co-ordinate...

    Text Solution

    |

  19. For the parabola y^2 = 4ax, the ratio of the subtangentto the abscissa...

    Text Solution

    |

  20. The tangent at any point. on the curve x^4+y^4=a^4 cuts off intercepts...

    Text Solution

    |