Home
Class 12
MATHS
If the subnormal at any point on the cur...

If the subnormal at any point on the curve `y^(n) = ax` is a constant, then n=

A

2

B

1

C

`3/2`

D

-2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

Similar Questions

Explore conceptually related problems

The sub normals at any point of the curve y = x^(n) is constant. Then n=

The length of the subnormal at any point(x,y) on the curve y^(2) = 4ax is

If the length of the sub-tanget at any point to the curve xy^(n) = a is proportional to the abscissa, then 'n' is

Show that the normal at any point θ to the curve x = a costheta + a theta sin theta, y = a sintheta – atheta costheta is at a constant distance from the origin.

For the curve y^(n) -=a^(n-1)x if the subnormal at any point is a constant then n=

The length of the subnormal at 't' on the curve x = a (t + sin t), y = a(1-cos t) is

The locus of the midpoints of the line joining the focus and any point on the parabola y^(2)=4ax is a parabola with the equation of directrix as

If ST and SN are the lengths of the subtangent and the subnormal at the point theta =(pi)/(2) on the curve x = a (theta + sin theta), y = a (1 - cos theta), a ne1 then...

Subnormal to the curve xy = c^(2)/2 at (c/2,c) is

HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
  1. The parabolas y=x^(2+ax+b and y=x(c-x) touch each other at (1,0). Then...

    Text Solution

    |

  2. For the curve xy^(m)=a^(m+1) the length of the subnormal at any point ...

    Text Solution

    |

  3. If the subnormal at any point on the curve y^(n) = ax is a constant, t...

    Text Solution

    |

  4. The length of subtangent at any point (x,y) on y = 4e^(x/7) is

    Text Solution

    |

  5. The lengths of the subnormal and subtangent to the parabola y^(2)=8x a...

    Text Solution

    |

  6. For the parabola y^(2)=4ax, the ratio of the subtangent to the absciss...

    Text Solution

    |

  7. For the curve x^(3) y^(3)=32, the length of the subtangent at (2,-2) i...

    Text Solution

    |

  8. For the curve y=ax^(n) the length of the subnormal at any point is a c...

    Text Solution

    |

  9. Subnormal to the curve xy = c^(2)/2 at (c/2,c) is

    Text Solution

    |

  10. The subtangent at x = pi/2 on the curve y = x . sin x is

    Text Solution

    |

  11. The length of the subnormal to the curve x^(2)-y^(2) =12 at (4,-2) is

    Text Solution

    |

  12. The length of the subnormal at 't' on the curve x = a (t + sin t), y =...

    Text Solution

    |

  13. The length of the subtangent at t on the curve x=a(t+sint),y=a(1-cost)...

    Text Solution

    |

  14. The length of the subnormal at any point(x,y) on the curve y^(2) = 4ax...

    Text Solution

    |

  15. The length of the subnormal to the curve y^(2)=x^(3) at the point (4, ...

    Text Solution

    |

  16. The length of the subtangent to the curve sqrtx + sqrt y = 3 at (4,1)

    Text Solution

    |

  17. The length of the subtangent to the curve x^(2)y^(2) = a^(4) at (-a, -...

    Text Solution

    |

  18. The length of the subtangent for the curve x^(5) = 2y^(6) at (1/2,1/2)...

    Text Solution

    |

  19. The length of the subtangent for the curve 2y^(2) = x^(3) at (2,2) is

    Text Solution

    |

  20. The square of the subtangent to the curve (x+a)^(3) = by^(2) is propor...

    Text Solution

    |