Home
Class 12
MATHS
For the curve xy^(m)=a^(m+1) the length ...

For the curve `xy^(m)=a^(m+1)` the length of the subnormal at any point is a constant. Then the value of m must be

A

2

B

-1

C

-2

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

Similar Questions

Explore conceptually related problems

For the curve y=ax^(n) the length of the subnormal at any point is a constant. The value of n must be

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 any point(x,y) on the curve y^(2) = 4ax is

For the curve xy=c^(2) the subnormal at any point varies as

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

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

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

If m=2, find the value of : m-2

HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
  1. The curve x^(2)/25 + y^(2)/16 = 2 touches the line x/5 + y/4 = 2 at th...

    Text Solution

    |

  2. The parabolas y=x^(2+ax+b and y=x(c-x) touch each other at (1,0). Then...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |