Home
Class 12
MATHS
For the curve xy=c^(2) the subnormal at ...

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

A

`x^(3)`

B

`x^(2)`

C

`y^(3)`

D

`y^(2)`

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

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

The abscissa of the point on the curve xy = (c+x)^(2) , the normal at which cuts off numerically equal intercepts from the axes of coordinates is

If the slope of the normal to the curve x^(3)=8a^(2)y, a gt 0 at a point in the first quadrant is -(2)/(3) , then the point is :

If the normal at (ct,c/t) on the curve xy=c^2 meets the curve again in 't' , then :

The points on the curve 9y^(2) = x^(3) where the normal to the curve makes equal intercepts with the axes are

The area of the triangle formed by the co-ordinate axes and a tangent to the curve xy=a^(2) at the point (x_(1), y_(1)) on it is :

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

HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
  1. The equation to the tangent to the curve y = be ^(-x/a) at the point w...

    Text Solution

    |

  2. The slope of the tangent to the curve x=3t^(2)+1,y=t^(3)-1 at x=1 is

    Text Solution

    |

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

    Text Solution

    |

  4. For the curve y^(n) -=a^(n-1)x if the subnormal at any point is a cons...

    Text Solution

    |

  5. If ST and SN are the lengths of the subtangent and the subnormal at th...

    Text Solution

    |

  6. If is the acute angle of intersection at a real point of intersection ...

    Text Solution

    |

  7. If the curve y=2x^(3)+ax^(2)+bx+c passes through the origin and the ta...

    Text Solution

    |

  8. The tangent and the normal drawn to the curve y=x^(2)-x+4 at P(1,4) c...

    Text Solution

    |

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

    Text Solution

    |

  10. The point on the curve y^(2) = x where the tangent makes an angle (pi)...

    Text Solution

    |

  11. The point(s) on the curve y^(3)+3x^(2)=12y, where the tangent is verti...

    Text Solution

    |

  12. The equation of the tangent to the curve x^(n) + y^(n) = 2a^(n) at (a,...

    Text Solution

    |

  13. The volume of a ball is increasing at the rate of 4 pi c.c /sec. The r...

    Text Solution

    |

  14. The speed nu of the particle moving along straight line is given by a+...

    Text Solution

    |

  15. If the area of an expanding circular region increases at a constant ra...

    Text Solution

    |

  16. The rate of change of the surface area of a sphere of radius r when th...

    Text Solution

    |

  17. If the distance 's' metres traversed by a particle in 1 seconds is giv...

    Text Solution

    |

  18. A spherical balloon is being inflated at the rate of 35 cc//min. The r...

    Text Solution

    |

  19. If the rate of decrease of x^(2)/2-2x+5 is twice the rate of decrease ...

    Text Solution

    |

  20. OA and OB are two roads enclosing an angle of 120^(@).X and y start fr...

    Text Solution

    |