Home
Class 12
MATHS
The length of the subnormal at any point...

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

A

2x

B

2a

C

4a

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

Similar Questions

Explore conceptually related problems

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

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

The length of the subnormal to the curve y^(2)=x^(3) at the point (4, 8) is

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

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

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 lengths of the subnormal and subtangent to the parabola y^(2)=8x at (2,-4) are respectively

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

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

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

HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
  1. If the radius of a sphere is measured as 7 m with an error of 0.02m, t...

    Text Solution

    |

  2. Each edge of a cube is increased by 50%. Find the percentage increase ...

    Text Solution

    |

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

    Text Solution

    |

  4. The length of the sub - tangent to the curve x^(m)y^(n) = a^(m+n) at a...

    Text Solution

    |

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

    Text Solution

    |

  6. The abscissae of the points where the tangent to curve y = x^(3) - 3x^...

    Text Solution

    |

  7. The point at which the tangent to the curve y= 2x^(2) -x+1 is parallel...

    Text Solution

    |

  8. The equation to the tangent to the curve y = be ^(-x/a) at the point w...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |