Home
Class 12
MATHS
For the curve y^2=(x+a)^3, the square of...

For the curve `y^2=(x+a)^3`, the square of the subtangent is ….. Subnormal

A

equal to

B

varies as

C

double the

D

square of the

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C (RATE OF CHANGE)|78 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A (APPROXIMATIONS AND ERRORS)|67 Videos

  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If at any point (x_1, y_1) on the curve y=f(x) the lengths of the subtangent and subnormal are equal, then the length of the tangent drawn to that curve at that point is

Show that at any point (x,y) on the curve y=b^((x)/(a)) , the length of the subtangent is a constant and the length of the subnormal is (y^(2))/(a) .

For the parabola y^2=4ax , the ratio of the subtangent to the abscissa is

Show that the square of the lengh of the subtangent at any point on the curve by^(2)=(x+a)^(3)( bne0) varies witht the length of the subnormal at that point

If at any point on the curve y=f(x) , the length of the subnormal is constant, then the curve will be a

Show that in the curve y=a log(x^(2)-a^(2)) the sum the lengths of the tangent and the subtangent at any point varies as the product of the coordinates of the point.

At the point (2,3) on the curve y = x^(3) - 2x + 1 , the gradient of the curve increases

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. The length of subnormal to the curve y=bsinx/a at any point is

    Text Solution

    |

  2. The length of the subnormal of the curves x=acos^3theat,y=asin^3theta(...

    Text Solution

    |

  3. The length of subnormal of the curves y=a/2(e^(x//a)+e^(-x//a)) at any...

    Text Solution

    |

  4. The subnormal of the curve y=a^x at any point on the varies directly a...

    Text Solution

    |

  5. The subnormal to the curve xy=c^2 at any point vaires directly as

    Text Solution

    |

  6. The subtangent at any point of the curve x^my^n=a^(m+n) varies as its

    Text Solution

    |

  7. For the curve y^2=(x+a)^3, the square of the subtangent is ….. Subnorm...

    Text Solution

    |

  8. The subtangent, ordinate and subnormal to the parabola y^2=4ax at a po...

    Text Solution

    |

  9. If the relation between subnormal SN and subtangent ST at any point on...

    Text Solution

    |

  10. If the subnormal of the curve xy^n=a^(n+1) is constant, then the value...

    Text Solution

    |

  11. If the subnormal at any point y=a^(1-n)x^n is of constant length, then...

    Text Solution

    |

  12. If at any point on the curve y=f(x), the length of the subnormal is co...

    Text Solution

    |

  13. The length of the subtangent to the curve y=ae^(x//b) at any point is

    Text Solution

    |

  14. the length of the subnormal to the curve y^2=4ax at any point is

    Text Solution

    |

  15. Length of the subtangent at any point on y^n=a^(n-1)x is

    Text Solution

    |

  16. Length of the subnormal at any point on y^n=a^(n-1)x is constant when ...

    Text Solution

    |

  17. The length of the tangent to the curve x=a(cost+logtant/2),y=asint at ...

    Text Solution

    |

  18. The sum of the lengths of the subtangent and subnormal at theta=pi//3 ...

    Text Solution

    |

  19. If the length of the subtangent = 9 and the length of the subnormal = ...

    Text Solution

    |

  20. The sum of the lengths of tangent and subtangent ata point of y=alog(x...

    Text Solution

    |