Home
Class 11
MATHS
The curve y^2=(x+a)^3, the square of the...

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

Promotional Banner

Topper's Solved these Questions

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise EXERCISE 7.3 (SHORT ANSWER & LONG ANSWER QUESTIONS)|8 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (ADVANCED) PRACTICE SHEET (ADDVANCED)) (Comprehension Type Questions)|6 Videos

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)|41 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) .

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

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

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

The sum of the lengths of the subtangent and subnormal at theta=pi//3 on the cycloid x=a(theta-sintheta),y=a(1-costheta) is

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 any point t on the curve x=a(t+sint), y=a(1-cost), find the lengths of tangent, normal, subtangent and subnormal.

AAKASH SERIES-TANGENT AND NORMAL -ADVANCED SUBJECTIVE TYPE QUESTIONS
  1. Find the length of the tangent, length of the normal, the subtangent, ...

    Text Solution

    |

  2. Show that in the curve y=a log(x^(2)-a^(2)) the sum the lengths of th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. If the normal to the curve y=f(x) at (1, 2) make an angle (3pi)/(4) wi...

    Text Solution

    |

  7. If the line x + y = k is a normal to the curve y2 = 12x, find the valu...

    Text Solution

    |

  8. If the line ax + by + c = 0 is a normal to the curve xy = K^(2) then s...

    Text Solution

    |

  9. Show that the points of contact of the tangents drawn from the origin ...

    Text Solution

    |

  10. The tangent at any point f the curve x=at^3,y=at^4 divides the absciss...

    Text Solution

    |

  11. The normal at a point on the curvey^(2)=4ax is lx+my=1. Show that al^(...

    Text Solution

    |

  12. If the slop of the tangent to the curve e^(y)=1x^(2) at any point is m...

    Text Solution

    |

  13. If the tangent at any point on the curve x^4+y^4=a^4 cuts off intercep...

    Text Solution

    |

  14. If the sum of the squares of the intercepts on the axes cut off by the...

    Text Solution

    |

  15. Find the equation of the normal to the curve y=(1+x)^(y)+sin^(-1)(sin...

    Text Solution

    |

  16. Let P be the point (other than the origin) of intersection of the curv...

    Text Solution

    |

  17. Find the angle of intersection of the curves y=[sinx|+|cosx|] and x^(2...

    Text Solution

    |

  18. If the tangent at (x(0),y(0)) to the curve x^(3)+y^(3)=a^(3) meet the ...

    Text Solution

    |

  19. Find the point on the curve 3x^(2)-4y^(2)=72 which is nearest to the l...

    Text Solution

    |

  20. Show that curves x^(2//3)+y^(2//3)=e^(2//3) and (x^(2))/(a^(2))+(y^(2)...

    Text Solution

    |