Home
Class 12
MATHS
The abscissa of the point on the curve a...

The abscissa of the point on the curve `ay^2 = x^3`, the normal at which cuts off equal intercepts from the coordinate axes is

A

`(2a)/9`

B

`(4a)/9`

C

`-(4a)/9`

D

`-(2a)/9`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 2|23 Videos
  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 3|36 Videos
  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 4|14 Videos
  • STRAIGHT LINE

    MOTION|Exercise Exercise 4 Lelvel -II|7 Videos
  • THEORY AND EXERCISE BOOK

    MOTION|Exercise EXERCISE - 4 (LEVEL -II)|22 Videos

Similar Questions

Explore conceptually related problems

The abscissa of the point on the curve sqrt(xy)=a+x the tangent at which cuts off equal intercepts from the coordinate axes is -(a)/(sqrt(2))( b) a/sqrt(2)(c)-a sqrt(2)(d)a sqrt(2)

The abscissa of a point on the curve xy=(a+x)^(2), the normal which cuts off numerically equal intercepts from the coordinate axes,is -(1)/(sqrt(2)) (b) sqrt(2)a( c) (a)/(sqrt(2))(d)-sqrt(2)a

find 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 co–ordinates.

The point on the curve y^(2) = 4ax at which the normal makes equal intercepts on the coordinate axes is

Find the point on the curve 9y^(2)=x^(3), where the normal to the curve makes equal intercepts on the axes.

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

Slope of a line which cuts off intercepts of equal lengths on the axes is

If (a,b) be the point on the curve 9y ^(2)=x ^(3) where normal to the curve make equal intercepts with the axis, then the value of (a+b) is:

MOTION-TANGENT & NORMAL-EXERCISE 1
  1. If a variable tangent to the curve x^2y=c^3 makes intercepts a , bonx-...

    Text Solution

    |

  2. If the line a x+b y+c=0 is a normal to the curve x y=1, then a >0,b >...

    Text Solution

    |

  3. if the tangent ta the curve x=a(1+sintheta) , y=a(1+costheta) at theta...

    Text Solution

    |

  4. The co-ordinates of the points on the barabola y^(2) =8x, which is at ...

    Text Solution

    |

  5. The abscissa of the point on the curve ay^2 = x^3, the normal at whic...

    Text Solution

    |

  6. The ordinate of y=(a/2)(e^(x/a)+e^(-x/a))is the geometric mean of the ...

    Text Solution

    |

  7. For a curve (length of normal)^2/(length of tangent)^2 is equal to

    Text Solution

    |

  8. If at any point on a curve the surtangent and subnormal are equal, the...

    Text Solution

    |

  9. The curves x^3+p xy^2=-2 and 2x^2y-y^3=2 are othogonal for

    Text Solution

    |

  10. If curves (x^2)/(a^2)-(y^2)/(b^2)=1 and xy=c^2 intersect othrogonally ...

    Text Solution

    |

  11. Equation of the normal to the curve y=-sqrtx+ 2 at the point of its in...

    Text Solution

    |

  12. The curve C1:y=1-cosx,x in(0,pi) and C2:y=(sqrt3)/(2)|x|+a will touch ...

    Text Solution

    |

  13. Use differential to approximate sqrt(36.6)

    Text Solution

    |

  14. Find the approximate change in the surface area of a cube of side x...

    Text Solution

    |

  15. If f(x)=3x^2+15 x+5,then the approximate value of f (3. 02)is(A) 47.6...

    Text Solution

    |

  16. Water is being poured on to a cylindrical vessel at the rate of 1 m^3/...

    Text Solution

    |

  17. Water is poured into an inverted conical vessel of which the radius of...

    Text Solution

    |

  18. The area of the triangle formed by the positive x-axis and the normal ...

    Text Solution

    |

  19. Sketch the graph of y=(x^3)/(3)-(3x^2)/(2)+2x+6

    Text Solution

    |

  20. Sketch graph of y=("Inx")/x

    Text Solution

    |