Home
Class 12
MATHS
find the abscissa of the point on the cu...

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.

Text Solution

Verified by Experts

The correct Answer is:
`+-c/(sqrt2)`
Promotional Banner

Topper's Solved these Questions

  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 4|14 Videos
  • TANGENT & NORMAL

    MOTION|Exercise EXERCISE 2|23 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 ay^(2)=x^(3), the normal at which cuts off equal intercepts from the coordinate axes is

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

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)

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.

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

Find the equation of the plane which cuts off intercepts 3,6 and -4 from the axes of coordinates.

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

MOTION-TANGENT & NORMAL-EXERCISE 3
  1. If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , t...

    Text Solution

    |

  2. The tangent at a variable point P of the curve y = x^2 – x^3 meets it ...

    Text Solution

    |

  3. Find the points on the curve y=x^3 at which the slope of the tan...

    Text Solution

    |

  4. Show that for any point of the curve x^2 - y^2 = a^2 the segment of th...

    Text Solution

    |

  5. Prove that the length of segment of all tangents to curve x^(2/3)+y^(2...

    Text Solution

    |

  6. find the abscissa of the point on the curve xy=(c-x)^2 the normal at ...

    Text Solution

    |

  7. The angle of intersection of the curves y =2 sin^2 x and y = cos 2 x ...

    Text Solution

    |

  8. if two curves C1 : x=y^2 and C2 : xy=k cut at right angles,then value ...

    Text Solution

    |

  9. A particle moves along the curve 6y = x^(3)+2. Find the points on th...

    Text Solution

    |

  10. The length x of a rectangle is decreasing at the rate of 3 cm/minute ...

    Text Solution

    |

  11. The length x of rectangle is decreasing at a rate of 3 cm//min and wi...

    Text Solution

    |

  12. A lamp is 50ftdot above the ground. A ball is dropped from the same he...

    Text Solution

    |

  13. A man 1.5 m tall walks away from a lamp post 4.5 m high at a rate of 4...

    Text Solution

    |

  14. A man 1.5 m tall walks away from a lamp post 4.5 m high at a rate of 4...

    Text Solution

    |

  15. The tangent to the graph of the function y=f(x) at the point with absc...

    Text Solution

    |

  16. The set of values of p for which the equation |ln x| -px = 0 possess t...

    Text Solution

    |

  17. Find the minimum value of (x1-x2)^2+(sqrt(2-x1^2)-9/(x2))^2 where x1...

    Text Solution

    |

  18. The number of solutions of the equation |f(|x|))| – 3 = 0

    Text Solution

    |

  19. The equation of the normal to the curve y^(4)=ax^(3) at (a,a) is

    Text Solution

    |

  20. The equation of tangent at Q is

    Text Solution

    |