Home
Class 12
MATHS
if two curves C1 : x=y^2 and C2 : xy=k c...

if two curves `C_1 : x=y^2` and `C_2 : xy=k` cut at right angles,then value of k is :

Text Solution

Verified by Experts

The correct Answer is:
`+-1/(2sqrt3)`
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

If the two curves x=y^2 and xy=k cut each other at right angles than a possible value of "K" is

Show that the curves 2x=y^(2) and 2xy=k cut at right angles,if k^(2)=8.

Show that the curves x=y^(2) and xy=k cut at right angles,if 8k^(2)=1

Show that the curves x=y^2 and x y=k cut at right angles, if 8k^2=1 .

Show that the curves 2x=y^2 and 2x y=k cut at right angles, if k^2=8 .

Show that the curves 4x=y^2 and 4x y=k cut at right angles, if k^2=512 .

If the curves x=y^4 and xy = k cut at right angles , then (4k)^6 is equal to ________ .

If the planes x+2y+kz=0 and 2x+y-2z=0 , are at right angles, then the value of k 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

    |