Home
Class 12
MATHS
The condition that the two curves x=y^2,...

The condition that the two curves `x=y^2,xy=k` cut orthogonally is

A

`2k^2=1`

B

`8k^2=1`

C

`8k^3=1`

D

`2k^3=1`

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

The condition that the two curves y^2=4ax,xy=c^2 cut orthogonally is

The two curves x=y^2,xy=a^3 cut arthogonally at a point, then a^2 =

The equation of the circle which passes through the origin has its centre on the line x+y=4 and cuts orthogonally the circle x^2+y^2-4x+2y+4=0

The locus of centres of all circles which touch the line x = 2a and cut the circle x^2 + y^2 = a^2 orthogonally is

Show that the following curves cut orthogonally 4y^(2)-x^(2)=8, 2x^(2)+y^(2)=20

Show that the following curves cut orthogonally x^(2)+y^(2)=25,2x^(2)-9y+18=0

If a circle passes through the point (a,b) and cuts the circle x^2+y^2=k^2 orthogonally then the locus of its centre is

If a circle passes through the point (a,b) and cuts the circle x^2+y^2=k^2 orthogonally , show that the locus of its centre is 2ax+2by-(a^2+b^2+k^2)=0

DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1B (TANGENT AND NORMAL)
  1. The angle between the curves y=x^2 and y=4-x^2 is

    Text Solution

    |

  2. The angle between the curves y^2=8x,x^2=4y-12 at (2, 4) is

    Text Solution

    |

  3. The condition that the two curves x=y^2,xy=k cut orthogonally is

    Text Solution

    |

  4. The two curves x=y^2,xy=a^3 cut arthogonally at a point, then a^2=

    Text Solution

    |

  5. The condition that the two curves y^2=4ax,xy=c^2 cut orthogonally is

    Text Solution

    |

  6. The curves ax^2+by^2=1 and Ax^2+By^2=1 intersect orthogonally, then

    Text Solution

    |

  7. If the curves x^2+py^2=1 and qx^2+y^2=1 are orthogonal to eeach other,...

    Text Solution

    |

  8. If the curves x^2/a^2+y^2/b^2=1 and x^2/25+y^2/16=1 cut each other ort...

    Text Solution

    |

  9. If the curves x^2/a^2+y^2/b^2=1 and x^2/l^2-y^2/m^2=1 cut each other o...

    Text Solution

    |

  10. The curves x^2/(a^2+k1)+y^2/(b^2+k1)=1 and x^2/(a^2+k2)+y^2/(b^2+k2)=1...

    Text Solution

    |

  11. If the curves y^2=6x,9x^2+by^2=16, cut each other at right angles then...

    Text Solution

    |

  12. Angle between then tangents to the curve y=x^2-5x+6 at the points (2, ...

    Text Solution

    |

  13. The length of the tangent of the curve y=x^3+1 at (1, 2) is

    Text Solution

    |

  14. The length of the tangent of the curve y^2=x^3/(2a-x) at (a, a) is

    Text Solution

    |

  15. The length of the tangent of the curve 2x^2+3xy-2y^2=8 at (2, 3) is

    Text Solution

    |

  16. The length of the tangent of the curve x=acos^3theta,y=asin^3theta(a>0...

    Text Solution

    |

  17. The length of the normal to the curve y=x^2+1 at (1, 2) is

    Text Solution

    |

  18. The length of the normal to the curve y=c cos ((hx)/c) at any point is

    Text Solution

    |

  19. The length of the normal to the curve y^2=x^3/(2a-x) at (a,a) is

    Text Solution

    |

  20. The length of the normal of the curve 2x^2+3xy-2y^2=8 at (2, 3) is

    Text Solution

    |