Home
Class 12
MATHS
Show that y=x^3 and 6y=7-x^2 intersect o...

Show that `y=x^3` and `6y=7-x^2` intersect orthogonally:

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE IN SPACE

    RD SHARMA ENGLISH|Exercise All Questions|159 Videos

  • THE PLANE

    RD SHARMA ENGLISH|Exercise All Questions|305 Videos

Similar Questions

Explore conceptually related problems

Show that x^2=y and x^3+6y=7 intersect orthogonally at (1,\ 1)

Show that x^2=4y and 4y+x^2=8 intersect orthogonally at (2,\ 1)

Show that x^2+4y^2=8 and x^2-2y^2=4 intersect orthogonally

If curve y = 1 - ax^2 and y = x^2 intersect orthogonally then the value of a is

Prove that the curve y = x^2 and xy = k intersect orthogonally if 8k^2 = 1 .

Find the condition that curves 2x=y^(2) and 2xy=k intersect orthogonally.

Show that x^3-3x y^2=(-2) and 3x^2\ y-y^3=2 intersect orthogonally.

If curve x^2=9a(9-y) and x^2=a(y+1) intersect orthogonally then value of 'a' is

If the curves 2x^(2)+3y^(2)=6 and ax^(2)+4y^(2)=4 intersect orthogonally, then a =

The radius of the circle touching the line x+y=4" at "(1, 3) and intersecting x^(2)+y^(2)=4 orthogonally is

RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
  1. Find the angle of intersection of curve x^2+y^2=2x and y^2=x

    Text Solution

    |

  2. Find the angle of intersection of curve y=4-x^2 and y=x^2

    Text Solution

    |

  3. Show that y=x^3 and 6y=7-x^2 intersect orthogonally:

    Text Solution

    |

  4. Show that x^3-3x y^2=(-2) and 3x^2\ y-y^3=2 intersect orthogonally.

    Text Solution

    |

  5. Show that x^2+4y^2=8 and x^2-2y^2=4 intersect orthogonally

    Text Solution

    |

  6. Show that x^2=4y and 4y+x^2=8 intersect orthogonally at (2,\ 1)

    Text Solution

    |

  7. Show that x^2=y and x^3+6y=7 intersect orthogonally at (1,\ 1)

    Text Solution

    |

  8. Show that y^2=8x and 2x^2+y^2=10 at (1,\ 2sqrt(2))

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Prove that the curves x y=4 and x^2+y^2=8 touch each other.

    Text Solution

    |

  12. Prove that the curves y^2=4x and x^2+y^2-6x+1=0 touch each other at th...

    Text Solution

    |

  13. Find the condition for the following set of curves to intersect ort...

    Text Solution

    |

  14. Find the condition for the two concentric ellipses a1x^2+\ b1y^2=1\...

    Text Solution

    |

  15. Show that the curves (x^2)/(a^2+lambda1)+(y^2)/(b^2+lambda1)=1 and (x^...

    Text Solution

    |

  16. If the straight line xcosalpha+ysinalpha=p touches the curve (x^2)/(a^...

    Text Solution

    |

  17. Find the point on the curve y=x^2-2x+3 , where the tangent is pa...

    Text Solution

    |

  18. Find the slope of the tangent to the curve x=t^2+3t-8 , y=2t^2-2t-5...

    Text Solution

    |

  19. If the tangent line at a point (x ,\ y) on the curve y=f(x) is para...

    Text Solution

    |

  20. Write the value of (dy)/(dx) , if the normal to the curve y=f(x) at...

    Text Solution

    |