Home
Class 12
MATHS
The equation of the normal to the cur...

The equation of the normal to the curve `3x^2-y^2=8` which is parallel to `x+3y=8` is `x-3y=8` (b) `x-3y+8=0` (c) `x+3y+-8=0` (d) `x+3y=0`

Text Solution

Verified by Experts

Consider the equation `3x^2−y^2=8 ` ......(1)
Differentiate w.r.t x
⇒`dy/dx​=3x/y`
​ ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE IN SPACE

    RD SHARMA|Exercise Solved Examples And Exercises|134 Videos

  • THE PLANE

    RD SHARMA|Exercise Solved Examples And Exercises|301 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the normal to the curve 3x^2-y^2=8 which are parallel to the line x+3y-5=0

Find the equation(s) of normal(s) to the curve 3x^(2)-y^(2)=8 which is (are) parallel to the line x+3y=4.

The equation of the normal to the curve y=sqrt(x-3) , which is parallel to the curve 6x+3y-4=0 are

3x+2y=8 2x-3y=8

Equation of tangent to y^(2)=8x which is parallel to x-y+3=0 is

Find the equation of the tangent to the parabola 3y^(2)=8x, parallel to the line x-3y= 5.

The equation of the tangent to the parabola y^(2)=8x which is perpendicular to the line x-3y+8=0 , is

3x+2y=8 2x-3y=1

The equation of the line with gradient -(3)/(2) which is concurrent with the lines 4x+3y-7=0 and 8x+5y-1=0

RD SHARMA-TANGENTS AND NORMALS-Solved Examples And Exercises
  1. The point on the curve y=12 x-x^2 where the slope of the tangent is...

    Text Solution

    |

  2. The angle between the curves y^2=x and x^2=y at (1,\ 1) is tan^(-1)...

    Text Solution

    |

  3. The equation of the normal to the curve 3x^2-y^2=8 which is paralle...

    Text Solution

    |

  4. The equation of tangent at those points where the curve y=x^2-3x+2 ...

    Text Solution

    |

  5. The slope of the tangent to the curve x=t^2+3t-8,\ \ y=2t^2-2t-5 at...

    Text Solution

    |

  6. At what points the slope of the tangent to the curve x^2+y^2-2x-3=0...

    Text Solution

    |

  7. The angle of intersection of the curves x y=a^2 and x^2-y^2=2a^2 is...

    Text Solution

    |

  8. If the curve a y+x^2=7 and x^3=y cut orthogonally at (1,\ 1) , then a ...

    Text Solution

    |

  9. If the line y=x touches the curve y=x^2+b x+c at a point (1,\ 1) then ...

    Text Solution

    |

  10. The slope of the tangent to the curve x=3t^2+1 , y=t^3-1 at x=1 is ...

    Text Solution

    |

  11. The curves y=a e^x and y=b e^(-x) cut orthogonally, if a=b (b) a=-b (c...

    Text Solution

    |

  12. The equation of the normal to the curve x=a\ cos^3theta,\ \ y=a\ s ...

    Text Solution

    |

  13. If the curves y=2\ e^x and y=a e^(-x) intersect orthogonally, then ...

    Text Solution

    |

  14. The point on the curve y=6x-x^2 at which the tangent to the curve i...

    Text Solution

    |

  15. The angle of intersection of the parabola y^2=4\ a x and x^2=4a y a...

    Text Solution

    |

  16. The angle of intersection of the curves y=2\ s in^2x and y=cos2\ x ...

    Text Solution

    |

  17. Any tangent to the curve y=2x^7+3x+5 (a) is parallel to x-axis ...

    Text Solution

    |

  18. The point on the curve 9y^2=x^3 , where the normal to the curve mak...

    Text Solution

    |

  19. The slope of the tangent to the curve x=t^2+3t-8,\ \ y=2t^2-2t-5 at...

    Text Solution

    |

  20. The line y=m x+1 is a tangent to the curve y^2=4x , if the value of...

    Text Solution

    |