Home
Class 12
MATHS
If lx +my+n =0 be a tangent to the circl...

If `lx +my+n =0` be a tangent to the circle `x^(2)+y^(2)+2gx+2fy+c=0` at a given point, on it, find the equation of the normal to the circle at the same point.

Text Solution

Verified by Experts

The correct Answer is:
`mx-ly=lf-mg`
Promotional Banner

Topper's Solved these Questions

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS|42 Videos
  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|50 Videos
  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise MULTIPLE CHOICE TYPE QUESTIONS|16 Videos
  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos
  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

If px+qy=r be a tangent to the circle x^(2)+y^(2)=a^(2) at any given point then find the equatin of the normal to the circle at the same point.

The straight line 3x-4y +7 = 0 is a tangent to the circle x^(2) + y^(2) + 4x + 2y + 4 = 0 at P, find the equation of its normal at the same point.

Find the equation of the normal to the circle x^2+y^2-2x=0 parallel to the line x+2y=3.

Find the equation of the normals to the circle x^2+y^2-8x-2y+12=0 at the point whose ordinate is -1

Find the equation of the normal to the circle x^2+y^2=9 at the point (1/(sqrt(2)),1/(sqrt(2))) .

The length of the tangent of the circle x^2+y^2-2x-y -7 = 0 from the point (-1,-3) is

If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find the equation of the other tangent to the circle from the origin.

If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at A and B , then find the equation of the circle on A B as diameter.

Find the equation of tangent to the circle x^(2)+y^(2)=a^(2) at the point (a cos theta, a sin theta) . Hence , show that the line y=x+a sqrt(2) touches the given circle,Find the coordinats of the point of contact.

If the circles x ^(2) +y^(2) +2gx +2fy =0 and x ^(2) +y^(2) +2g'x+ 2f'y=0 touch each other then-

CHHAYA PUBLICATION-TANGENT AND NORMAL -VERY SHORT ANSWER TYPE QUESTIONS
  1. If px+qy=r be a tangent to the circle x^(2)+y^(2)=a^(2) at any given ...

    Text Solution

    |

  2. If lx +my+n =0 be a tangent to the circle x^(2)+y^(2)+2gx+2fy+c=0 at a...

    Text Solution

    |

  3. Find the points on the ellipse 4x^(2)+9y^(2)=36 at which the tangents ...

    Text Solution

    |

  4. Is there any tangent paralle to x-axis to the parabola y^(2)+20x ? G...

    Text Solution

    |

  5. Find where the normal to the circle x^(2)+y^(2)-4x+6y+9=0 is parallel ...

    Text Solution

    |

  6. Find the where the tangents to the parabola y=x^(2) is paralle to the...

    Text Solution

    |

  7. Find the coordinates of points on the hyperbola xy=c^(2) at which the...

    Text Solution

    |

  8. Prove that the tangent to the curce y=x^(2)-5x+6 at the points (2,0) a...

    Text Solution

    |

  9. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  10. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  11. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  12. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  13. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  14. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  15. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  16. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  17. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  18. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  19. Find the equation of the tangent at the specified points to each of th...

    Text Solution

    |

  20. Find the equation of the normal at the specified point to each of the ...

    Text Solution

    |