Home
Class 11
MATHS
Find the equation of the straight line t...

Find the equation of the straight line through the point `(alpha,beta)` and perpendiculasr to the line `l x+m y+n=0.`

Text Solution

Verified by Experts

The line perpendicular to
` lx + my + n = 0 `is
`mx – ly + lambda = 0`
This line passes through `(alpha, β)`.
`malpha - lbeta+ lambda `= 0
...
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    RD SHARMA|Exercise Solved Examples And Exercises|144 Videos

  • TRANSFORMATION FORMULAE

    RD SHARMA|Exercise Solved Examples And Exercises|145 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the straight line passing through the point (2, 5) and perpendicular to the line 2x+5y=31 .

Find the equation of the straight line which passes through the point (alpha, beta) and is parallel to the line lx+my+n=0

Find the equation of the straight line that passes through the point (3,4) and is perpendicular to the line 3x+2y+5=0

Write the equation of the straight line through the point (alpha,beta,gamma and parallel to z-axis.

Find the equation of the line passing through the point (0, 3) and perpendicular to the line x-2y+5=0.

Find the equation of the straight line which passes through the point (0,3) and is perpendicular to the straight line x+y+1=0

Find the equation of a line passing through the point (-1,0) and perpendicular to the line x+5y=4 .

Find the equation of the straight line through the point P(a,b) parallel to the line x/a+y/b = 1 also find the intercepts made by it on the axes .

Find the equation of the straight line which passes through the point (-1,0) and is parallel to the straight line y=2x+3.

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. Find the equation is of the altitudes of as "Delta"A B C whose vertice...

    Text Solution

    |

  2. Find the equation of a line which is perpendicular to the line sqrt...

    Text Solution

    |

  3. Find the equation of the straight line through the point (alpha,beta) ...

    Text Solution

    |

  4. Find the equation of the straight line perpendicular to 2x-3y=5 and cu...

    Text Solution

    |

  5. Find the equation of the straight line perpendicular to 5x-2y=8 and wh...

    Text Solution

    |

  6. Find the equation of the straight line which has y-intercept equal to ...

    Text Solution

    |

  7. Find the equation of the right bisector of the line segment joining th...

    Text Solution

    |

  8. Find the image of the point (2,1) with respect to the line mirror x+y-...

    Text Solution

    |

  9. If the image of the point (2, 1) with respect to a line mirror be (5, ...

    Text Solution

    |

  10. Find the equation to the straight line parallel to 3x-4y+6=0\ and pas...

    Text Solution

    |

  11. Prove that the lines 2x-3y+1=0,\ x+y=3,\ 2x-3y=2\ a n d\ x+y=4 form a ...

    Text Solution

    |

  12. Find the equation of a line drawn perpendicular to the line x/4+y/6 = ...

    Text Solution

    |

  13. The perpendicular from the origin to the line y=m x+c meets it at the ...

    Text Solution

    |

  14. Find the equation of the right bisector of the line segment joining th...

    Text Solution

    |

  15. The line through (h ,3)a n d\ (4,1) intersects the line k 7x-9y-19=0 a...

    Text Solution

    |

  16. Find the image of the point (3, 8)with respect to the line x + 3y = 7...

    Text Solution

    |

  17. Find the coordinates of the foot o the perpendicular from the point ...

    Text Solution

    |

  18. Find the projection of the point (1,0) on the line joining the points ...

    Text Solution

    |

  19. Find the equation of a line perpendicular to the line 3x+y+5=0 and at ...

    Text Solution

    |

  20. The line 2x+3y=12 meets the x-axis at A and y-axis at B. The line thro...

    Text Solution

    |