Home
Class 11
MATHS
Find the equation of a line passing thro...

Find the equation of a line passing through the point (2,3) and parallel to the line and parallel to the line `x-4y+5=0` .

Text Solution

Verified by Experts

Any line parallel to `3x−4y+5=0 `will be of the form `3x−4y+c=0`
since this line passes through `(2,3)`
we should have `6−12+c=0=>c=6`
equation of line parallel to `3x−4y+5=0` and passing through `(2,3)` is `3x−4y+6=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 a line passes through the points (3,4) and parallel to the line x+5y=1 .

Find the equation of a line passes through the point (1,3) and parallel to the line 3x-5y+7=0 .

Find the equation of the line passing through the point (2,-5) and parallel to the line 2x-3y=7.

Find the equation of a line passing through the point (0,1) and parallel to : 3x-2y+5=0

Find the equation of a line passing through origin and parallel to the line 3x-5y+2=0 .

Find the equation of a line passing through point (5, 1) and parallel to the line 7x – 2y + 5 = 0.

Find the equation of the line passing through (-2,-3) and parallel to y-axis

Find the equation of the line passing through (-2,-3) and parallel to x-axis

Find the equation of a line passing through the point (-3,2) and parallel to line 4x - 3y - 7 = 0 .

The equation of the line passing through (1,-2) and parallel to the line 8x-4y+7=0 is

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. The equations of two sides of a triangle are 3x-2y+6=0\ a n d\ 4x+5y-2...

    Text Solution

    |

  2. Find the circumcentre of the triangle whose sides are 3 x-y+3 =0,3x +4...

    Text Solution

    |

  3. Find the equation of a line passing through the point (2,3) and par...

    Text Solution

    |

  4. find the equation of a line passing through (3,-2)and perpendicular...

    Text Solution

    |

  5. Find the equation of the perpendicular bisector of the line joining th...

    Text Solution

    |

  6. Find the equation is of the altitudes of as "Delta"A B C whose vertice...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |