Home
Class 11
MATHS
Prove that the equation of the st. line ...

Prove that the equation of the st. line parallel to Ax + By + C = 0 and passing through `(x_1,y_1)` is `A(x-x_1)+B(y-y_1)=0`.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise EXERCISE|98 Videos

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos

Similar Questions

Explore conceptually related problems

Prove that the equation of the st. line perpendicular to Ax + By + C = 0 and passing through (x_1,y_1) is Bx- Ay = Bx_1 - Ay_1 .

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

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

Prove that the line through the point (x_1,y_1) and parallel to the line Ax + By + C = 0 is A (x- x_1) + B (y -y_1) = 0.

The cartesian equation of a line is 6x - 2 = 3y + 1 = 2z - 2 . Find :(a) the direction-ratios of the line, and (b) vector equation of the line parallel to this line and· passing through the point (2, - 1, - 1).

Show that the equation of the tangent to the parabola y^(2) = 4 ax at (x_(1), y_(1)) is y y_(1) = 2a(x + x_(1)) .

Find the general equation of the line which is parallel to 3x-4y+5 = 0 . And such that line passes through the point (-1,2)

Find the equation of the lines passing through the point of intersection of x+2y=5 and x-3y=7 and passing through : (1,0).

Prove that the equations of the st. lines x+y-1=0 and x-y-1= 0 can be written as x + y = 0 and x-y = 0 by shifting the origin to a suitable point.

MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. Find the equation of the line that is parallel to 2x +5y = 7 and passe...

    Text Solution

    |

  2. Find the equation of the perpendicular bisector of the st. line segmen...

    Text Solution

    |

  3. Prove that the equation of the st. line parallel to Ax + By + C = 0 an...

    Text Solution

    |

  4. Prove that the equation of the st. line perpendicular to Ax + By + C =...

    Text Solution

    |

  5. Find the equation of the st. line going through the point (1,-2) and p...

    Text Solution

    |

  6. Find the equation of a line passing through (4,5) and perpendicular to...

    Text Solution

    |

  7. Find the equation of a line perpendicular to 2x+4y-9=0 and Passing thr...

    Text Solution

    |

  8. Find the equation of the line Perpendicular to the line x -7y +5 = 0 a...

    Text Solution

    |

  9. Find the equation of a line that is perpendicular to 3x + 2y = 8 and p...

    Text Solution

    |

  10. Find the equation of a line that is perpendicular to 3x + 2y = 8 and p...

    Text Solution

    |

  11. Find the equation of the right-bisector of the line segment joining th...

    Text Solution

    |

  12. Find the equation of the line passing through (-3, 5) and perpendicula...

    Text Solution

    |

  13. Find the equation of the line, which is perpendicular to 5x- 2y = 7 an...

    Text Solution

    |

  14. Find the equation of a st. line drawn at right angles to the st. line ...

    Text Solution

    |

  15. Find the equation of a line drawn perependicular to the line (x)/(4)+(...

    Text Solution

    |

  16. The perpendicular from the origin to a line meet at the point (-2, 9),...

    Text Solution

    |

  17. A line perpendicular to the line-segment joining the points (1, 0) and...

    Text Solution

    |

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

    Text Solution

    |

  19. Two lines passing through the point (2, 3) intersect each other at an ...

    Text Solution

    |

  20. Show that the equation of the line through the origin and making an an...

    Text Solution

    |