Home
Class 11
MATHS
Show that the line joining (2,-3) and (-...

Show that the line joining (2,-3) and (-5,1) is parallel to the line joining (7,-1) and (0,3).

Text Solution

AI Generated Solution

To show that the line joining the points (2, -3) and (-5, 1) is parallel to the line joining the points (7, -1) and (0, 3), we need to find the slopes of both lines and compare them. If the slopes are equal, the lines are parallel. ### Step-by-Step Solution: **Step 1: Find the slope of the first line (M1)** The formula for the slope (M) between two points (x1, y1) and (x2, y2) is given by: \[ M = \frac{y2 - y1}{x2 - x1} \] ...
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

Show that the line joining (2,-3) and (-5,1) is (i) parallel to the line joining (7,-1) and (0,3) (ii) perpendicular to the line joining (4,5) and (0,-2)

Show that the line joining (-1,1) and (-9,6) are parallel to the line joining (-2,14) and (6,9).

Show that the line joining (2, -3) and (-5, 1) is : Perpendicular to the line joining (4, 5) and (0, -2)

Show that the line joining (2, -3) and (-1, 2) is perpendicular to the line joining (3, 7) and (-2, 4) .

Show that the line joining (5, 6) and (2,3) is parallel to the line through (9, -2) and (6, -5) .

Show that the joining (2,-5) and (-2,5) is perpendicular to the line joining (6,3) and (1,1) .

Show that the line joining the points (4,-1) and (-3,3) is parallel to the line joining the points (8,0) and (1,4) .

Show that the line joining the points (4,5) and (1,2) is parallel to the line joining the points (9,-2) and (12,1) .

Show that the line joining the points A(4,8) and B(5,5) is parallel to the line joining the points C(2,4) and D(1,7).

Show that the line joining the points (4,-3) and (0,7) is perpendicular to the line joining the points (5,2) and (0,0) .

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. What is the value of y so that the line through (3, y)a n d\ (2,7) is ...

    Text Solution

    |

  2. What can be said regarding a line if its slope is i. positive ii. zero...

    Text Solution

    |

  3. Show that the line joining (2,-3) and (-5,1) is parallel to the line ...

    Text Solution

    |

  4. Show that the joining (2,-5) and (-2, 5) is perpendicular to the line ...

    Text Solution

    |

  5. Without using Pythagoras theorem, show that the points A(0,4),\ B(1,2)...

    Text Solution

    |

  6. Prove that the points (-4, -1), (-2, -4), (4,0) and (2,3) are the v...

    Text Solution

    |

  7. If three points A(h ,0),\ P(a , b)a n d\ B(0, k) lie on a line, show t...

    Text Solution

    |

  8. The slope of a line is double of the slope of another line. If tangen...

    Text Solution

    |

  9. Consider the following population and year graph: find the slope of th...

    Text Solution

    |

  10. Without using distance formula, show that points (2," "1) , (4," "0) ,...

    Text Solution

    |

  11. Find the angle between the X-axis and the line joining the points (3,-...

    Text Solution

    |

  12. Line through the points (-2,6) and (4,80 is perpendicular to the line ...

    Text Solution

    |

  13. Find the value of x for which the points (x-1),\ (2,1)a n d\ (4,5)\ a...

    Text Solution

    |

  14. Find the angle between X-axis an the line joining the points (-3,-1) ...

    Text Solution

    |

  15. By using the concept of slope, show that the points (-2,-1), (4,0), ...

    Text Solution

    |

  16. A quadrilateral has vertices (4,1), (1,7),(-6,0) AND (-1,-9). Show th...

    Text Solution

    |

  17. Write down the equation of the following lines: x-axis

    Text Solution

    |

  18. Write down the equation of the following lines: y-a xi s

    Text Solution

    |

  19. Write down the equation of the following lines:  A line parallel to x-...

    Text Solution

    |

  20. Write down the equation of the following lines: a line parallel to ...

    Text Solution

    |