Home
Class 10
MATHS
A straight line passes through the point...

A straight line passes through the points P(-1, 4) and Q(5,-2). It intersects the co-ordinate axes at points A and B. M is the midpoint of the segment AB. Find :

The co-ordinates of M.

Text Solution

Verified by Experts

The correct Answer is:
`(3/2, 3/2) `
Promotional Banner

Topper's Solved these Questions

  • EQUATION OF A LINE

    ICSE|Exercise EXERCISE 14(D)|41 Videos
  • CYLINDER, CONE AND SPHERE

    ICSE|Exercise EXERCISE 20 (G)|23 Videos
  • FACTORISATION

    ICSE|Exercise M.C.Q(Competency Based Questions )|15 Videos

Similar Questions

Explore conceptually related problems

A straight line passes through the points P(-1, 4) and Q(5,-2). It intersects the co-ordinate axes at points A and B. M is the midpoint of the segment AB. Find : The co-ordinates of A and B.

A straight line passes through the points P(-1, 4) and Q(5,-2). It intersects the co-ordinate axes at points A and B. M is the midpoint of the segment AB. Find : The equation of the line.

A straight line passes through the points P(-1, 4) and Q(5,-2) . It intersects x-axis at point A and y-axis at point B. M is the midpoint of the line segment AB. Find : the co-ordinates of point M.

A straight line passes through the points A(-5, 2) and B(3,-6). It intersects the co-ordinate axes at points C and D . Find : the equation of AB.

A straight line passes through the points A(-5, 2) and B(3,6). It intersects the co-ordinate axes at points C and D . M is a point on AB which divides CD in the ratio 1: 2. Find : the co-ordinates of point M.

A straight line passes through the points A(-5, 2) and B(3,6). It intersects the co-ordinate axes at points C and D . M is a point on AB which divides CD in the ratio 1: 2. Find : the co-ordinates of points C and D.

In the given figure, P (4, 2) is mid-point of line segment AB. Find the co-ordinates of A and B.

Show that the line segment joining the points (-5, 8) and (10, -4) is trisected by the co-ordinate axes.

Find the equation of a plane passes through the point (1,2,3) and cuts equal intercepts on the co-ordinate axes.

Find the eqn of lines which pass through the point (1, 2) and equally inclined to the co- ordinate axes.

ICSE-EQUATION OF A LINE-EXERCISE 14(E)
  1. A straight line passes through the points P(-1, 4) and Q(5,-2). It int...

    Text Solution

    |

  2. A straight line passes through the points P(-1, 4) and Q(5,-2). It int...

    Text Solution

    |

  3. A straight line passes through the points P(-1, 4) and Q(5,-2). It int...

    Text Solution

    |

  4. (1, 5) and (-3, -1) are the co-ordinates of vertices A and C respectiv...

    Text Solution

    |

  5. Show that A (3, 2), B (6, -2) and C (2, -5) can be the vertices of a s...

    Text Solution

    |

  6. Show that A (3, 2), B (6, -2) and C (2, -5) can be the vertices of a s...

    Text Solution

    |

  7. A line through origin meets the line x = 3y + 2 at right angles at poi...

    Text Solution

    |

  8. A straight line passes through the point (3, 2) and the portion of thi...

    Text Solution

    |

  9. Find the equation of the line passing through the point of intersectio...

    Text Solution

    |

  10. Find the equation of the line which is perpendicular to the line x/a -...

    Text Solution

    |

  11. O (0, 0), A (3, 5) and B (-5, -3) are the vertices of triangle OAB. Fi...

    Text Solution

    |

  12. O (0, 0), A (3, 5) and B (-5, -3) are the vertices of triangle OAB. Fi...

    Text Solution

    |

  13. Determine whether the line through points (-2, 3) and (4, 1) is perpen...

    Text Solution

    |

  14. Given a straight line x cos 30^@ + y sin 30^@ = 2. Determine the equat...

    Text Solution

    |

  15. Find the value of k such that the line (k-2)x+(k+3)y-5=0 perpendi...

    Text Solution

    |

  16. Find the value of k such that the line (k-2)x+(k+3)y-5=0 is para...

    Text Solution

    |

  17. The vertices of a triangle are A (0, 5), B (-1, -2) and C (11, 7). Wri...

    Text Solution

    |

  18. The vertices of a triangle are A (0, 5), B (-1, -2) and C (11, 7). Wri...

    Text Solution

    |

  19. From the given figure, find : the co ordinates of A, B and C.

    Text Solution

    |

  20. From the given figure, find : the equation of the line through A ...

    Text Solution

    |