Home
Class 11
MATHS
Point R (h, k) divides a line segment be...

Point R (h, k) divides a line segment between the axis in the ratio `1: 2`. Find equation of the line.

Text Solution

AI Generated Solution

To find the equation of the line that is divided by the point R(h, k) in the ratio 1:2 between the x-axis and y-axis, we can follow these steps: ### Step 1: Define the intercepts Let the x-intercept be \( (b, 0) \) and the y-intercept be \( (0, a) \). ### Step 2: Use the section formula Since point R divides the line segment between the intercepts in the ratio 1:2, we can use the section formula to find the coordinates of R. The section formula states that if a point divides the line segment joining two points \( (x_1, y_1) \) and \( (x_2, y_2) \) in the ratio \( m:n \), then the coordinates of the point are given by: \[ ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT ENGLISH|Exercise EXERCISE 10.5|2 Videos
  • STRAIGHT LINES

    NCERT ENGLISH|Exercise EXERCISE 10.4|4 Videos
  • STRAIGHT LINES

    NCERT ENGLISH|Exercise EXERCISE 10.1|14 Videos
  • STATISTICS

    NCERT ENGLISH|Exercise EXERCISE 15.2|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise All Questions|110 Videos

Similar Questions

Explore conceptually related problems

Point R (h, k) divides a line segment between the axes in the ratio 1: 2 . Find equation of the line.

Point R (h, k) divides a line segment between the axes in the ratio 1:"2 . Find equation of the line.

Point P (h,k) divides a line segment between the exes in the ratio 1:2 Find the lengths (intercepts) on the axes made by this segment. Also find the area of triangle formed by the line segment and the axes.

To divide a line segment in a given ratio.

If the mid-point of the line segment between the axes of a line is (p,q) then find the equation of the line.

A line AB meets the x-axis at point A and y-axis at point B. The point P(-4,-2) divides the line segment AB internally such that AP : PB = 1:2. Find : equation of line through P and perpendicular to AB.

M is the mid-point of the line segment joining the points A(-3, 7) and B(9, -1). Find the co-ordinates of point M. Further, if R(2, 2) divides the line segment joining M and the origin in the ratio p : q, find the ratio p : q.

A line passes through the point (-2, 6) and portion of the line intercepted between the axes is divided at this point in the ratio 3:2 . Find the equation of the line.

M and N are two points on the X-axis and Y-axis respectively. P(3, 2) divides the line segment MN in the ratio 2:3 . Find : slope of the line MN.

A line perpendicular to the in segment joining the points (1,0) and (2,3) divides it in the ratio 1: n . Find the equation of the line.

NCERT ENGLISH-STRAIGHT LINES-EXERCISE 10.2
  1. By using the concept of equation of a line, prove that the three poin...

    Text Solution

    |

  2. Write the equations for the x–and y–axis.

    Text Solution

    |

  3. Find the equation of the line which satisfy the given conditions : Pa...

    Text Solution

    |

  4. Find the equation of the line which satisfy the given conditions : Pa...

    Text Solution

    |

  5. Find the equation of the line which satisfy the given conditions : Pa...

    Text Solution

    |

  6. Find the equation of the line which satisfy the given conditions : In...

    Text Solution

    |

  7. Find the equation of the line which satisfy the given conditions : In...

    Text Solution

    |

  8. Find the equation of the line which satisfy the given conditions : Pa...

    Text Solution

    |

  9. Point R (h, k) divides a line segment between the axis in the ratio 1...

    Text Solution

    |

  10. P (a, b) is the midpoint of a line segment between axes. Show that eq...

    Text Solution

    |

  11. Find equation of the line passing through the point (2, 2) and cutt...

    Text Solution

    |

  12. Find the equation of a line that cuts off equal intercepts on the coo...

    Text Solution

    |

  13. A line perpendicular to the line segment joining the points (1, 0) an...

    Text Solution

    |

  14. Find the equation of the line passing through (3,- 5)and perpendicular...

    Text Solution

    |

  15. The owner of a milk store finds that, he can sell 980 litres of milk e...

    Text Solution

    |

  16. The length L (in centimetre) of a copper rod is a linear function o...

    Text Solution

    |

  17. The perpendicular from the origin to a line meets it at the point (2,...

    Text Solution

    |

  18. Find the equation of the line passing through the point (0,2) making a...

    Text Solution

    |

  19. Find the equation of the line which satisfy the given conditions : Pe...

    Text Solution

    |

  20. The vertices of Delta PQR are P (2, 1), Q (2, 3)and R (4, 5). Find equ...

    Text Solution

    |