Home
Class 10
MATHS
A line segment joining A (-1,(5)/(3)) a...

A line segment joining `A (-1,(5)/(3))` and B(a, 5) is divided in the ratio 1: 3 at P, the point where the line segment AB intersects the y-axis.
Calculate the co-ordinates of 'P'.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SECTION AND MID-POINT FORMULA

    ICSE|Exercise QUESTIONS|17 Videos

  • SECTION AND MID-POINT FORMULA

    ICSE|Exercise EXERCISE 13 (B)|20 Videos

  • SAMPLE PAPER 5 (MATHEMATICS)

    ICSE|Exercise SECTION C|8 Videos

  • SHARES AND DIVIDENDS

    ICSE|Exercise Exercise 3(C )|20 Videos

Similar Questions

Explore conceptually related problems

A line segment joining A (-1,(5)/(3)) and B(a, 5) is divided in the ratio 1: 3 at P, the point where the line segment AB intersects the y-axis. Calculate the value of a'.

In what ratio is the line joining A(0, 3) and B(4, -1) divided by the x-axis ? Write the co-ordinates of the point where AB intersects the x-axis.

The co-ordinates of two points A and B are (-3, 4) and (2, -1). Find : the co-ordinates of the point where the line AB intersects the y-axis.

If P (9a-2,-b) divides line segment joining A (3a+1,-3) and B(8a,5) in the ratio 3 : 1 , then find the values of a and b.

The line segment joining the points A(3,2) and B (5,1) is divided at the point P in the ratio 1 : 2 and it lies on the line 3x-18y+k=0 . Find the value of k.

The line segment joining the points A (3,-4) and B (-2, 1) is divided in the ratio 1:3 at point P in it. Find the co-ordinates of P. Also, find the equation of the line through P and perpendicular to the line 5x – 3y = 4 .

The mid - point of line segment AB (shown in the diagram) is (-3, 5), Find the co-ordinates of A and B. .

In DeltaABC , a point P on BC divided BC in the ratio 1:1. what is the line segment joining vertex A and P called ?

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.

Given a line segment AB joining the points A (-4, 6) and B (8, -3). Find : (ii) find the coordinates of the point of intersection. Divided by y-axis.

ICSE-SECTION AND MID-POINT FORMULA-EXERCISE 13 (C)
  1. Find the co-ordinates of points of trisection of the line segment join...

    Text Solution

    |

  2. A line segment joining A (-1,(5)/(3)) and B(a, 5) is divided in the r...

    Text Solution

    |

  3. A line segment joining A (-1,(5)/(3)) and B(a, 5) is divided in the r...

    Text Solution

    |

  4. In what ratio is the line joining A(0, 3) and B(4, -1) divided by the ...

    Text Solution

    |

  5. The mid-point of the A segment AB, as shown in diagram, is C (4, -3). ...

    Text Solution

    |

  6. AB is a diameter of a circle with centre C = (-2, 5). If A = (3, -7). ...

    Text Solution

    |

  7. AB is a diameter of a circle with centre C = (-2, 5). If A = (3, -7). ...

    Text Solution

    |

  8. Find the co-ordinates of the centroid of a triangle ABC whose vertices...

    Text Solution

    |

  9. The mid-point of the line segment joining (4a, 23) and (-4, 3b) is (2,...

    Text Solution

    |

  10. The mid-point of the line segment joining (2a, 4) and (-2, 2b) is (1, ...

    Text Solution

    |

  11. Write down the co-ordinates of the point P that divides the line joini...

    Text Solution

    |

  12. write down the coordinate of the point p that divides the line joining...

    Text Solution

    |

  13. write down the coordinate of the point p that divides the line joining...

    Text Solution

    |

  14. Prove that the points A(-5, 4), B(-1, -2) and C(5, 2) are the vertices...

    Text Solution

    |

  15. M is the mid-point of the line segment joining the points A(-3, 7) and...

    Text Solution

    |

  16. Calculate the ratio in which the line joining A (-4, 2) and B (3, 6) i...

    Text Solution

    |

  17. Determine the ratio in which the line 2x +y 4 = 0 divides the line ...

    Text Solution

    |

  18. If the abscissa of a point P is 2, find the ratio in which this point ...

    Text Solution

    |

  19. The line joining the points (2, 1) and (5, -8) is trisected at the poi...

    Text Solution

    |

  20. Find the image of the point A(5, -3) under reflection in the point P(-...

    Text Solution

    |