Home
Class 10
MATHS
A (7, -1), B (4, 1) and C (-3, 4) are t...

`A (7, -1), B (4, 1) and C (-3, 4) ` are the vertices of a triangle ABC. Find the equation of a line through the vertex B and the point P in AC, such that `AP : CP = 2 : 3`.

Text Solution

Verified by Experts

The correct Answer is:
`y = 1`
Promotional Banner

Topper's Solved these Questions

  • EQUATION OF A LINE

    ICSE|Exercise EXERCISE 14(D)|41 Videos

  • EQUATION OF A LINE

    ICSE|Exercise EXERCISE 14(E)|68 Videos

  • EQUATION OF A LINE

    ICSE|Exercise EXERCISE 14(B)|39 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(-3, 1), B(4,4) and C(1, -2) are the vertices of a triangle ABC. Find: the equation of altitude AE.

A(-3, 1), B(4,4) and C(1, -2) are the vertices of a triangle ABC. Find: the equation of median BD.

A (1, 4), B (3, 2) and C (7,5) are vertices of a triangle ABC. Find : the equation of a line, through the centroid and parallel to AB.

A(-1, 3), B(4, 2) and C(3, -2) are the vertices of a triangle. Find the equation of the line through G and parallel to AC.

A (1, -5), B (2, 2) and C (-2, 4) are the vertices of triangle ABC. find the equation of: the line through C and parallel to AB.

A (1, -5), B (2, 2) and C (-2, 4) are the vertices of triangle ABC. find the equation of: the median of the triangle through A.

A (1, -5), B (2, 2) and C (-2, 4) are the vertices of triangle ABC. find the equation of: the altitude of the triangle through B.

(-5, 2), (3, -6) and (7, 4) are the vertices of a triangle. Find the length of its median through the vertex (3,-6).

A (-3, 4), B (3, -1) and C (-2, 4) are the vertices of a triangle ABC. Find the length of line segment AP, where point P lies inside BC, such that BP: PC = 2 : 3.

Points A(7, -4), B(-5, 5) and C(-3, 8) are vertices of triangle ABC, Find the length of its median through vertex A.

ICSE-EQUATION OF A LINE-EXERCISE 14(C)
  1. In DeltaABC, A = (3,5), B = (7, 8) and C = (1, -10). Find the equatio...

    Text Solution

    |

  2. The following figure shows a parallelogram ABCD whose side AB is paral...

    Text Solution

    |

  3. Find the equation of the straight line passing through origin and the ...

    Text Solution

    |

  4. In triangle ABC, the co-ordinates of vertices A, B and C are (4, 7), (...

    Text Solution

    |

  5. A, B and C have co-ordinates (0, 3), (4, 4) and (8, 0) of triangle AB...

    Text Solution

    |

  6. Find the equation of the perpendicular dropped from the point (-1, 2) ...

    Text Solution

    |

  7. Find the equation of the line, whose : x-intercept = 5 and y-interce...

    Text Solution

    |

  8. Find the equation of the line, whose : x-intercept = -4 and y-interc...

    Text Solution

    |

  9. Find the equation of the line, whose : x-intercept = -8 and y-interc...

    Text Solution

    |

  10. Find the equation of the line whose slope is -5/6 and x-intercept is...

    Text Solution

    |

  11. Find the equation of the line with x-intercept 5 and a point on it (-3...

    Text Solution

    |

  12. Find the equation of the line through (1, 3) and making an intercept o...

    Text Solution

    |

  13. Find the equations of the lines passing through point (-2, 0) and equa...

    Text Solution

    |

  14. The line through P(5, 3) intersects y-axis at Q. Write the slope ...

    Text Solution

    |

  15. The line through P(5, 3) intersects y-axis at Q. Write the equati...

    Text Solution

    |

  16. The line through P(5, 3) intersects y-axis at Q. Find the co-ordi...

    Text Solution

    |

  17. Write down the equation of the line whose gradient is -2/5 and which ...

    Text Solution

    |

  18. A (1, 4), B (3, 2) and C (7,5)  are vertices of a triangle ABC. Find :...

    Text Solution

    |

  19. A (1, 4), B (3, 2) and C (7,5)  are vertices of a triangle ABC. Find :...

    Text Solution

    |

  20. A (7, -1), B (4, 1) and C (-3, 4) are the vertices of a triangle ABC....

    Text Solution

    |