Home
Class 10
MATHS
A line through point P(4, 3) meets x-axi...

A line through point P(4, 3) meets x-axis at point A and the y-axis at point B. If BP is double of PA, find the equation of AB. 

Text Solution

Verified by Experts

The correct Answer is:
`3x + 2y = 18`
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 point P(3, 2). It meets the x-axis at point A and the y-axis at point B. If (PA)/(PB) = 2/3 . find the equation of the line that passes through the point P and is perpendicular to line AB.

The line 3x - 4y + 12 = 0 meets x-axis at point A and y-axis at point B. Find : the co-ordinates of A and B.

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.

Find the equation of a line passing through the points (7, -3) and (2, -2) . If this line meets x-axis at point P and y-axis at point Q, find the co-ordinates of points P and Q.

The line 4x + 5y + 20 = 0 meets x-axis at point A and y-axis at point B. Find : the co-ordinates of points A and B.

A straight line through the point (1,1) meets the X-axis at A and Y-axis at B. The locus of the mid-point of AB is

The equation of a line is 3x - 4y + 12 = 0 . It meets the x-axis at point A and the y-axis at point B. Find : the length of intercept AB, cut by the line within the co-ordinate axes.

The equation of a line is 3x - 4y + 12 = 0 . It meets the x-axis at point A and the y-axis at point B. Find : the co-ordinates of points A and B.

The graph of 3x+2y=6 meets the x= axis at point P and the y-axis at point Q. Use the graphical method to find the co-ordinate of points P and Q.

The graph of 3x+2y=6 meet the x axis at point P and the y axis at point Q. Use the graphical method to find the co-ordinates of the points P and Q.

ICSE-EQUATION OF A LINE-EXERCISE 14(E)
  1. Find the equation of the line that has x-intercept = -3 and is perpend...

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

    Text Solution

    |

  5. In the given figure, line AB meets y-axis at point A. Line through C(2...

    Text Solution

    |

  6. In the given figure, line AB meets y-axis at point A. Line through C(2...

    Text Solution

    |

  7. In the given figure, line AB meets y-axis at point A. Line through C(2...

    Text Solution

    |

  8. A line through point P(4, 3) meets x-axis at point A and the y-axis at...

    Text Solution

    |

  9. Find the equation of line through the intersection of lines 2x - y = 1...

    Text Solution

    |

  10. Find the equation of the line through the points A(-1, 3) and B(0, 2)....

    Text Solution

    |

  11. Three vertices of a parallelogram ABCD taken in order are A (3, 6), B ...

    Text Solution

    |

  12. Three vertices of a parallelogram ABCD taken in order are A (3, 6), B ...

    Text Solution

    |

  13. Three vertices of a parallelogram ABCD taken in order are A (3, 6), B ...

    Text Solution

    |

  14. In the figure, given, ABC is a triangle and BC is parallel to the y-ax...

    Text Solution

    |

  15. In the figure, given, ABC is a triangle and BC is parallel to the y-ax...

    Text Solution

    |

  16. In the figure, given, ABC is a triangle and BC is parallel to the y-ax...

    Text Solution

    |

  17. In the figure, given, ABC is a triangle and BC is parallel to the y-ax...

    Text Solution

    |

  18. The slope of a line joining P(6, k) and Q(1 - 3k, 3) is 1/(2). Find : ...

    Text Solution

    |

  19. A line AB meets X-axis at A and Y-axis at B. P(4, -1) divides AB in t...

    Text Solution

    |

  20. A line AB meets X-axis at A and Y-axis at B. P(4, -1) divides AB in t...

    Text Solution

    |