Home
Class 10
MATHS
If the coordinates of two points A and...

If the coordinates of two points `A` and `B` are `(3,\ 4)` and `(5,\ -2)` respectively. Find the coordinates of any point `P` , if PA = PB, and area of triangle PAB is 10.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONSTRUCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|32 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    RD SHARMA ENGLISH|Exercise All Questions|391 Videos

Similar Questions

Explore conceptually related problems

If the coordinates of two points A and B are (3, 4) and (5,-2) , respectively, find the coordinates of any point P if P A=P Bdot Area of P A B is 10 sq. units.

If the coordinates of two points A and B are (3, 4) and (5,-2) , respectively, find the coordinates of any point P if P A=P Bdot Area of P A B is 10 sq. units.

If the coordinates of two points A and B are (3, 4) and (5,-2) , respectively, find the coordinates of any point P if P A=P Bdot Area of P A B is 10 sq. units.

If A and B are (1,\ 4) and (5,\ 2) respectively, find the coordinates of P when A P//B P=3//4 .

The coordinatse of two points A and B are (-1, 4) and (5, 1) , respectively. Find the coordinates of the point P which lie on extended line AB such that it is three times as far from B as from A.

A and B are two fixed points whose coordinates (3, 2) and (5, 4) respectively. The coordinates of a poin if ABP is an equilateral triangle, are

If A and B are two points having coordinates (-2,\ -2) and (2,\ 4) respectively, find the coordinates of P such that A P=3/7A B .

P, Q and R are three collinear points. P and Q are (3, 4) and (7, 7) respectively, and PR =10 units. Find the coordinates of R.

The coordinates of A ,\ B ,\ C are (6,\ 3),\ (-3,\ 5) and (4,\ -2) respectively and P is any point (x ,\ y) . Show that the ratio of the areas of triangles P B C and A B C is |(x+y-2)/7| .

If the coordinates of the mid-points of the sides of a triangle be (3,\ -2),\ (-3,\ 1) and (4,\ -3) , then find the coordinates of its vertices.

RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. If the points (p ,\ q),\ (m ,\ n) and (p-m ,\ q-n) are collinear...

    Text Solution

    |

  2. Find k so that the point P(-4,\ 6) lies on the line segment join...

    Text Solution

    |

  3. If the coordinates of two points A and B are (3,\ 4) and (5,\ -2) re...

    Text Solution

    |

  4. The coordinates of A ,\ B ,\ C are (6,\ 3),\ (-3,\ 5) and (4,\ -2) ...

    Text Solution

    |

  5. If the points A(1,\ -2),\ \ B(2,\ 3),\ \ C(-3,\ 2) and D(-4,\ -3) a...

    Text Solution

    |

  6. If the points P(-3,\ 9),\ \ Q(a ,\ b) and R(4,\ -5) are collinea...

    Text Solution

    |

  7. Find the area of the triangle whose vertices are (6,\ 3),\ (-3,\ 5)...

    Text Solution

    |

  8. Find the area of the quadrilateral whose vertices are (-3,\ 2),\ (5...

    Text Solution

    |

  9. Find the area of the quadrilateral whose vertices taken in order are ...

    Text Solution

    |

  10. Find the area of the quadrilateral whose vertices are (-4,\ -2),\ (...

    Text Solution

    |

  11. The four vertices of a quadrilateral are (1,\ 2),\ (-5,\ 6),\ (7,\ ...

    Text Solution

    |

  12. The vertices of A B C are (-2,\ 1),\ (5,\ 4) and (2,\ -3) respecti...

    Text Solution

    |

  13. Show that the following sets of points are collinear. (2,\ 5),\ (4,...

    Text Solution

    |

  14. Prove that the points (a ,\ 0),\ (0,\ b) and (1,\ 1) are colline...

    Text Solution

    |

  15. The area of a triangle is 5. Two of its vertices are (2,\ 1) and (3...

    Text Solution

    |

  16. Four points A(6,\ 3),\ \ B(-3,\ 5),\ \ C(4,\ -2) and D(x ,\ 3x) are...

    Text Solution

    |

  17. For what value of a the point (a ,\ 1),\ (1,\ -1) and (11 ,\ 4) are...

    Text Solution

    |

  18. Prove that the points (a ,\ b),\ (a1,\ b1) and (a-a1,\ b-b1) are ...

    Text Solution

    |

  19. If (x ,\ y) be on the line joining the two points (1,\ -3) and (-4,...

    Text Solution

    |

  20. Find the value of k if points (k ,\ 3),\ (6,\ -2) and (-3,\ 4) are ...

    Text Solution

    |