Home
Class 10
MATHS
If the distance of P(x,y) from A(5,1) an...

If the distance of P(x,y) from A(5,1) and B(-1,5) are equal, then prove that 3x = 2y.

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AGRAWAL PUBLICATION|Exercise EXAMPLE|51 Videos
  • INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS

    AGRAWAL PUBLICATION|Exercise EXAMPLE|63 Videos

Similar Questions

Explore conceptually related problems

If the distances of P(x, y) from A(5,1) and (-1,5) are equal, then prove that 3x = 2y.

(i) If the point (x, y) is equidistant from the points (a+b, b-a) and (a-b, a+b), prove that bx = ay. (ii) If the distances of P(x, y) from A(5, 1) and B(-1, 5) are equal then prove that 3x =2y.

If the distances of P(x, y) from A(5,1) and B(-1, 5) are equal , then ,

If the distances of p (x, y) from A (-1, 5) and B (5, 1) are equal, then

If the distance of P(x,y) from A(2,4) and B (-3,1) are equal , then relation between x and y is.

If the point P(x,y) is equidistant from the points A(5,1) and B(-1,5), prove that 3x=2y

If the point P(x,y) is equidistant from the points A(5,1) and B(1,5), prove that x=y

If the point P(x, y) is equidistant from A(5, 1) and B(-1, 5) then find the relation between x and y.

If the point P(x,y) is equidistant from A(5,1) and B(-1,5), then 5x=y(b)x=5y(c)3x=2y(d)2x=3y

AGRAWAL PUBLICATION-COORDINATE GEOMETRY-EXAMPLE
  1. Find the ratio in which the point (-3,k) divides the line segment join...

    Text Solution

    |

  2. A line intersects the y-axis and x-axis at the points P and Q respecti...

    Text Solution

    |

  3. If the distance of P(x,y) from A(5,1) and B(-1,5) are equal, then prov...

    Text Solution

    |

  4. The coordinates of houses of Sonu and Labhoo are (7,3) and (4,3) respe...

    Text Solution

    |

  5. The points A(4, 7), B(p, 3) and C(7, 3) are the vertices of a right tr...

    Text Solution

    |

  6. The class X students of a secondary school have been alloted a rectang...

    Text Solution

    |

  7. The class X students of a secondary school have been alloted a rectang...

    Text Solution

    |

  8. Find the area of quadrialteral ABCD having vertices at A(1,2), B(1,0),...

    Text Solution

    |

  9. If the point C(-1,2) divides internally the line segment joining A(2,5...

    Text Solution

    |

  10. Prove that the points (2,-2), (-2,1) and (5,2) are the vertices of a r...

    Text Solution

    |

  11. Find the ratio in which y-axis divides the line segment joining the po...

    Text Solution

    |

  12. The x-coordinates of a point P is twice its y-coordinate. If P is equi...

    Text Solution

    |

  13. If the distance between the points (4,k) and (1,0) is 5, what can be t...

    Text Solution

    |

  14. Let P and Q be the points of trisection of the line segment joining th...

    Text Solution

    |

  15. Find the co-ordinates of the points of trisection of the line segment ...

    Text Solution

    |

  16. Find the points on the x-axis which are at a distance of 2 sqrt 5from ...

    Text Solution

    |

  17. What type of a quadrilateral do the points A(2,-2), B(7,3), C(11,-1) a...

    Text Solution

    |

  18. Point p divides the line segment joining the points A(2,1) and B(5,-8)...

    Text Solution

    |

  19. Find a point which is equidistant from the points A(-5,4) and B(-1,6)?...

    Text Solution

    |

  20. In what ratio does the point P(-4,y) divide the line segment joining t...

    Text Solution

    |