Home
Class 10
MATHS
If the point P(x, y) is equidistant from...

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

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    X BOARDS|Exercise SECTION-D 39 (b)|1 Videos

Similar Questions

Explore conceptually related problems

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

(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 point P(x,y) is equidistant from the points A(a+b,b-a) and B(a-b,a+b). Prove that bx=ay.

If the point (x,y) is equidistant from the points (a+b,b-a) and (a-b,a+b) prove that bx=ay

If the point (x, y) is equidistant from points (7, 1) and (3, 5) , find x-y.

If the point (x,y) is equidistant from the points (a-b,a+b) and (-a-b,a+b) . Prove that x+b=0

If the point (x, y) is equidistant from the points (a+b, b-a) and (a-b, a+b), then prove that bx=ay.

If the point (x;y) is equidistant from the points (a+b;b-a) and (a-b;a+b) prove that bx=ay

X BOARDS-X Boards-All Questions
  1. Prove that the tangents drawn at the end points of a chord of a circle...

    Text Solution

    |

  2. A circle touches all the four sides of a quadrilateral ABCD. Prove tha...

    Text Solution

    |

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

    Text Solution

    |

  4. If (a^2+b^2)x^2+2(ab+bd)x+c^2+d^2=0 has real roots then

    Text Solution

    |

  5. In an A.P. first term is 5, last term is 45 and sum = 400 . Find the n...

    Text Solution

    |

  6. On a straight line passing through the foot of a tower, two points C a...

    Text Solution

    |

  7. A bag contains 15 white and some black balls. If the probability of d...

    Text Solution

    |

  8. In what ratio does the point (24/11,y) divide the line segment joinin...

    Text Solution

    |

  9. Three semicircles each of diameter 3 cm, a circle of diameter 4·5 cm a...

    Text Solution

    |

  10. Water in a canal, 2·4 m wide and 1·8 m deep, is flowing with a speed o...

    Text Solution

    |

  11. The slant height of a frustum of a cone is 4 cm and the perimeters ...

    Text Solution

    |

  12. Solve for x : 1/(x+1)+3/(5x+1)=5/(x+4), x != -1,-1/5,-4

    Text Solution

    |

  13. Two taps running together can fill a tank in 3(1/13) hours. If one tap...

    Text Solution

    |

  14. If the ratio of the sum of first n terms of two AP's is (7n+1) : (4n +...

    Text Solution

    |

  15. Prove that the length of the tangents drawn from an external point to ...

    Text Solution

    |

  16. In Fig. 10.13, X Y and XprimeYprime are two parallel tangents to a cir...

    Text Solution

    |

  17. An aeroplane flying at a height 300 metre above the ground passes vert...

    Text Solution

    |

  18. If two different dice are rolled together, the probability of getting ...

    Text Solution

    |

  19. Q. For what value of k will k+9, 2k-1 and 2k+7 are the consecutive ter...

    Text Solution

    |

  20. A ladder leaning against a wall makes an angle of 60° with the horizon...

    Text Solution

    |