Home
Class 10
MATHS
If the distance between P (x, y) from A ...

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

Text Solution

Verified by Experts

The correct Answer is:
3x = 2y
Promotional Banner

Topper's Solved these Questions

  • CO-ORDINATE GEOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS - LONG ANSWER [LA] TYPE QUESTIONS|6 Videos

  • CO-ORDINATE GEOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS - HIGHER ORDER THINKING SKILLS [HOTS] QUESTIONS|14 Videos

  • CO-ORDINATE GEOMETRY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS - VERY SHORT ANSWER [VSA] TYPE QUESTIONS|14 Videos

  • CIRCLES

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( HOT [HIGHER ORDER THINKING SKILLS] - QUESTIONS) (IIT AND IMO)|9 Videos

  • CONSTRUCTIONS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( HOTS [HIGHER ORDER THINKING SKILLS] - QUESTIONS) IIT /OLYMPIAD/ IMO|5 Videos

Similar Questions

Explore conceptually related problems

Find the distance between 3x+4y+5=0 and 6x+8y+2=0

If P(x, y) is a point equidistant from the points A(6, -1) and B(2, 3), show that x-y = 3.

If the distance of the point P (1,-2, 1) from the plane x + 2y - 2z = alpha where alpha > 0, is 5, then the foot of the perpendicular from P to the plane is :

The distance between the lines 5 x-12 y+65=0 and 5 x-12 y-39=0 is

Find the distance between P (x_(1), y_(1)) " and " Q (x_(2), y_(2)) when : (i) PQ is parallel to the y-axis, (ii) PQ is parallel to the x-axis.

Show that the path of a moving point such that its distances from two lines 3x - 2y = 5 " and " 3x + 2y = 5 are equal is a straight line.

The distance between the points p(x_(1),y_(1)) and q(x_(2),y_(2)) given by is :

The distance of the point P(1,-3) from the line 2 y-3 x=4 is

The distance between two points p(x_(1),y_(1)) and q(x_(2),y_(2)) is given be :

(a) The distance between the points (3,1) and (0,x) is 5 units . Find x (b) A pint P(2,-1) is equidistant from the points (a,7) and (-3,a) . Find 'a' (c ) Find a point on y - axis which is equidistant from the points (5,2) and (-4,3) .

ZEN PUBLICATION-CO-ORDINATE GEOMETRY-ZEN ADDITIONAL QUESTIONS - SHORT ANSWER [SA] TYPE QUESTIONS
  1. What is the distance of P (x, y) from the origin?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Find the area of A ABC where A(-3/2, 3), B{6, -2), and C(-3,4 ).

    Text Solution

    |

  5. Find k if A (k + 1, 24), B(3k, 2k + 3), and C(5k-1, 5k) are collinear.

    Text Solution

    |

  6. Find the ratio in which x - y - 2 = 0 divides the line segment joining...

    Text Solution

    |

  7. The length of a line segment is sqrt(29) units. If one end is at (-3,5...

    Text Solution

    |

  8. Given P(at^(2), 2at) , Q ((a)/(t^(2)) , (-2a)/(t) ) , and S(a, 0 ) , s...

    Text Solution

    |

  9. Use a graph sheet to plot points P (-2, 2), Q (4, -2), and R (5, 2). C...

    Text Solution

    |

  10. James started from a point X, 4 units away from the origin above the X...

    Text Solution

    |

  11. The base AB of an equilateral Delta ABC of side 2p lies along the X-ax...

    Text Solution

    |

  12. Plot points P (3, 8) and Q (3,-8). Join AOPQ. What kind of a Delta is ...

    Text Solution

    |

  13. If A (3,y ) is equidistant from P (8,-3) and Q(7, 6), find y and the d...

    Text Solution

    |

  14. Find the values of y for which the distance between the points P(2, -3...

    Text Solution

    |

  15. Find the equation of the perpendicular bisector of the line segment jo...

    Text Solution

    |

  16. If P (2,2) is equidistant from A (-2, k) and B (-2k,-3), find k. Also ...

    Text Solution

    |

  17. Find a point equidistant from A (-5, 4) and B(-1,6). How many such poi...

    Text Solution

    |

  18. Show that (1, 0), (0, 1), (-3,4) are on a straight line.

    Text Solution

    |

  19. If P (x, y) lies on a circle whose centre is (3,-2) and radius is 3, s...

    Text Solution

    |

  20. The centre of a cicle is (2a, a -7). Find the values ofa if the circle...

    Text Solution

    |