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Coordinate Geometry.
Asked by khushal305 | 06 Sep, 2009, 02:13: PM Expert Answer

Let the point O(x,y) be equidistant from the points A (1, 2) , B (3, -4) and C (5, -6)..

Now using distance formula OA = OB = OC (x-1)2 + (y-2)2 = (x-3)2 + (y+4)2

On squaring and equating, we will get

x + y = 5         ..................(1)

Similarly, (x-1)2 + (y-2)2 = (x-5)2 + (y+6)2

On squaring and equating, we will get

x - 2y = 7          ...............(2)

Solving the simulatneous linear equations we get the value of x and y as

x = 17/ 3 and y = -2/3

Answered by | 08 Sep, 2009, 09:44: AM

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