Coordinate Geometry.
Asked by khushal305 | 6th 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
Hence the answer.
Answered by | 8th Sep, 2009, 09:44: AM
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