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CBSE Class 10 Answered

Pag 344 Question 8 Find the co-ordinates of the point equidistant from three given points A(5,3), B(5,-5)and C (1,-5)
Asked by miniprasad | 13 Oct, 2018, 03:10: PM
answered-by-expert Expert Answer
Let the coordinates of the point P(x, y) be equdistant from A(5, 3), B(5, -5) and C(1, -5)
PA = PB
PA2 = PB2 
(x - 5)2 + (y - 3)2 = (x - 5)2 + (y + 5)2 
(y - 3)2 =  (y + 5)2 
Solving this we get y = -1 
Also,
PA = PC
PA2 = PC2 
solving this equation using y = -1 we get x = 3
Hence, the coordinates of a point P (x, y) = P(3, -1)

Answered by Sneha shidid | 15 Oct, 2018, 11:08: AM
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