show that the point (11,2) is the centre of the circle passing through the points (1,2)(3,-4) and (5,-6)
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Solution(By Examveda Team)
In Give Question,
A + B = 8 ---- (i)
A + C =13 -----(ii)
B + D = 8 ----(iii)
C - D = 6 ----(iv)
Therefore equation (i) and (iii) are equal
A + B = B + D
=> A = D
Therefore, equation (iv) can be C - A = 6 ----- (v)
Now solving equation (ii) and (v), We Get C = 9.5 and A = 3.5
Put this value of A in equation in (i) B = 4.5 and value of C in equation (iv) we get D = 3.5
A = 3.5
B = 4.5
D = 3.5
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