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Q.

The circumcentre of the triangle formed by the lines x+y−1=0, x−y−1=0, x−3y+3=0 is

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a

(1, 5)

b

(−1, −5)

c

(12,52)

d

(32,  32)

answer is D.

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Detailed Solution

x+y−1=0 --------(1)x−y−1=0 --------(2)x−3y+3=0 --------(3)Solving (1),(3) C=(0,  1) Solving (2), (3) B=(3,  2) Circum centre = midpoint of BC=(32,32)
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