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The centre of circle inscribed in square formed by the lines x^2 - 8x + 12 = 0 and y^2 - 14y + 45 = 0, is

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The centre of circle inscribed in square formed by the lines x2 - 8x + 12 = 0 and y2 - 14y + 45 = 0, is

(a) (4, 7)

(b) (7, 4)

(c) (9, 4)

(d) (4, 9)

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Correct option: (a) (4, 7)

Explanation:

Given, circle is inscribed in square formed by the lines x2 - 8x + 12 = 0 and y2 - 14y + 45 = 0

where ABCD clearly forms a square.

=> Centre of inscribed circle is (4, 7)

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