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Question

A square is inscribed in the circle x2+y2āˆ’2x+4y+3=0, whose sides are parallel to the coordinate axes. One vertex of the square is

A
(1+2,2)
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B
(12,2)
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C
(12+2)
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D
None of these
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Solution

The correct option is D None of these
We can see that the centre of the given circle is (1, -2).
Since the sides of square are parallel to the axes, therefore, first three alternates cannot be vertices of square because in first two (a and b) y = -2 and in (c) (x = 1), which passes through centre (1, -2) but it is not possible.
Therefore none of the above three is correct.

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