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Question

A circle is drawn with y-axis as a tangent and its centre at the point which is the reflection of (3, 4) in the line y = x. The equation of the circle is

A

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B

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C

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D

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Solution

The correct option is C
Reflection of (3, 4) in the lies y = x is (4, 3)
Radius = 4
Centre = (4, 3)
Equation of the circle is $x^{2} + y^{2} - 8 x - 6 y + 9 = 0$ .

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