A circle is described on the line joining the points (2,−3) and (−4,7) as a diameter

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passes through the origin

touches the axis of x.

touches the axis of y

origin lies inside the circle

answer is D.

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Detailed Solution

Equation of the circle is (x−2)(x+4)+(y+3)(y−7)=0⇒x2+y2+2x−4y−29=0Centre is (1, – 2), radius =34Distance of the centre from the origin is 5<34

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