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Question

The straight line $2x + 3y - k = 0$, $k > 0$ cuts the X- and Y-axes at $A$ and $B$. The area of $\triangle OAB$, where $O$ is the origin, is 12 sq. units. The equation of the circle having $AB$ as diameter is ........

$x^2 + y^2 - 6x + 4y = 0$

$x^2 + y^2 - 4x - 6y = 0$

$x^2 + y^2 - 6x - 4y = 0$

$x^2 + y^2 + 4x - 6y = 0$

Solution

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