1.

The extremities of the diagonal of a rectangle are `(-4, 4)` and `(6,-1)`. A circle circumscribes the rectangle and cuts inercept of length `AB` on the `y`-axis. The length of `AB` isA. `11`B. `12`C. `13`D. `14`

Answer» Correct Answer - A
Since circle circumscribes the rectangle and so the its diagonal with vertices `(-4,4)` and `(6,-1)` will act as diameter of the circle. Hence its equation is
`implies(x+4)(x-6)+(y-4)(y+1)=0`
`impliesx^(2)+y^(2)-2x-3y-2=0`
length of `AB=2sqrt((3/2)^(2)+28)=11`


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