Q. If each of the lines and contains a diameter of the circle
, then :

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and

Solution:

Point of intersection of two given lines is (1, 1). Since each of the two given lines contains a diameter of the given circle, therefore the point of intersection of the two given lines is the centre of the given circle.
Hence centre = (1,1)

and
From both and
Now on replacing each of and by 1, the equation of the given circle is

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Q. If each of the lines and contains a diameter of the circle , then :

and

and

and

and