find the eqn of the circle passing through A(4,3) B(2,5) and touching the y axis. also find the point on the point on the y axis such that angle APB has the greatest magnitude

find the equation of line passing through A and B.

find the mid point of AB. it is 3,4

take the centre to be a,b

u know that a is radius and y=b is a line passing through centre.

now find the line perpendicular to AB through its mid point.

find the point of intersection of this line and y=b.

its x coordinate should be a

solve for a and b.

u get the circle equation

what is point P?

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