The circles which can be drawn to pass through (3,0) and (5,0) and to touch the y-axis, intersect at an angle theta, then what is the value of cos(theta) ?

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if what is drawn above is true, then angle where they meet is 180
cos(180) = -1
?

No that is not even in the option.
Option (a) 7/8
(b) 1/2
(c) 0
(d) 1/sqrt(2)

and I the question means that circles which pass through BOTH (3,0) and (5,0)

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