JEE Main 2022 Mathematics question
Let C be a circle passing through the points A(2, −1) and B(3, 4). The line segment AB is not a diameter of C. If r is the radius of C and its centre lies on the circle , then is equal to :
Answer: (2)
Solution
The centre lies on the perpendicular bisector of AB: y − 3/2 = −(1/5)(x − 5/2), i.e. x + 5y = 10. Substituting into with y = (10 − x)/5 gives ( + 1/25) = 13/2, so $(x -
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