JEE Main 2022 Mathematics question
The sum of diameters of the circles that touch (i) the parabola at the point (8/5, 6/5) and (ii) the y-axis, is equal to .
Answer: 10
Solution
The parabola is = (64/15)(y − 3/5), and the tangent at (8/5, 6/5) is 3x − 4y = 0. The circles touching it at this point form the family , i.e. − 16/5) + − 12/5) + 4 = 0. Putting x
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