JEE Main 2024 Mathematics question
Let a variable line passing through the centre of the circle x² + y² − 16x − 4y = 0, meet the positive coordinate axes at the points A and B. Then the minimum value of OA + OB, where O is the origin, is equal to
Answer: (B)
Solution
The centre is (8, 2). A line through it is y − 2 = m(x − 8), with x-intercept 8 − 2/m and y-intercept 2 − 8m (m <
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