JEE Main 2022 Mathematics question
Let a circle C : , k > 0, touch the x-axis at (1, 0). If the line x + y = 0 intersects the circle C at P and Q such that the length of the chord PQ is 2, then the value of h + k + r is equal to .
Answer: 7
Solution
The circle touches the x-axis at (1, 0), so h = 1 and k = r. The distance of the centre (1, r) from the line x + y = 0 is , and the chord length
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