JEE Main 2024 Mathematics question
A square is inscribed in the circle x² + y² − 10x − 6y + 30 = 0. One side of this square is parallel to y = x + 3. If (x, y) are the vertices of the square, then Σ(x + y) is equal to:
Answer: (D)
Solution
Centre (5, 3), r² = 4. For each vertex, x² + y² = |centre|² + r² +
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