In the XY-plane, the area, in sq. units, of the region defined by the inequalities \( y \geq x + 4 \) and \( -4 \leq x^2 + y^2 + 4(x - y) \leq 0 \) is:
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The sum of all four-digit numbers that can be formed with the distinct non-zero digits a, b, c, and d, with each digit appearing exactly once in every number, is 153310 + n, where n is a single digit natural number. Then, the value of (a + b + c + d + n) is ______ TITA
If \( (a + b\sqrt{n}) \) is the positive square root of \( (29 - 12\sqrt{5}) \), where \( a \) and \( b \) are integers, and \( n \) is a natural number, then the maximum possible value of \( (a + b + n) \) is