JEE Advance - Mathematics (1995 - No. 3)
Consider a square with vertices at $$(1,1), (-1,1), (-1,-1)$$ and $$(1, -1)$$. Let $$S$$ be the region consisting of all points inside the square which are nearer to the origin than to any edge. Sketch the region $$S$$ and find its area.
The region S is a square with vertices at (0,0), (1,0), (0,1) and (1,1). The area is 1.
The region S is a circle centered at the origin with radius 1. The area is π.
The region S is the region consisting of points (x,y) inside the square that satisfy |x| + |y| < 1. The area is 2.
The region S consists of all points inside the square which are nearer to the origin than to any edge. The area of S is (16√2 - 20)/3.
The region S is a rhombus centered at the origin. The area is √2.
Comments (0)
