Question

The area enclosed by the curves \( |y + x| \le 1 \), \( |y - x| \le 1 \) and \( 2x^2 + 2y^2 = 1 \) is

• A. \( \left(2 + \frac{\pi}{2}\right) \) sq units
• B. \( \left(2 - \frac{\pi}{2}\right) \) sq units
• C. \( \left(3 + \frac{\pi}{2}\right) \) sq units
• D. \( \left(3 - \frac{\pi}{4}\right) \) sq units

Hint:

Convert modulus inequalities into geometric shapes to simplify area calculations.

Answer 1

The Correct Option is B