NDA Mathematics Question (2026) — Solution

Step-by-step solution

Equating the two given curves y = x^2 and y = 2|x|: x^2 = 2|x| Since x^2 = |x|^2, the equation becomes: |x|^2 - 2|x| = 0 |x|(|x| - 2) = 0 This gives |x| = 0 or |x| = 2. Solving for x, we get x = 0, x = 2, and x = -2. The corresponding points of intersection are (0, 0), (2, 4), and (-2, 4). The number of points of intersection is 3. Answer: 3