41 verified questions · ~62 minutes · answer key checked against the official NTA final key across multiple sources. Text-only questions (diagram-based excluded until they can be shown properly).
The corner points of the feasible region determined by x + y ≤ 8, 2x + y ≥ 8, x ≥ 0, y ≥ 0 are A(0, 8), B(4, 0) and C(8, 0). If the objective function Z = ax + by has its maximum value on the line segment AB, then the relation between a and b is :
If t = e^(2x) and y = log_e(t²), then d²y/dx² is :
Answers are revealed after you attempt — that's what makes the diagnosis honest.