The Youth Policy of the Government of India is designed to address the needs, aspirations, and challenges faced by the country’s youth. It focuses on empowering young individuals to contribute positively to society and the nation’s progress. Various government initiatives and programs have been launched to ensure the comprehensive development of young people.
Key Features of the Youth Policy:
The Youth Policy is periodically updated to meet the changing needs of India’s youth and address emerging challenges such as unemployment, mental health concerns, and the effects of technology on young people.
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.
Solve the following L.P.P. by graphical method:
Maximize:
\[ z = 10x + 25y. \] Subject to: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]