The Prarthana Samaj, or ”Prayer Society,” was a reformist religious and social movement established in 1867 by Dr. Atmaram Pandurang and Keshab Chunder Sen in Bombay (now Mumbai). The movement’s primary goal was to reform Hindu society by promoting social progress and challenging the rigidities of traditional practices.
Key Features of Prarthana Samaj:
While the Prarthana Samaj’s focus was on religious reform, it also worked toward improving the socio-economic conditions of Indian society by addressing issues such as caste discrimination, the dowry system, and illiteracy.
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: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]