The first session of the Indian National Congress (INC) was held in December 1885 in Bombay (now Mumbai) at the Gokuldas Tejpal Sanskrit College. The INC was founded with the primary aim of securing greater Indian representation in the British Government and addressing the political and social issues faced by Indians under colonial rule.
In conclusion, the first session of the Indian National Congress laid the foundation for the growth of a national political movement that would later play a significant role in the Indian struggle for independence.
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: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]