Corrected Pairs:
Step 1: The headquarters of CENTO (Central Treaty Organization) is located in Ankara, Turkey.
Step 2: The correct location for the SAARC (South Asian Association for Regional Cooperation) headquarters is Kathmandu, Nepal, not New Delhi.
Step 3: The Commonwealth Secretariat is situated in London, while NATO’s headquarters is in Brussels, Belgium, not Paris.
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: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]