Step 1: Vasco da Gama, the renowned Portuguese navigator, reached India in 1498, paving the way for a sea route to the Indian subcontinent.
Step 2: Junagadh, located in Saurashtra, was one of the princely states that initially hesitated to join India post-independence but eventually became a part of the country.
Step 3: The United Nations (UN) played a crucial role in supporting decolonisation after World War II, assisting numerous regions in their struggles for independence.
Step 4: Kolkata became the first Indian city to launch a metro railway system, with its inaugural service beginning in 1984.
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.
Explain the construction of a spherical wavefront by using Huygens' principle.
The perpendicular distance of the plane \( r \cdot (3\hat{i} + 4\hat{j} + 12\hat{k}) = 78 \) from the origin is __________.