Gopal Krishna Gokhale: It was on the advice of Gopal Krishna Gokhale, who was known as Gandhiji's political mentor, that Gandhi traveled around British India to understand the various issues related to the country and the life of its people.
Bal Gangadhar Tilak, Bipin Chandra Pal and Lala Lajpat Rai: All of these three were nationalist leaders but they were not Gandhiji's political mentor, nor did they advise him to travel across the country.
On the same political outline map of India, two places related with the centres of revolt of 1857 one marked as A and B. Identify them and write their names on the lines marked near them.
(A) Delhi
(B) Calcutta
On the given political outline map of India, locate and label the following with appropriate signs:
(i) Amravati – Buddhist site
(ii) Varanasi – Ancient city
(iii) (a) Vijayanagara – An Empire of 14th century
OR
(iii) (b) Orissa – Territory of 14th century
A carpenter needs to make a wooden cuboidal box, closed from all sides, which has a square base and fixed volume. Since he is short of the paint required to paint the box on completion, he wants the surface area to be minimum.
On the basis of the above information, answer the following questions :
Find \( \frac{dS}{dx} \).
Let \( \vec{a} \) and \( \vec{b} \) be two co-initial vectors forming adjacent sides of a parallelogram such that:
\[
|\vec{a}| = 10, \quad |\vec{b}| = 2, \quad \vec{a} \cdot \vec{b} = 12
\]
Find the area of the parallelogram.
“बिसनाथ को अपने गाँव बिस्कोहर से जो लगाव है वह मूलतः मनुष्य की अपनी स्मृतियों के प्रति लगाव का ही एक रूप है।” ‘बिस्कोहर की माटी’ पाठ के आधार पर सोदाहरण टिप्पणी कीजिए।