Correct Answer: Factors required for the success of democracy in India.
Beyond voting, citizens should stay informed, deliberate on public issues, volunteer, and hold representatives accountable. Participation keeps democracy vibrant and responsive.
Knowing fundamental rights (speech, equality, vote) and observing civic duties (lawfulness, respect for others’ rights, public spirit) creates a culture that sustains democratic institutions.
Effective governance with transparency, integrity, and answerability builds public trust and curbs corruption or abuse of power.
Uniform application of laws to all — including those in authority — ensures justice, rights protection, and fair dispute resolution.
A free press informs citizens and scrutinizes power; an independent judiciary safeguards rights and checks executive/legislative excesses. Together, they uphold accountability and constitutionalism.
India’s plural society requires embracing religious, linguistic, cultural diversity. Tolerance reduces conflict and ensures inclusive representation.
\[ \textbf{Summary: }\; \text{Participation} + \text{Rights \& Duties} + \text{Accountable Leadership} + \text{Rule of Law} + \text{Free Press/Judiciary} + \text{Respect for Diversity}. \]
Complete the following activity to prove that the sum of squares of diagonals of a rhombus is equal to the sum of the squares of the sides.
Given: PQRS is a rhombus. Diagonals PR and SQ intersect each other at point T.
To prove: PS\(^2\) + SR\(^2\) + QR\(^2\) + PQ\(^2\) = PR\(^2\) + QS\(^2\)
Activity: Diagonals of a rhombus bisect each other.
In \(\triangle\)PQS, PT is the median and in \(\triangle\)QRS, RT is the median.
\(\therefore\) by Apollonius theorem,
\[\begin{aligned} PQ^2 + PS^2 &= \boxed{\phantom{X}} + 2QT^2 \quad \dots \text{(I)} \\ QR^2 + SR^2 &= \boxed{\phantom{X}} + 2QT^2 \quad \dots \text{(II)} \\ \text{Adding (I) and (II),} \quad PQ^2 + PS^2 + QR^2 + SR^2 &= 2(PT^2 + \boxed{\phantom{X}}) + 4QT^2 \\ &= 2(PT^2 + \boxed{\phantom{X}}) + 4QT^2 \quad (\text{RT = PT}) \\ &= 4PT^2 + 4QT^2 \\ &= (\boxed{\phantom{X}})^2 + (2QT)^2 \\ \therefore \quad PQ^2 + PS^2 + QR^2 + SR^2 &= PR^2 + \boxed{\phantom{X}} \\ \end{aligned}\]