The inverse of a function is symmetric to the original function about the line y = x, provided the original function is one-to-one.

The law of conservation of energy states that energy can be transformed from one form to another, but cannot be created or destroyed.

30 is a multiple of 5, as it can be expressed as 5 multiplied by 6.

The photoelectric effect shows that only light above a certain frequency can cause the emission of electrons, regardless of intensity.

In the quantum mechanical model, electrons are described by wave functions, which give the probability of finding an electron in a certain region.

The Rajya Sabha is the upper house of the Parliament of India and represents the States and Union territories, not the State Legislature.

The rate of reaction generally increases with increasing concentration of reactants.

The sequence defined by a_n = 3n + 1 has a constant difference between consecutive terms, hence it is an arithmetic sequence.

The series is a geometric series with a common ratio of 1/2.

The series consists of perfect squares: 1^2, 2^2, 3^2, 4^2, 5^2.

Ksp is temperature dependent; it changes with temperature.

The uncertainty principle states that position and momentum cannot be known simultaneously with arbitrary precision in quantum mechanics.

The union of two sets combines all unique elements from both sets.

Viscosity generally decreases with an increase in temperature.

Thermal conductivity is a measure of a material's ability to conduct heat; it varies with material type.

Torque depends on the angle of application, as it is calculated using τ = F × d × sin(θ).

Total internal reflection requires that the light travels from a denser medium to a rarer medium, making the second statement true.

The sum of the angles in any triangle is always 180 degrees, which is a fundamental property of triangles.

The mixed graph reveals that variable J exhibits a cyclical pattern, indicating periodic fluctuations over time.

Viscosity is a scalar quantity that measures a fluid's resistance to flow.

Weak acids do not completely dissociate in solution and typically have a higher pKa value compared to strong acids.

X-rays are a form of electromagnetic radiation, similar to visible light but with much higher energy and shorter wavelength.

The author argues that systemic inequalities require collective action to address effectively.

Sustainable Development emphasizes balancing economic growth with environmental protection and social equity.

The British education system led to the emergence of a new educated middle class that played a crucial role in the socio-political landscape of India.

The Gupta Empire (c. 320-550 CE) is often referred to as the Golden Age of India due to its remarkable achievements in various fields such as mathematics, astronomy, and literature, which flourished during this period.

Diverse teams bring different perspectives and ideas, which can enhance creativity and problem-solving.

A facilitator's primary role is to guide discussions and ensure that all team members contribute.

A team leader should facilitate discussions and encourage participation to foster a collaborative environment and ensure all voices are heard.

NGOs in India during the 20th century were instrumental in advocating for women's rights and education, significantly contributing to social reform.