The lines are perpendicular if the product of their slopes is -1, which can be verified from the equation.

The lines intersect at the origin and are not parallel, hence they are intersecting.

Completing the square shows that the lines intersect at two distinct points.

The equation can be factored as (x - 3y)^2 = 0, indicating that the lines are coincident.

The Little Ice Age led to cooler temperatures that adversely affected agricultural productivity in Europe, causing famines and social unrest.

Madrasahs were primarily focused on Islamic theology and jurisprudence, serving as centers for religious education.

The Magna Carta, signed in 1215, is significant for establishing the principle of the rule of law, limiting the powers of the king.

The magnetic field (B) due to a straight current-carrying conductor at a distance r is given by B = μ₀I/(2πr).

The magnetic field (B) at a distance r from a straight current-carrying conductor is given by B = μ₀I/2πr.

The magnetic field (B) inside a long solenoid is given by B = μ₀nI, where n is the number of turns per unit length and I is the current.

The magnetic field inside a long solenoid is uniform and parallel to the axis of the solenoid.

The magnetic field lines around a straight current-carrying conductor form concentric circles centered around the wire.

The magnetic field lines around a straight current-carrying conductor form concentric circles centered around the wire.

The magnetic field lines inside a bar magnet are directed from the North pole to the South pole.

The WHO, established in 1948, coordinates international health activities and responses to health emergencies.

The maximum displacement is defined as the amplitude.

The maximum displacement from the rest position is defined as the amplitude of the wave.

Maximum speed (v_max) = ωA => ω = v_max / A = 4 m/s / 2 m = 2 rad/s.

The maximum strength of the Lok Sabha is 550 members.

To find the maximum, we calculate f'(x) = -2x + 4. Setting f'(x) = 0 gives x = 2. Since f''(x) = -2 < 0, this is a maximum point.

The vertex form of a parabola gives the maximum value at x = -b/(2a) = 2. Evaluating f(2) = -2^2 + 4*2 + 1 = 9.

The vertex of the parabola given by f(x) = -x^2 + 4x + 1 occurs at x = -b/(2a) = -4/(-2) = 2, which gives the maximum value.

The mean free path is the average distance a molecule travels before colliding with another molecule.

Mean = (5 + 15 + 25 + x) / 4 = 20. Solving gives x = 30.

Mean = (7 + 9 + 11 + 13) / 4 = 40 / 4 = 10.

Mean = (8 + 12 + 16 + 20) / 4 = 56 / 4 = 14.

Standard deviation is the square root of variance. Therefore, SD = √4 = 2.

Coefficient of Variation = (Standard Deviation / Mean) * 100 = (5 / 50) * 100 = 10%.

Mean = (4 + 8 + 10 + 12 + x) / 5 = 10. Solving gives x = 14.

Let the other two numbers be a and b. Then, (10 + a + b) / 3 = 15. Solving gives (a + b) = 35, so Mean of a and b = 35 / 2 = 17.5.