The discriminant of the quadratic equation is negative, indicating imaginary lines.

Rearranging gives (x-2)^2 + (y-2)^2 = 0, which represents two intersecting lines.

To determine the nature of the lines, we can rewrite the equation in the form of (x - a)^2 + (y - b)^2 = r^2 and analyze the discriminant.

Rearranging gives (x-2)^2 + (y-3)^2 = 0, which represents a single point, hence the lines are coincident.

To determine the nature of the lines, we can find the slopes from the equation. The product of the slopes will help us conclude if they are perpendicular.

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

Since the coefficient of (x - 2)^2 is negative, the parabola opens downwards.

The equation y^2 = 12x indicates that the parabola opens to the right since it is in the form y^2 = 4px.

Ratio = 545:245 = 11:5.

Total members = Members in Lok Sabha + Members in Rajya Sabha = 545 + 245 = 790.

The stigma is the part of the pistil that receives pollen during fertilization.

The Parthenon is dedicated to Athena, the goddess of wisdom and warfare, and is a quintessential example of ancient Greek architecture.

Perimeter = 4 × side. Therefore, side = Perimeter / 4 = 40 cm / 4 = 10 cm.

Perimeter of a square = 4 × side. Therefore, side = 64 cm / 4 = 16 cm.

In an equilateral triangle, all sides are equal. Therefore, each side = Perimeter / 3 = 36 / 3 = 12 cm.

The phenomenon of a liquid rising in a narrow tube is called capillarity.

Diffraction is the bending of light waves around obstacles and openings.

Diffraction is the bending of light waves around obstacles and openings.

Capillary action occurs due to the combination of surface tension (which pulls the liquid up) and adhesion (which attracts the liquid to the walls of the tube).

Electromagnetic induction was discovered by Michael Faraday.

The phenomenon of liquid rising in a narrow tube is called capillarity.

Surface tension arises from cohesive forces between liquid molecules.

The context of philosophical discussions often revolves around inner fulfillment, making option 1 the best fit.

Utilitarianism is most closely associated with John Stuart Mill, who expanded on Jeremy Bentham's ideas about maximizing happiness.

The 'Allegory of the Cave' is found in 'The Republic', illustrating the difference between the world of appearances and the world of reality.

'Tabula Rasa' is the theory that individuals are born as blank slates, with knowledge and personality shaped by experience.

A 'double-edged sword' implies that something has both positive and negative consequences, which aligns with the discussion in the passage.

The phrase 'a double-edged sword' indicates that the author acknowledges both the benefits and drawbacks of the topic.

A 'double-edged sword' implies that something can have both beneficial and harmful consequences.

'In the limelight' means to be in a position of public attention or prominence.