Explanation

Hate and Rate are rhyming words with different meanings — they form a wordplay pair.

Path and Wrath also rhyme and have different meanings, matching the same relationship.

Explanation

Reflex actions are rapid, involuntary responses controlled by the spinal cord, a part of the central nervous system (CNS).

The brain may be informed, but the action is completed via the spinal reflex arc.

Explanation

Rose is a dicot plant, meaning it has two seed leaves (cotyledons) in its seed.

Maize and Bamboo are monocots, having only one seed leaf.

Explanation

The number of different types of gametes is calculated using the formula 2ⁿ, where n is the number of heterozygous gene pairs.

In genotype AaBb, there are 2 heterozygous pairs (A/a and B/b), so 2² = 4 types of gametes: AB, Ab, aB, ab.

Explanation

Charge is quantized and exists in discrete amounts.

The smallest possible charge is that of a single electron or proton, which is 1.6 × 10−¹⁹C.

Explanation

When two circles touch each other externally, they have a single point of contact.

The distance between their centers (C1C2) is equal to the sum of their radii (r1 + r2).

Explanation

When an object is placed at the principal focus (F) of a convex lens, the rays emerge parallel after refraction.

Parallel rays appear to meet at infinity, so the image is formed at infinity (very far away).

Explanation

Arrive : Depart is a pair of opposites.

Similarly, Use and Misuse are opposites — one is proper use, the other is wrong use.

Explanation

Given y = 2/x

Let's find the first and second derivatives:

dy/dx = -2/x²

d²y/dx² = 4/x³

Now, let's evaluate y + 1/2 * d²y/dx²:

y + 1/2 * d²y/dx² = 2/x + 1/2 * 4/x³

= 2/x + 2/x³

= (2x² + 2)/x³

= 2(x² + 1)/x³

= 2(1 + x²)/x³

Explanation

Networks are typically classified into four main types based on distance (geographical coverage):

1. PAN (Personal Area Network) – Very short distance (e.g., Bluetooth, USB connections).
2. LAN (Local Area Network) – Limited area (e.g., home, office, or school network).
3. MAN (Metropolitan Area Network) – City-wide coverage (e.g., ISP networks in a city).
4. WAN (Wide Area Network) – Large-scale, global reach (e.g., the Internet).