Explanation

A first person narrative uses "I" or "we", showing the story from the narrator's point of view.

The sentence "I could not believe what I had just seen" clearly uses first person ("I").

Explanation

In deep space far from massive objects, the gravitational pull becomes negligible, effectively making gravity zero.

This is why astronauts experience weightlessness in such regions.

Explanation

At a radio station, a person speaks into a microphone, which converts sound waves into electrical signals.

These signals are then processed and transmitted through an antenna to reach listeners.

Explanation

"Enough" is an adjective here because it describes how much practice the team had.

Adjectives modify nouns, and in this case, "enough" modifies "practice."

Explanation

A hyphen (–) is used in compound nouns like “brother-in-law” to join the words clearly.

It differs from a dash, which is longer and used to separate ideas in a sentence.

Explanation

Given:

1. Sum of roots: α + β = 2

2. Sum of cubes of roots: α³ + β³ = 98

Step-by-Step Solution

Step 1: Use the identity for α³ + β³

α³ + β³ = (α + β)³ - 3αβ(α + β)

Step 2: Substitute known values

98 = (2)³ - 3αβ(2)

98 = 8 - 6αβ

Step 3: Solve for αβ

98 - 8 = -6αβ

90 = -6αβ

αβ = -15

Step 4: Form the quadratic equation

x² - (α + β)x + αβ = 0

x² - 2x - 15 = 0

The answer is x² - 2x - 15 = 0.

Explanation

tan θ = sin θ/cos θ and cot θ = cos θ/sin θ

tan θ + cot θ = sin θ/cos θ + cot θ = cos θ/sin θ

= sin^2 θ + cos^2 θ/sin θ cos θ

= 1/sin θ cos θ (since sin² θ + cos² θ = 1)

Now, 1/sin θ cos θ = 1/sin θ × 1/cos θ = cosec θ × sec θ = sec θ cosec θ

The answer is sec θ cosec θ.

Explanation

The phrase "possibility of rain" best matches the modal verb "may", which indicates uncertainty or possibility.

"May" is the most appropriate and polite way to express weather-related predictions.

Explanation

"Study" is an anagram of "dusty" — both use the same letters rearranged.

Anagrams are words or phrases formed by reordering the letters of another word.

Explanation

Nuclear energy is released when the nucleus of an atom is split (fission) by a slow-moving neutron.

This process is used in nuclear reactors and atomic bombs to produce large amounts of energy.