Explanation

During Ghazwa-e-Khandaq, Banu Quraizah was the only Jewish tribe remaining in Madina.

They broke their treaty with the Muslims during the battle, leading to a significant confrontation afterward.

Explanation

The study of triangles is called trigonometry.

This branch of mathematics focuses on the relationships between the angles and sides of triangles, particularly right-angled triangles

Explanation

 The cabinet was impelled to extreme measures."

"Impelled to" is a common phrase meaning to be driven or urged toward a particular action or decision.

Explanation

The phrase "so that" followed by "might" shows purpose in the past.

"I got up early so that I might cover..." is grammatically correct and formal in tone.

Explanation

An indirect reference to something else, often a historical event, work of art, or myth.

In poetry, allusions add depth and meaning by connecting the poem to something outside itself. 

Explanation

• Bill Gates was conferred upon Hilal-e-Pakistan on February 17, 2022
• ****
• President of Pakistan Dr. Arif Alvi conferred the Hilal-e-Pakistan award to Microsoft co-founder Bill Gates for his efforts
• Bill Gates has been conferred with Hilal-e-Pakistan, which is the 2nd highest civilian award in Pakistan.
• Bill Gates visited Pakistan for the first time on February 17, 2022
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• William Henry Gates III is an American business magnate, software developer, investor, author, and philanthropist.
• He is a co-founder of Microsoft, along with his late childhood friend Paul Allen. 
• Born: October 28, 1955
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Explanation

If4^a=8^b, find the ratio $frac{a}{b}$

Write both sides with base 2:

$$4^a = (2^2)^a = 2^{2a} \ 8^b = (2^3)^b = 2^{3b} Rightarrow 2^{2a} = 2^{3b} Rightarrow 2a = 3b Rightarrow frac{a}{b} = frac{3}{2}$$

⇒2^2a=2^3b⇒2a=3b⇒a​/b=3/2​

Explanation

 The preposition "on" is used to specify the exact date or day of the week, and it is also used when referring to a particular year.

Therefore, it is correct to say "born on August 19" and "born on 1990".

Explanation

"Information about people" is the correct prepositional phrase.

We use "about" to indicate the subject of the information.

Explanation

The phrase "passing marks" is the standard term used to describe the minimum required to pass.

"Passable" means acceptable in quality.