Explanation

The correct preposition is "on" because the spider is attached to the surface of the ceiling.

"On the ceiling" means something is resting or moving along its surface.

Explanation

The Laplace equation is a 2nd order partial differential equation, given by:

∇²u = 0 or ∂²u/∂x² + ∂²u/∂y² + ∂²u/∂z² = 0

Explanation

Hazrat Ismael (AS) is called Abu-ul-Arab (Father of the Arabs) because Arab tribes trace their lineage through him.

He settled in Makkah and married into the Jurhum tribe, giving rise to Arab ancestry.

Explanation

Molar mass of CO₂ = 12 (C) + 16×2 (O) = 44 g/mol

Number of moles = Mass / Molar mass = 60 / 44 ≈ 1.364 mol

Explanation

The preposition "at" is used to indicate a specific time.

So, "I will come at 2 o'clock" is grammatically correct.

Explanation

The phrase "Allahumma fiqqih-hu fid Deen" is a du'a (supplication) meaning "O Allah, give him deep understanding of the religion."

It is often made for students or children to excel in religious knowledge.

This du'a (supplication) was made by the Prophet Muhammad ﷺ for Ibn Abbas (RA).

Explanation

Variance measures the spread of data around the mean.

For a constant number, all values are the same, so there is no variation, making variance 0.

Explanation

A sequence is a function whose domain is the set of natural numbers (1, 2, 3, ...).

Each natural number input gives a specific term in the sequence.

Explanation

Explanation

Halaf-ul-Fazool was a pact formed to promote justice and protect the oppressed in Makkah.

Hazrat Muhammad (PBUH) was 15 years old when the Harb-e-Fujjar (Sacrilegious War) took place.

آپ صلی اللہ علیہ وعلیٰ آلہ واصحابہ وسلم کی عمر مبارک جب پندرہ سال ہوئی تو عرب کے دو قبیلوں قریش اور قیس میں ایک بڑی خونریز جنگ ہوئی۔

اس جنگ میں بہت سے لوگ مارے گئے۔ یہ ان مہینوں میں لڑی گئی جن میں لڑنا حرام تھا۔ اس لیے اُسے ”حلف الفضول“ کے نام سے مشہور ہوا۔ آپ صلی اللہ علیہ وعلیٰ آلہ