Explanation

• An angle inscribed in a semicircle is always 90° due to the Thales' Theorem.
• It is called a right angle because the angle subtended by a diameter is always right.

Last verified on 06-05-2026

Explanation

1. The Quran
2. The Sunnah (traditions of the Prophet Muhammad SAW)
3. Ijma (consensus among Muslim jurists)
4. Qiyas (analogy)

Last verified on 30-04-2026

Explanation

Given that the radius of a circle is increased to twice its original length

We have to find the increase in the area of the circle

Area of circle = πr²

Where r is the radius of the circle

Now, r = 2r

Area of circle = π(2r)²

= 4πr²

Last updated by NA on 27 April 2026

Explanation

• The verbal meaning of “Zakat” is Purification.
• It comes from the Arabic root meaning “to purify” and “to grow”.
• In Islam, Zakat purifies wealth and increases blessings.
• It is the 3rd fundamental pillar of Islam.
• It was made compulsory in 2 AH.
• It is mentioned 32 times in the Holy Quran.

Last verified on 25-04-2026

Explanation

Compare the probabilities:  

Getting odd on die = 0.33

Getting head on coin = 0.50

0.50 > 0.33, so getting a head is more likely.

Last verified on 14-04-2026

Explanation

t⁴ - 16 = (t²)² - 4² = (t² - 4)(t² + 4) = (t - 2)(t + 2)(t² + 4)

(t² + 4)(t + 2)(t - 2)

Last verified on 14-04-2026

Explanation

Area of flag = 3 m × 2 m = 6 m²  

Cost = 6 × Rs. 75 = Rs. 450  

Last verified on 14-04-2026

Explanation

For x² - 4x + m to be a complete square, it must match (x - a)² = x² - 2ax + a²  

Compare: -2a = -4 → a = 2  

So m = a² = 2² = 4  

Check: x² - 4x + 4 = (x - 2)²  

Last verified on 14-04-2026

Explanation

Rate = distance / time  

Distance = 500 m = 0.5 km  

Time = 50 min = 50/60 hr = 5/6 hr  

Speed = 0.5 ÷ (5/6) = 0.5 × 6/5 = 3/5 = 0.6 km/hr  

Last verified on 14-04-2026

Explanation

• The most frequently occurring value in a dataset is called mode.
• It represents the most common data point.
• It can be one mode, more than one, or no mode.
• Mean = average value
• Median = middle value

Last verified on 14-04-2026