Explanation

If $a + 3b = 6$ and $ab=3$, then the value of $a^2 + 9b^2$ is:

We are given:

a+3b=6(1),ab=3(2)

$$$$a+3b=6(1),ab=3(2)

Now square equation (1):

$$(a + 3b)^2 = 6^2 = 36 Rightarrow a^2 + 9b^2 + 6ab = 36$$

Use $ab = 3$

$$a^2 + 9b^2 + 6(3) = 36 Rightarrow a^2 + 9b^2 + 18 = 36 Rightarrow a^2 + 9b^2 = 18$$

Explanation

A White Dwarf is the remnant of a low or medium-mass star (like our Sun) after it has exhausted its nuclear fuel (hydrogen and helium).

It no longer undergoes fusion and slowly cools over billions of years.

Explanation

The human eye is most sensitive to yellow-green in sunlight.

The sensitivity of the human eye to light of a given intensity varies widely over the wavelength range of 380-800 nm.

Explanation

Reverberation time is mainly influenced by:

• The volume of the room

• The absorptive properties of surfaces

• The number of sound-absorbing objects or people

While absorption can vary slightly with frequency, the frequency itself is not a primary controlling factor of reverberation time.

Explanation

The Battle of the Camel, also known as the Battle of Jamel or the Battle of Basra.

Explanation

Khyber was the main stronghold and settlement of Jewish tribes during the Meccan period of the Prophet Muhammad (SAW).

It was a well-fortified area north of Medina, known for its agricultural wealth and Jewish population.

Explanation

Hasina Wajid has served as Prime Minister of Bangladesh 4 times.

Her previous terms began in:

1. 1996–2001
2. 2009–2014
3. 2014–2018
4. 2019–2024

Explanation

Helium hydride (HeH+) was the first molecule discovered in space, identified in 2019 by astronomers.

It was found in a planetary nebula, marking a significant discovery in molecular chemistry in space.

Explanation

The Battle of Verdun took place in 1916, which was one of the major battles on the Western Front during World War I.

Romania declared war on the Central Powers in 1916.

Explanation

"When organisations encourage creativity and risk taking, the usual method of maintaining order and decorum are indeed shaken."

This makes sense as "encourage" aligns with fostering creativity, and "decorum" refers to maintaining order or proper conduct, which may be challenged in such environments.

Encourage means حوصلہ افزائی کریں

Decorum means سجاوٹ