Explanation

Cartography is the science and art of creating maps to represent geographical areas.

It includes designing, drawing, and interpreting maps for navigation and study.

Explanation

Akbar introduced an efficient and fair tax system called the Zabt system based on land measurement.

It increased revenue collection and reduced corruption, becoming a model for future administrations.

Explanation

Nadar Shah of Persia invaded India in 1739 during Muhammad Shah's reign.

He defeated the Mughals at the Battle of Karnal and looted Delhi, taking the Peacock Throne and Koh-i-Noor diamond.

Explanation

Given:

a + b = 4

ab = 3

The formula for a^3 + b^3 is:

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

However, a simpler approach uses the identity:

a^3 + b^3 = (a + b)^3 - 3ab(a + b)

Plugging in the values:

a^3 + b^3 = (4)^3 - 3(3)(4)

= 64 - 36

= 28

Explanation

Given:

logx(0.001) = -3

This can be rewritten as:

x^(-3) = 0.001

0.001 = 10^(-3)

So:

x^(-3) = 10^(-3)

This implies:

x = 10

Explanation

The calculation confirms that:

3i(2 + 5i) = 6i + 15i^2

= 6i - 15

Comparing this to x + 6i:

x = -15

Explanation

Coterminal angles differ by full rotations of 360°.

To find a coterminal angle of -60°, add or subtract 360°:

-60° + (-360°) = -420° → This is coterminal with -60°.

So, -420° and -60° share the same terminal side.

Explanation

Universal set (U) = {1, 2, 3, 4, 5, 6}

Set A = {2, 3}

Complement of A means all elements in U that are not in A → {1, 4, 5, 6}

Explanation

فتح مکہ کے موقع پر حضرت عباس رضی اللہ عنہ کی سفارش پر حضور اکرم صلی اللہ علیہ وآلہ وسلم نے ابو سفیان کو معاف فرما دیا۔

حضرت عباس، نبی اکرم صلی اللہ علیہ وآلہ وسلم کے چچا تھے اور ابو سفیان کو اسلام قبول کرنے میں بھی ان کا اہم کردار تھا۔

Explanation

حضرت بابا فرید الدین گنج شکرؒ، سلسلہ چشتیہ کے مشہور بزرگ تھے۔

ان کے مرشد خواجہ قطب الدین بختیار کاکیؒ تھے، جو خود خواجہ معین الدین چشتیؒ کے خلیفہ تھے۔