Explanation

حجاج بن یوسف کا تعلق بنو ثقیف قبیلے سے تھا، جو طائف میں آباد تھا۔

وہ اموی خلافت کا ایک مشہور گورنر اور فوجی کمانڈر تھا۔

Explanation

In negative fractions, the greater the denominator (for the same numerator), the closer the fraction is to zero, making it larger.

Comparing:

• -1/3 = -0.333
• -2/3 = -0.666
• -4/9 = -0.444
• -5/6 = -0.833

-1/3 is the greatest among them as it is closest to zero.

Explanation

The phrase "I need to" expresses a requirement or necessity.

Modal verbs like "need to" indicate something essential or important.

Explanation

A noun clause functions as a noun and acts as the object of the verb "believe."

"Everything that you read in the newspaper" serves as the direct object of "believe," making it a noun clause.

Explanation

علامہ محمد اقبال نے اپنی شاعری میں نوجوانوں کو "شاہین" سے تشبیہ دی۔

انہوں نے شاہین کو خودداری، بلند پروازی اور جرأت کی علامت قرار دیا۔

Explanation

Explanation

Given equation: x^2 - 3kx + 4k^2 = 0.

Sum of roots = 3k, Product of roots = 4k^2.

Sum of squares of roots = (sum of roots)^2 - 2(product of roots)

= (3k)^2 - 2(4k^2)

= 9k^2 - 8k^2

= k^2.

Given sum of squares = one of the options.

If sum of squares = 1, then k^2 = 1, so k = ±1

Explanation

Shortwave radio operates in the high frequency (HF) band, typically between 3 MHz and 30 MHz.

The range 5.9 MHz to 26.1 MHz is commonly used for long-distance communication like international broadcasting.

Explanation

Fiber optics uses light to transmit data at high speeds through thin glass or plastic fibers.

It is mainly used in communication networks like internet, telephone, and cable TV.

Explanation

Let the smaller number be x.

The larger number is x + 2.

Given:

x² + (x + 2)² = 100

x² + x² + 4x + 4 = 100

2x² + 4x - 96 = 0

x² + 2x - 48 = 0

(x + 8)(x - 6) = 0

x = -8 or x = 6

If x = -8, larger number = -8 + 2 = -6

If x = 6, larger number = 6 + 2 = 8