Explanation

Explanation

• The adjective “fond” is commonly followed by the preposition “of.”
• “Fond of” means liking something very much.

Last verified on 08-05-2026

Explanation

• Lahore Resolution passed on 23 March 1940.
• Venue: Minto Park, Lahore (now Iqbal Park)
• Moved by: A.K. Fazlul Huq
• Among them, Chaudhry Khaliquzzaman is widely recorded as a seconder.

Last verified on 08-05-2026

Explanation

• The verb “insist” is commonly followed by the preposition “on.”
• “Insist on” means to strongly demand or firmly maintain something.

Last verified on 08-05-2026

Explanation

• Area of triangle = ½ × base × height.
• If base is doubled and height remains same, area also doubles.
• So, new area becomes 2 times the original area.

Last verified on 08-05-2026

Explanation

a² + b² = 50  

5² + b² = 50  

25 + b² = 50  

b² = 25  

b = ±5  

Last verified on 08-05-2026

Explanation

• If the sum of two sides of a triangle equals the third side, the points become collinear.
• Such a “triangle” becomes degenerate and forms a straight line.
• So, it does not make a proper triangle shape.

Last verified on 08-05-2026

Explanation

Problem: (5x + 3)/(x(x + 1))

Step 1: Set up  

(5x + 3)/(x(x + 1)) = A/x + B/(x + 1)

Step 2: Find A  

Put x = 0 in (5x + 3)/(x + 1)  

(5_0 + 3)/(0 + 1) = 3/1 = 3  

So A = 3

Step 3: Find B  

Put x = -1 in (5x + 3)/x  

(5_-1 + 3)/(-1) = (-5 + 3)/(-1) = -2/-1 = 2  

So B = 2

Answer: 3/x + 2/(x + 1)

Last verified on 08-05-2026

Explanation

f(2) = 2² - 2 = 4 - 2 = 2  

f(1) = 1² - 1 = 1 - 1 = 0  

f(2) - f(1) = 2 - 0 = 2  

Last verified on 08-05-2026

Explanation

y ∝ x means y = kx  

Find k: 10 = k(2) → k = 5  

So y = 5x  

When x = 7: y = 5(7) = 35  

Last verified on 08-05-2026