The third proportional to (x² - y²) and (x - y) is:

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 1)

Answer 1

Given:

First number (a) = (x2 - y2)

Second number (b) = (x - y)

Formula used:

Third proportional = {2nd number (b)}²/first number (a)

(x2 - y2) = (x - y) × (x + y)

Calculation:

Third proportional = (x - y)²/(x2 - y2)

⇒ {(x - y) ×(x - y)}/{(x - y) × (x + y)}

⇒ \(\rm \frac{x-y}{x+y}\)

∴ The correct answer is \(\rm \frac{x-y}{x+y}\).