QA – Placement Quizzes | Ratio and Proportion | Question 7

If (x:y) = 2:1, then (x²-y²):(x²+y²) = __ ?
(A) 1:2
(B) 3:5
(C) 2:1
(D) 5:4


Answer: (B)

Explanation: Given, x:y = 2:1 ⇒ x²:y² = 4:1.
Then, (x²+y²):(x²-y²) = (4+1)/(4-1) [by applying Componendo & Dividendo].
⇒ (x²-y²):(x²+y²) = 3/5.

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