If the square of the sum of two numbers is equal to 4 times of their product. then the ratio of these numbers is:

Q: If the square of the sum of two numbers is equal to 4 times of their product. then the ratio of these numbers is:

Let the number be p and q. According to question, (p + q)2 = 4pq ⇒ p2 + q2 + 2pq – 4pq = 0 ⇒ (p – q)2 = 0 ⇒ p = q Hence , required ratio is 1 : 1 .

2 : 1
1 : 3
1 : 1
1 : 2

Correct Answer: 1 : 1

Explanation:

Let the number be p and q.
According to question,
(p + q)² = 4pq
⇒ p² + q² + 2pq – 4pq = 0
⇒ (p – q)² = 0
⇒ p = q
Hence , required ratio is 1 : 1 .

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