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UGC-NET-Paper1

Maths

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Two numbers are such that their product s equal to 21 and the sum of their squares is 58. find the difference between the two numbers

1. 4
2. 5
3. 6
4. 8

दो संख्याए ऐसी है कि उनका गुणनफल 21 के बराबर है और उनके वर्गों का योग्य 58 है। दो संख्याओं के बीच अंतर ज्ञात करें।

1. 4
2. 5
3. 6
4. 8
This Question came in
UGC-NET-Education-19-June-2023-Shift-1-Q43
UGC-NET Paper 1 Full Course

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Detailed Explanation & Answer
let's assume the two numbers be x and y
factors of the number 21 are 3 and 7.

Now put them according to the information provided in the question,
xy = 21
=> 3x7 = 21 (satisfies)

(x^2 + Y^2) = 58
=> (3^2+7^2) = 9 + 49 = 58. (satisfies)

hence the both the given conditions satisfies, x = 3 and y = 7
the difference between 3 and 7
7-3 = 4.
मान लीजिए कि दो संख्याएँ x और y हैं
संख्या 21 के गुणनखंड 3 और 7 हैं।

अब इन्हें प्रश्न में दी गई जानकारी के अनुसार डालें,
xy = 21
=> 3x7 = 21 (संतुष्ट)

(x^2 + Y^2) = 58
=> (3^2+7^2) = 9 + 49 = 58. (संतुष्ट)

इसलिए दी गई दोनों शर्तें संतुष्ट होती हैं, x = 3 और y = 7
3 और 7 के बीच का अंतर
7-3 = 4.
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