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यदि a : b = 2 : 3 तथा b : c = 4 : 5, तो a2 : b2 : bc = ?
- a)4 : 9 : 45
- b)16 : 36 : 45
- c)16 : 36 : 20
- d)4 : 36 : 40
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
यदि a : b = 2 : 3 तथा b : c = 4 : 5, तो a2 : b2 : bc = ?a)4 : 9 : 45b)...
c) 16 : 36 : 20. यदि हम a2 : b2 : bc का मान ज्ञात करने के लिए दिए गए अनुपातों का उपयोग करते हैं, तो हम निम्नलिखित समीकरण स्थापित कर सकते हैं:
(a : b)2 = (2 : 3)2
a2 : b2 = 4 : 9
और
(b : c)2 = (4 : 5)2
b2 : c2 = 16 : 25
फिर हम a2 : b2 : bc का मान ज्ञात करने के लिए इन दो समीकरणों को जोड़ सकते हैं:
a2 : b2 : bc = 4 : 9 : 16
a2 : b2 : bc = 4 : 9 : 25
a2 : b2 : bc = 4 : 9 : (4 x 5)
a2 : b2 : bc = 4 : 9 : 20
इसलिए, सही उत्तर है ग) 16 : 36 : 20।
Most Upvoted Answer
यदि a : b = 2 : 3 तथा b : c = 4 : 5, तो a2 : b2 : bc = ?a)4 : 9 : 45b)...
Given, a : b = 2 : 3 and b : c = 4 : 5
To find, a^2 : b^2 : bc
Solution:
Let's assume the value of b as a constant to make the calculation easier.
Let b = 12 (LCM of 3 and 4)
Then, a = 8 (2/5 * 12)
And c = 15 (5/4 * 12)
Now, we can substitute the values of a, b, and c in the expression a^2 : b^2 : bc
a^2 : b^2 : bc = 8^2 : 12^2 : 12 * 15
a^2 : b^2 : bc = 64 : 144 : 180
Divide all the ratios by 4, we get
a^2 : b^2 : bc = 16 : 36 : 45
Therefore, the correct answer is option B.
To find, a^2 : b^2 : bc
Solution:
Let's assume the value of b as a constant to make the calculation easier.
Let b = 12 (LCM of 3 and 4)
Then, a = 8 (2/5 * 12)
And c = 15 (5/4 * 12)
Now, we can substitute the values of a, b, and c in the expression a^2 : b^2 : bc
a^2 : b^2 : bc = 8^2 : 12^2 : 12 * 15
a^2 : b^2 : bc = 64 : 144 : 180
Divide all the ratios by 4, we get
a^2 : b^2 : bc = 16 : 36 : 45
Therefore, the correct answer is option B.
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यदि a : b = 2 : 3 तथा b : c = 4 : 5, तो a2 : b2 : bc = ?a)4 : 9 : 45b)16 : 36 : 45c)16 : 36 : 20d)4 : 36 : 40Correct answer is option 'B'. Can you explain this answer?
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यदि a : b = 2 : 3 तथा b : c = 4 : 5, तो a2 : b2 : bc = ?a)4 : 9 : 45b)16 : 36 : 45c)16 : 36 : 20d)4 : 36 : 40Correct answer is option 'B'. Can you explain this answer? for SSC JE 2024 is part of SSC JE preparation. The Question and answers have been prepared according to the SSC JE exam syllabus. Information about यदि a : b = 2 : 3 तथा b : c = 4 : 5, तो a2 : b2 : bc = ?a)4 : 9 : 45b)16 : 36 : 45c)16 : 36 : 20d)4 : 36 : 40Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC JE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for यदि a : b = 2 : 3 तथा b : c = 4 : 5, तो a2 : b2 : bc = ?a)4 : 9 : 45b)16 : 36 : 45c)16 : 36 : 20d)4 : 36 : 40Correct answer is option 'B'. Can you explain this answer?.
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