Question
Download Solution PDFयदि 2a + 3b = 10 और ab = 3 है, तो 4a2 + 9b2 का मान ज्ञात करें।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
2a + 3b = 10
ab = 3
प्रयुक्त अवधारणा:
(a + b)2 = a2 + b2 + 2ab
गणना:
2a + 3b = 10
⇒ (2a + 3b)2 = 102
⇒ 4a2 + 9b2 + 12ab = 100
⇒ 4a2 + 9b2 + 36 = 100
⇒ 4a2 + 9b2 = 100 - 36
⇒ 4a2 + 9b2 = 64
∴ अभीष्ट उत्तर 64 है।
Last updated on Jul 14, 2025
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