Question
Download Solution PDFयदि (a + b + c) = 16, और (a2 + b2 + c2) = 90 है, तो (ab + bc + ca) का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है
(a + b + c) = 16
(a2 + b2 + c2) = 90
प्रयुक्त सूत्र
(a + b + c)2 = (a2 + b2 + c2) + 2(ab + bc + ca)
गणना
162 = 90 + 2(ab + bc + ca)
⇒ 256 - 90 = 2(ab + bc + ca)
⇒ 166 = 2(ab + bc + ca)
⇒ (ab + bc + ca) = 166/2
⇒ (ab + bc + ca) = 83
मान 83 है।
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