Question
Download Solution PDFif m ≠ n = m2 - mn + n2 and m ? n = (m + n)2 - (A) (B) - mn then (2 ? 3) ≠ (5 ≠ 3) =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
if m ≠ n = m2 - mn + n2 and m ? n = (m + n)2 - (A) (B) - mn then (2 ? 3) ≠ (5 ≠ 3) =
Formula used:
m ≠ n = m2 - mn + n2
m ? n = (m + n)2 - (A) (B) - mn
Calculations:
(5 ≠ 3)
⇒ 52 - 5×3 + 32
⇒ 25 - 15 + 9
⇒ 19
(2 ? 3)
⇒ (2 + 3)2 - (A) (B) - 2×3
⇒ 52 - (A) (B) - 6
⇒ 25 - (A) (B) - 6
⇒ 19 - (A) (B)
(2 ? 3) ≠ 19
⇒ (19 - (A) (B)) ≠ 19
⇒ 192 - 19×19 + 192
⇒ 361
∴ The correct answer is option (4).
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