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Question
If (3i - 2)² + (5i + 6)² = a + ib, then what is the value of a + b?
यदि (3i - 2)²+ (5i + 6)² = a + ib है, तो a + b का मान क्या है?
A.
54
B.
44
C.
120
D.
48
Answer ( Option A)

54

Solution

 Key Points :-
अवधारणाः
(a + ib)² = a²-b² + 2abi
गणनाः
दिया गया व्यंजक है: (3i - 2)² + (5i + 6)² = a + ib
Rightarrow (3i - 2)² = - 5 - 12i
Rightarrow (5i + 6) ² = 11 + 60i
Rightarrow (3i - 2)² + (5i + 6) ² = (- 5 - 12i) + (11 + 60i) = 6 + 48i .
इसलिए a + ib = 6 + 48i
 जहाँ a = 6 और b = 48
 (a + b) का मान: 6+ 48 = 54

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