Mathematics · Complex Numbers
Complex numbers z1 and z2 are (3 + 5i) and (5 + 7i) respectively. If the line segment joining z1 and z2 is rotated by 15° about z1 in the anticlockwise direction such that z2 becomes z3, then the value of z3 is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(4 - 6i)
- 2(3 + √2) + i(5 + √6)✓
- 3(4 + √2) + 6i
- 4(4 + 6i)
Correct answer
(3 + √2) + i(5 + √6)
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