3. ir 3x + 2iy is. then 51 - 2 8x +...
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3. ir 3x + 2iy is. then 51 - 2 8x + 3iy (a) x= 1, y = -3 (b) x=-1, y = 3 (c) X = 1, y = 3 (d) x=-1, y=-3 or x = 1, y = 3 15+12i + 15 - 127 J5 + 12i - JS - 121 The real part of (1 - cos 6 + 2i sin )-is 3+5 cos 0 5- 3 cos e 3-5 cos e 5+3 cos e 1 +2? -, then 6. If |z| = 1 and 2 = (a) z lies on a line not passing through origin (b) |Z| = V2 (c) Re (z') = 0 (d) Im (z') = 0 Ti sin y)

JEE/Engineering Exams
Maths
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( begin{aligned} 4 cdot frac{sqrt{5+12 i}+sqrt{5+2 i}}{sqrt{5+12 i}-sqrt{5-12 i}} timesleft(frac{sqrt{5+12 i}+sqrt{5-12 i}}{sqrt{5+12 i}+sqrt{5-12 i}}right) =&(5+12 i)+(5-12 i)+2 sqrt{52-(12 i)^{2}} 5+12 i-(5-12 i) &=frac{36}{24 i}=-frac{3}{2} i =& frac{10+2 sqrt{169}}{24 i}=-frac{1}{24} end{aligned} )
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