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Math Chapter Wise question with answer

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Q01 If 1 π x + = 2cos, x 5 then 5 5 1 x + x is equal to English · UP TGT 2021 Q02 If 1 2cos x x θ= + θ= + and 1 2cos y, y φ= + φ= + then the value of m n n m x y y x + + is: English · TGT 2009 Q03 If w is a complex cube root of unity, then 1 + ω + ω2 +... + ω100 is equal to: English · NVS PGT 2022 Q04 If () 12 1 3i + = x +iy then 1 12 y is equal to: English · NVS PGT 2022 Q05 If ω is cube root of unity, then 1 +ω + ω2 + ω3 +........+ ω52, ω ≠1 is equal to – English · UP PGT 2021 Q06 If i = –1, then (1 + i)4 – (1 – i)4 is equal to English · UP TGT 2021