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Find the general value of x if the expre...

Find the general value of x if the expression `(sin ""(x)/(2) + cos"" (x)/(2) + itan x)/( 1 + 2isin "" (x)/(2))` is real .

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B, D
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AAKASH SERIES-COMPLEX NUMBERS-ADDITIONAL EXERCISE
  1. If z(1) , z(2) are two complex numbers satisfying |(z(1) - 3z(2))/(3 -...

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  2. If (1 + cos theta + isin theta) (1 + cos 2 theta + isin 2theta) = x + ...

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  3. Find the general value of x if the expression (sin ""(x)/(2) + cos"" (...

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  4. Find the area of the triangle whose vertices are the roots of z^(3) + ...

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  5. If a and b are real numbers between 0 and 1 such that z(1) = a + i and...

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  6. If z(1) , z(2) are complex numbers and if |z(1) + z(2)| = |z(1) - z(2)...

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  7. If z(1) , z(2) are complex numbers and if |z(1) + z(2)| = |z(1)| - |z(...

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  8. Let z,w be complex number such that barz+ibarw=0 and arg zw =pi . Then...

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  9. If z and omega are two non-zero complex numbers such that |zomega| =1...

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  10. Find the nature of the triangle with vertices z(1) , z(2) , z(3) satis...

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  11. Find the number of solutions of the equation z^(2) + |z|^(2) = 0

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  12. Find the solutions of the equation z^(2) + |z| = 0.

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  13. If |z - (2)/(z)| = 1 then find the maximum value of |z|.

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  14. If z(1)=-1 and z(2)=-i, then find Arg (z(1)z(2))

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  15. If z = (x + iy) and if the point P in the Argand plane represents z , ...

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  16. If z=(x+iy) and if the point P in the Argarand plane represent z, then...

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  17. If z = (x + iy) and if the point P in the Argand plane represents z , ...

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