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ICSE-COMPLEX NUMBERS-Chapter Test
- Write the conjugate of i^(7)
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- Find the square root of 5-12i
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- Find the locus of a complex number z=x +yi, satisfying the relation |z...
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- Express (13i)/(2-3i) in the form A + Bi
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- If z= x +yi and (|z-1-i|+4)/(3|z-1-i|-2)=1, show that x^(2) + y^(2) -2...
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- If omega and omega^(2) are cube roots of unity, prove that (2- omega +...
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- If z(1), z(2) in C (set of complex numbers), prove that |z(1) + z(2)| ...
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- If z = x + yi, omega = (2-iz)/(2z-i) and |omega|=1, find the locus of ...
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- Simplify: (1- 3omega + omega^(2)) (1 + omega- 3omega^(2))
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- Find the locus of z satisfying |(z-3)/(z+1)|=3 in the complex plane.
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- Given that (2 sqrt3 cos 30^(@) - 2i sin 30^(@))/(sqrt2 (cos 45^(@) + i...
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- Simplify : (1- omega) (1- omega^(2)) (1- omega^(4)) (1- omega^(8))
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- Find the locus of a complex number z= x + yi, satisfying the relation ...
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- Find the real values of x and y satisfying the equality (x-2 + (y-3)i)...
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- If i= (sqrt-1), prove that following (x+1+i) (x+ 1-i) (x-1-i) (x-1+ i)...
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- If z= x + yi and |2z + 1| = |z- 2i|, show that 3(x^(2) + y^(2)) + 4(x-...
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- Find the amplitude of the complex number "sin" (6pi)/(5) + i (1- "cos"...
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- Express (1- 2i)/(2+i) + (3+i)/(2-i) in the form a + bi
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- Find the value of x and y given that (x + yi) (2-3i)=4+i
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- If the ratio (z-i)/(z-1) is purely imaginary, prove that the point z l...
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- If (-2 + sqrt-3) (-3 + 2 sqrt-3) = a + bi, find the real numbers a and...
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