Complex Numbers and Quadratic Equations - Online Test
Q1. The number of solutions of the equation is
Answer : Option C
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Q2. Amp. then locus of z is
Answer : Option B
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Q3. If are non real complex numbers such that and , then
Answer : Option C
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Q4. The complex numbers sinx + i cos2x and cosx – i sin2x are conjugate to each other, for
Answer : Option B
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which is not possible.
Hence we can say there is no solution for the system of equations
Q5. The value of is
Answer : Option A
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Q6.
If is a complex a number such that then is
Answer : Option C
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Q7. The value of is
Answer : Option D
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Q8. If n is any integer, then is
Answer : Option B
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Now we can see for n=0,4,8....... the value of = 1
For n=1,5,9....... the value of =i
for n=2,6,10....... the value of =-1
for n=3,7,11....... the value of = -i
similarly for all negative integers also n takes any one value among 1 ,-1 , i ,-i
Q9. The points z = x + iy which satisfy the equation | z | = 1 lie on
Answer : Option B
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which is the equation of a circle whose centre is origin and radius = 1
Q10. The equation 
Answer : Option D
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