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If three complex number are in A.P then ...

If three complex number are in A.P then they lie on

A

Circle

B

Parabola

C

Straight line

D

ellipse

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. If omega = sqrt(z^(2) - 1) where omega is a cube root of unity and z =...

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  2. If x(n) = omega^(n) + (1)/(omega^(n)) then x(1) x(2) x(3)…, x(12) =

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  3. If three complex number are in A.P then they lie on

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  4. The maximum value of |3z + 9 - 7i| if |z + 2- i| = 5 is

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  5. I: The modulus of (sqrt3 + i)/((1 + i) (1 + sqrt3i)) is (1)/(sqrt2) ...

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  6. I: If a and b are positive real numbers then sqrt(-a) xx sqrt(-b) = -s...

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  7. I : The number of solutions of the equation z^(2) + |z|^(2) = 0 is 2 ...

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  8. z(1) = 1 +i , z(2) = -sqrt3 + i , z(3) = 1 + sqrt3i , z(4) = 1 - i A...

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  9. Match the following:

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  10. (A) : The mod amplitude form of (1 + 7i)/((2- i)^(2)) is sqrt2 c is (3...

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  11. (A) : If |z+ 1| - |z - 1| = (3)/(2) then least value of |z| is 3/4 (...

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  12. ((1+i)/(1-i))^4+((1-i)/(1+i))^4=

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  13. If a complex number z satisfies |z|^(2)+1=|z^(2)-1|, then the locus of...

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  14. For all complex numbers z(1) , z(1) satisfying |z(1)| = 12 and |z(2) -...

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  15. If |z + 2i| le 1 and z(1) = 6-3i then the maximum value of |iz + z(1) ...

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  16. The number of real roots of the equation z^(3)+iz-1=0 is

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  17. If omega ne 1 is a cube root of unity satisfying (1)/(a + w) + (1)/(...

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  18. The roots of the cubic equation (z + alpha beta)^(3) = alpha^(3) , alp...

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  19. If |z- 25i| le 15 , then |maximum arg (z) - minimum arg (z)| equals

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  20. The complex number z =1 + i is rotated through an angle 3pi//2 in anti...

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