NDA Maths Mock Test – 01 – Q16

Question:

If z = -{z} , then which one of the following is correct?

If z = -{z} , then which one of the following is correct?

Options:

  • The imaginary part of z is zero
  • The real part of z is equal to imaginary part of z
  • The real part of z is zero
  • The sum of real and imaginary parts of z is z
  • The imaginary part of z is zero
  • The real part of z is equal to imaginary part of z
  • The real part of z is zero
  • The sum of real and imaginary parts of z is z

Correct Answer: c)

Explanation:

i Gi√en that, z= —Z
‘ Letz=x+1iy ∞ i
I sti =—(@ ti) I
leccccccccccccccccccccccccccccccccccccee—e——=s
‘ (x+iy)=-(x-iy) -z=x +iy, Z =x – iy ‘
‘ = (x +1y) = (-x + iy)
1 =2x=0=x=0
‘ Hence, the real part of z is zero. ‘
117.
@(5cem, 20cm) !
‘

i Gi√en that, z= —Z
‘ Letz=x+1iy ∞ i
I sti =—(@ ti) I
leccccccccccccccccccccccccccccccccccccee—e——=s
‘ (x+iy)=-(x-iy) -z=x +iy, Z =x – iy ‘
‘ = (x +1y) = (-x + iy)
1 =2x=0=x=0
‘ Hence, the real part of z is zero. ‘
117.
@(5cem, 20cm) !
‘

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