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📐 Mathematics  ·  Complex Numbers and Quadratic Equations  ·  JEE

In the Argand plane, the complex number 3 + 4i corresponds to the point:

Answer: (3,4).

  • A (4,3)
  • B (3,4)
  • C (-3,4)
  • D (3,-4)

Correct answer: B. (3,4)

Explanation: z = a+ib is plotted as (a, b) in the Argand plane. So 3+4i is at (3, 4).

Argand Plane: z = a + ibReImz = a+iba (real part)b (imaginary part)θ = arg(z)|z| = length of the vector OZ = √(a²+b²); θ = angle OZ makes with the positive real axis

A complex number z = a+ib is plotted as a point (or vector from the origin) on the Argand plane, with the real part along the horizontal axis and the imaginary part along the vertical; its modulus |z| is the vector's length, and its argument θ is the angle from the positive real axis.

Concept context

Complex numbers in a+ib form, modulus, argument, polar form, cube roots of unity, and quadratic equations with complex roots

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