Test: Complex Number- 1


5 Questions MCQ Test Quantitative Aptitude (Quant) | Test: Complex Number- 1


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QUESTION: 1

If a,b (a≠b), are the real roots of the equation (k + 1)(x+ x + 1)+ (k - 1)(x+ x+ 1) = 0, k ≠ 1, 0. 

Then the product of the roots is

Solution:

Since the equation (x+  x + 1) = 0 . oes not have any real roots, the roots of the original equation will be the root of the equation (kx2 + x + k) = 0
 

Hence product of the roots = k/k = 1

QUESTION: 2

Polar form of a complex number is

Solution:
QUESTION: 3

|z1 + z2 | =

Solution:

|z1 + z2|= .
|z1| + |z2|= .

We have to prove that

 is true.
Square both sides.

Square both sides again.
2x1x2y1y2 ≦ x12y2y12x22 and we get
0 ≦ (y1x2 - x1y2)2.
It is true because x1, x2y1y2 are all real.

QUESTION: 4

|z1 - z2 | =

Solution:
QUESTION: 5

A2 + b2

Solution:

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