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# Test: Complex Number- 1

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

Description
This mock test of Test: Complex Number- 1 for Quant helps you for every Quant entrance exam. This contains 5 Multiple Choice Questions for Quant Test: Complex Number- 1 (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Complex Number- 1 quiz give you a good mix of easy questions and tough questions. Quant students definitely take this Test: Complex Number- 1 exercise for a better result in the exam. You can find other Test: Complex Number- 1 extra questions, long questions & short questions for Quant on EduRev as well by searching above.
QUESTION: 1

### If a,b (a≠b), are the real roots of the equation (k + 1)(x2 + x + 1)2 + (k - 1)(x4 + x2 + 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

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: