Refer to BITSAT Mathematics Complex Numbers and Quadratic Equations MCQs provided below. BITSAT Full Syllabus Mathematics MCQs with answers available in Pdf for free download. The MCQ Questions for Full Syllabus Mathematics with answers have been prepared as per the latest syllabus, BITSAT books and examination pattern suggested in Full Syllabus by BITSAT, NCERT and KVS. Multiple Choice Questions for Complex Numbers and Quadratic Equations are an important part of exams for Full Syllabus Mathematics and if practiced properly can help you to get higher marks. Refer to more Chapter-wise MCQs for BITSAT Full Syllabus Mathematics and also download more latest study material for all subjects

## MCQ for Full Syllabus Mathematics Complex Numbers and Quadratic Equations

Full Syllabus Mathematics students should refer to the following multiple-choice questions with answers for Complex Numbers and Quadratic Equations in Full Syllabus. These MCQ questions with answers for Full Syllabus Mathematics will come in exams and help you to score good marks

### Complex Numbers and Quadratic Equations MCQ Questions Full Syllabus Mathematics with Answers

#### Question: If α and β are roots of the equation such that | α -β |= √10, then p belongs to the set :

- a) {2, – 5}
- b) {– 3, 2}
- c) {– 2, 5}
- d) {3, – 5}

**Answer: ****{– 2, 5}**

#### Question: If f(z) = where z = 1 + 2i, then |f(z)| is equal to :

- a)
- b) | z |
- c) 2 | z |
- d) None of these

**Answer: **

#### Question: If z1 = √3 + i √3 and z_{2} = √3 + i , then the complex number

#### lies in the :

- a) First quadrant
- b) Second quadrant
- c) Third quadrant
- d) Fourth quadrant

**Answer: First quadrant**

#### Question: If α, β are the roots of the equations x^{2} – 2x– 1 = 0, then what is the value of α^{2} β^{–2}+ α ^{–2} β^{2}

- a) –2
- b) 0
- c) 30
- d) 34

**Answer: 34**

#### Question: If a, b and c are real numbers then the roots of the equation (x – a) (x – b) + (x – b) (x – c)+ (x – c) (x – a) = 0 are always

- a) Real
- b) Imaginary
- c) Positive
- d) Negative

**Answer: Real**

#### Question: The root of the equation 2(1+ i)x^{ 2} - 4(2 - i)x - 5 - 3i = 0 which has greater modulus is

- a)
- b)
- c)
- d) None

**Answer:**

#### Question: If complex number z_{1}, z_{2} and 0 are vertices of equilateral triangle, then is equal to

- a) 0
- b) z
_{1}– z_{2} - c) z
_{1}+ z_{2} - d) 1

**Answer: ****0**

#### Question: Universal set

**What is (A ∩ B)' equal to ?**

- a) {1, 3}
- b) {1, 2, 3}
- c) {0, 1, 3}
- d) {0, 1, 2, 3}

**Answer: ****{0, 1, 3}**

#### Question: If z = x + iy, z^{1/ 3} = a – ib, then

#### where k is equal to

- a) 1
- b) 2
- c) 3
- d) 4

**Answer: ****4**

#### Question:

**when simplified has the value**

- a) 0
- b) 2i
- c) – 2i
- d) 2

**Answer: ****0**

#### Question: If the roots of x^{2} + x + a = 0 exceed a then

- a) 2 < a < 3
- b) a > 3
- c) – 3 < a < 3
- d) a < – 2

**Answer: ****a < – 2 **

#### Question: If the real part of

#### is 4, z ≠ 1, then the locus of the point representing z in the complex plane is

- a) A straight line parallel to x-axis
- b) A straight line equally inclined to axes
- c) A circle with radius 2
- d) a circle with radius

**Answer: ****a circle with radius **

#### Question: If α and β are the roots of x^{2} – x + 1 = 0, then the equation whose roots are α^{100} and β^{100} are

- a) x
^{2}– x + 1 = 0 - b) x
^{2}+ x – 1 = 0 - c) x
^{2}– x – 1 = 0 - d) x
^{2}+ x + 1 = 0

**Answer: ****x ^{2} + x + 1 = 0**

#### Question: The amplitude of sin

- a) π/5
- b) 2π/5
- c) π/10
- d) π/15

**Answer: ****π/10**

#### Question: If x = ω – ω^{2} –2, then the value of x^{4} + 3x^{3} + 2x^{2}– 11x – 6 is

- a) 1
- b) -1
- c) 2
- d) None of these

**Answer: ****1**

#### Question: If then A^{2} + B^{2} equals to

- a) 1
- b) α
^{2} - c) –1
- d) – α
^{2}

**Answer: ****1**

#### Question: If the expression x^{2} – 11x + a and x^{2} – 14x + 2a must have a common factor and a ≠0, then, the common factor is

- a) (x – 3)
- b) (x – 6)
- c) (x – 8)
- d) None of these

**Answer: ****(x – 8)**

#### Question: If α, β are the roots of the equation ax^{2} + bx + c = 0, then the roots of the equation ax^{2} + bx (x + 1)+ c (x + 1)^{2} = 0 are

- a) α – 1, β– 1
- b) α + 1, β + 1
- c)
- d)

**Answer:**

#### Question: If a > 0, aεR, z = a + 2i and z | z | – az + 1 = 0 then

- a) Z is always a positive real number
- b) Z is always a negative real number
- c) Z is purely imaginary number
- d) Such a complex z does not exist

**Answer: Such a complex z does not exist**

#### Question: The roots of the equation x^{2} – 2 √2 x + 1 = 0 are

- a) Real and different
- b) Imaginary and different
- c) Real and equal
- d) Rational and different

**Answer: Real and different**

#### Question: For the equation if the product of roots is zero, then the sum of roots is

- a) 0
- b)
- c)
- d)

**Answer:**

#### Question: If arg

**= arg(z _{2} ) , then**

- a) z
_{2}= kz_{1}^{–1}(k > 0) - b) z
_{2}= kz_{1}(k > 0) - c)
- d) None of these

**Answer: ****z _{2} = kz_{1}^{–1} (k > 0)**

#### Question: If

#### and arg(z_{1} z_{2}) = 0, then

- a) z
_{1}= z_{2} - b) |z
_{2}|^{2}= z_{1}z_{2} - c) z
_{1}z_{2}= 1 - d) None of these

**Answer: ****|z _{2}|^{2} = z_{1}z_{2}**

#### Question: Let a, b, c € R and ax² + bx + c = 0 has two negative roots, then –

- a) a, b, c are of same sign
- b) a, –b, c are of same sign
- c) a, b, –c are of same sign
- d) a, – c are of same sign

**Answer: a, b, c are of same sign**

#### Question: If z then value of arg (zi) is

- a) 0
- b)
- c)
- d)

**Answer:**

#### Question: Value of is

- a) cos 5θ + i sin 5θ
- b) cos 7θ + i sin 7θ
- c) cos 4θ + i sin 4θ
- d) cosθ + i sinθ

**Answer: ****cos 7θ + i sin 7θ**

#### Question: If the roots of the equation x^{2} + 2ax + b = 0 are real and differ by at most 2m, m ≠ 0 then b lies in the interval

- a) (a
^{2}-m^{2}, a^{ 2}) - b) [a
^{2}-m^{2}, a^{2}) - c) (a
^{ 2}, a^{2}+ m^{2}) - d) None of these

**Answer: ****[a ^{2} -m^{2} , a^{2} )**

#### Question: If the equation x^{2} + 2 (k + 1) x + 9k – 5 = 0 has only negative roots, then –

- a) k≤0
- b) k≥0
- c) k≥6
- d) k≤6

**Answer: ****k≥6**

#### Question: The value of the expression x^{4} – 8x^{3} – 8x + 2 when x = 2 + √3 is –

- a) 0
- b) 1
- c) 2
- d) 3

**Answer: ****1**

#### Question: If α,β are the roots of x^{2} + px + q = 0, and w is an imaginary cube root of unity, then value of (wα +w^{2}β) (w^{2}α+ wβ) is

- a) p
^{2} - b) 3q
- c) p
^{2}– 2q - d) p
^{2}– 3q

**Answer: ****p ^{2} – 3q**

## More Study Material

### BITSAT Full Syllabus Mathematics Complex Numbers and Quadratic Equations MCQs

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All MCQs given above for Full Syllabus Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Full Syllabus can refer to the answers which have been also provided by our teachers for all MCQs of Mathematics so that you are able to solve the questions and then compare your answers with the solutions provided by us. We have also provided lot of MCQ questions for Full Syllabus Mathematics so that you can solve questions relating to all topics given in each chapter. All study material for Full Syllabus Mathematics students have been given on studiestoday.

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Regular MCQs practice helps to gain more practice in solving questions to obtain a more comprehensive understanding of Complex Numbers and Quadratic Equations concepts. MCQs play an important role in developing understanding of Complex Numbers and Quadratic Equations in BITSAT Full Syllabus. Students can download and save or print all the MCQs, printable assignments, practice sheets of the above chapter in Full Syllabus Mathematics in Pdf format from studiestoday. You can print or read them online on your computer or mobile or any other device. After solving these you should also refer to Full Syllabus Mathematics MCQ Test for the same chapter

**BITSAT MCQs Mathematics Full Syllabus Complex Numbers and Quadratic Equations**

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Multiple Choice Questions (MCQs) for Complex Numbers and Quadratic Equations Full Syllabus Mathematics are objective-based questions which provide multiple answer options, and students are required to choose the correct answer from the given choices.