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Free download in PDF Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries./p>
(1)
The real part of the complex number √9 + √(-16) is
[A]
3
[B]
-3
[C]
4
[D]
-4
(2)
If z = x + iy, then | 3z - 1 | = 3 | z - 2 | represents
[A]
x-axis
[B]
y-axis
[C]
a circle
[D]
line parallel to y-axis
Answer: line parallel to y-axis
(3)
The value of √(-4) *{√(-9/4)} is
[A]
3i
[B]
-3i
[C]
3
[D]
-3
(4)
(a + ib)2 /(a - ib) - (a - ib)2 /(a + ib) in A + iB form is
[A]
0 + 2b(3a2 - b2 )i/(a2 + b2 )
[B]
1 + 2b(3a2 - b2 )i/(a2 + b2 )
[C]
2 + 2b(3a2 - b2 )i/(a2 + b2 )
[D]
3 + 2b(3a2 - b2 )i/(a2 + b2 )
Answer: 0 + 2b(3a2 - b2 )i/(a2 + b2 )
(5)
The inequality | z - 2 | < | z - 4 | represents the region given by
[A]
Re (z) > 0
[B]
Re (z) < 3
[C]
Re (z) > 2
[D]
none of these
(6)
The value of {-√(-1)}4n+3 , n ∈ N is
[A]
i
[B]
-i
[C]
1
[D]
-1
(7)
If z and w be two complex numbers such that | z | ≤ 1, | w | ≤ 1 and | z + iw | = | z - iw | = 2, then z equals {w is congugate of w}
[A]
1 or i
[B]
i or - i
[C]
1 or - 1
[D]
i or - 1
(8)
Find real θ such that (3 + 2i * sin θ)/(1 - 2i * sin θ) is imaginary
[A]
θ = nπ ± π/2 where n is an integer
[B]
θ = nπ ± π/3 where n is an integer
[C]
θ = nπ ± π/4 where n is an integer
[D]
None of these
Answer: θ = nπ ± π/3 where n is an integer
(9)
The value of (1 - i)2 is
[A]
i
[B]
-i
[C]
2i
[D]
-2i
(10)
The least value of n for which {(1 + i)/(1 - i)}n is real, is
(11)
If the area of the triangle on the complex plane formed by the points z, izand z + iz is 50 square units, then |z| is
[A]
5
[B]
10
[C]
15
[D]
None of these
(12)
If z = x + iy and w = 1 - iz / z - i , then | w | = 1 implies that, in the complex plane,
[A]
z lies on the imaginary
[B]
z lies on the real axis
[C]
z lies on the unit circle
[D]
None of these
Answer: z lies on the real axis
(13)
The argument of (1 - i√3)/(1 + i√3) is
[A]
π/3
[B]
2π/3
[C]
7π/3
[D]
4π/3
(14)
The roots of the equation x2 + x + 1 = 0 is
[A]
{1 ± i√3}/2
[B]
{-1 ± i√3}/2
[C]
{i ± √3}/2
[D]
{-i ± √3}/2
(15)
The value of i + i2 + i3 + i4 is
[A]
0
[B]
1
[C]
-1
[D]
2i
(16)
If α is cube root of unity, then for n ∈ N, the value of α3n + 1 + α3n + 5 is
(17)
The inequality | z - 2 | < | z - 4 | represents the region given by
[A]
Re (z) > 0
[B]
Re (z) < 3
[C]
Re (z) > 2
[D]
none of these
(18)
Let z = a + ib and if |z| = 0 then
[A]
Real(z) = 0
[B]
Imaginary(z) = 0
[C]
Real(z) = Imaginary(z) = 0
[D]
None of these
Answer: Real(z) = Imaginary(z) = 0
(19)
The equation whose roots are 7i and 2i is
[A]
x2 + (9i)x - 14 = 0
[B]
x2 - (9i)x + 14 = 0
[C]
x2 - (9i)x - 14 = 0
[D]
x2 + (9i)x + 14 = 0
Answer: x2 - (9i)x - 14 = 0
(20)
The locus of the point z satisfying Re(z2 ) = 0 is
[A]
A pair of striaght line
[B]
a circle
[C]
a rectangular hyperbola
[D]
None of these
Answer: A pair of striaght line
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