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  • Class 11 Maths Study Material

An Educational platform for Preparation and Practice Class 11. Kidsfront provide unique pattern of learning Maths with free online comprehensive study material in the form of QUESTION & ANSWER for each Chapter of Maths for Class 11. This study material help Class 11, Maths students in learning every aspect of Complex numbers and Quadratic equations. Students can understand Complex numbers and Quadratic equations concept easily and consolidate their learning by doing Online Practice Tests on Maths,Complex numbers and Quadratic equations chapter repeatedly till they excel in Class 11, Complex numbers and Quadratic equations. Free ONLINE PRACTICE TESTS on Class 11, Complex numbers and Quadratic equations comprise of Hundreds of Questions on Complex numbers and Quadratic equations, prepared by the highly professionals team. Every repeat test of Complex numbers and Quadratic equations will have new set of questions and help students to prepare themselves for exams by doing unlimited Online Test exercise on Complex numbers and Quadratic equations. Attempt ONLINE TEST on Class 11,Maths,Complex numbers and Quadratic equations in Academics section after completing this Complex numbers and Quadratic equations Question Answer Exercise.


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  • Topic wise:Complex numbers and Quadratic equations preparation in the form of QUESTION & ANSWER.
  • Evaluate preparation by doing ONLINE TEST of Class 11, Maths,Complex numbers and Quadratic equations.
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Complex numbers and Quadratic equations
For positive integers a, b the value of the expression (1 + i)a + (1 + i3)a + (1 + i5)^b + (1 + i7)^b , where i = √-1 is a real number if and only if

a) A = b + 1
b) A = b - 1
c) A = b
d) A > b > 0



Answer
Correct Answer Is : A > b > 0
Solution Is :
If z = [(√3)/2 + i/2]^5 + [(√3)/2 - i/2]^5 , then

a) Re(z) = 0
b) Im(z) = 0
c) Re(z) > 0, Im(z) > 0
d) Re(z) > 0, Im(z)< 0



Answer
Correct Answer Is : Im(z) = 0
Solution Is :
The complex numbers sin x + icos 2x and cos x - isin 2x are conjugate to each other for

a) X = nπ
b) X = 0
c) X = [n + (1/2)]π
d) No value of x



Answer
Correct Answer Is : No value of x
Solution Is :
Find the value of (2 - 7i)(3 + 4i)

a) 34 + 13i
b) 34 - 13i
c) 22 - 13i
d) 34 - 29i



Answer
Correct Answer Is : 34 - 13i
Solution Is :
Express (1/i) + (2/i2) + (3/i3) + (5/i^4) in the form of a + ib

a) 2i + 3
b) 3i + 2
c) 2i + 5
d) 3i + 4



Answer
Correct Answer Is : 2i + 3
Solution Is :
(cosθ + isinθ)(cosΦ + isinΦ) = ?

a) Cos (θ + Φ) + isin (θ + Φ)
b) Cos (θ + Φ) - isin (θ + Φ)
c) Sin (θ + Φ) + icos (θ + Φ)
d) Sin (θ + Φ) - icos (θ + Φ)



Answer
Correct Answer Is : Cos (θ + Φ) + isin (θ + Φ)
Solution Is :
Find the value of [(1 + i)/(1 - i)] - (1 + 2i)(2 + 2i) + [(3 - i)/(1 + i)]

a) 3 + 7i
b) 3 - 8i
c) 3 - 7i
d) 3 - 3i



Answer
Correct Answer Is : 3 - 7i
Solution Is :
Write the product [(√3/2) + (1/2)i] [(1/2) + (√3/2)i] in the form a + bi

a) (√3/4) + i
b) I
c) #NAME?
d) (3/4)i



Answer
Correct Answer Is : I
Solution Is :
The value of x for which the equation [(x - 2) a2] + 8a + x + 4 = 0 has real, distinct and negative roots is ?

a) 0
b) 2
c) 3
d) -4



Answer
Correct Answer Is : 3
Solution Is :
The statement (a + ib) < (c + id) is true for

a) A2 + b2 = 0
b) B2 + c2 = 0
c) A2 + c2 = 0
d) B2 + d^2 = 0



Answer
Correct Answer Is : B2 + d^2 = 0
Solution Is :