Learn Maths Complex numbers and Quadratic equations, Class 11 Maths Complex numbers and Quadratic equations Exercise, Free Online Complex numbers and Quadratic equations Lessons

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.

Unique pattern

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.
Review performance in PRACTICE TEST and do further learning on weak areas.
Attempt repeat ONLINE TESTS of Maths Complex numbers and Quadratic equations till you excel.
Evaluate your progress by doing ONLINE MOCK TEST of Class 11, Maths, All TOPICS.

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 :

❑Permutations and Combinations
❑Sets and their representations
❑statistics
❑Mathematical Induction
❑mathematical reasoning
❑Binomial Theorem
❑Calculus
❑Three Dimensional Geometry
❑Conic Sections
❑Straight Lines
❑Sequence and Series
❑Linear Inequalities
❑Complex numbers and Quadratic equations
❑Relations and functions
❑Trigonometric function
❑Probability

Coloring With Vigor

Stories & Rhymes

Exploration

English

Maths

Puzzles

Class 11 Maths Study Material

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

Correct Answer Is : A > b > 0

Solution Is :

If z = [(√3)/2 + i/2]^5 + [(√3)/2 - i/2]^5 , then

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

Correct Answer Is : No value of x

Solution Is :

Find the value of (2 - 7i)(3 + 4i)

Correct Answer Is : 34 - 13i

Solution Is :

Express (1/i) + (2/i2) + (3/i3) + (5/i^4) in the form of a + ib

Correct Answer Is : 2i + 3

Solution Is :

(cosθ + isinθ)(cosΦ + isinΦ) = ?

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)]

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

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 ?

Correct Answer Is : 3

Solution Is :

The statement (a + ib) < (c + id) is true for

Correct Answer Is : B2 + d^2 = 0

Solution Is :

Other Topics

Kids Learning

Academics

Competitive Exams

Govt. Jobs Exams

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

Express (1/i) + (2/i²) + (3/i³) + (5/i^4) in the form of a + ib

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

Correct Answer Is : B² + d^2 = 0