NCERT Solutions for Class 11 Maths Maths Chapter 5

Complex Numbers and Quadratic Equations Class 11

Chapter 5 Complex Numbers and Quadratic Equations Exercise 5.1, 5.2, 5.3, miscellaneous Solutions

<< Previous Chapter 4 : Principle of Mathematical Induction Next Chapter 6 : Linear Inequalities >>

Exercise 5.1 : Solutions of Questions on Page Number : 103

Q1 :  

Express the given complex number in the form a + ib:


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Q2 :  

Express the given complex number in the form a + ib: i9 + i19


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Q3 :  

Express the given complex number in the form a + ib: i-39


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Q4 :  

Express the given complex number in the form a + ib: 3(7 + i7) + i(7 + i7)


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Q5 :  

Express the given complex number in the form a + ib: (1 - i) - (-1 + i6)


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Q6 :  

Express the given complex number in the form a + ib:


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Q7 :  

Express the given complex number in the form a + ib:


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Q8 :  

Express the given complex number in the form a + ib:  (1 - i)4


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Q9 :  

Express the given complex number in the form a + ib:


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Q10 :  

Express the given complex number in the form a + ib:


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Q11 :  

Find the multiplicative inverse of the complex number 4 - 3i


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Q12 :  

Find the multiplicative inverse of the complex number


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Q13 :  

Find the multiplicative inverse of the complex number -i


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Q14 :  

Express the following expression in the form of a + ib.


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<< Previous Chapter 4 : Principle of Mathematical Induction Next Chapter 6 : Linear Inequalities >>

Exercise 5.2 : Solutions of Questions on Page Number : 108

Q1 :  

Find the modulus and the argument of the complex number


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Q2 :  

Find the modulus and the argument of the complex number


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Q3 :  

Convert the given complex number in polar form: 1 - i


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Q4 :  

Convert the given complex number in polar form: - 1 + i


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Q5 :  

Convert the given complex number in polar form: - 1 - i


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Q6 :  

Convert the given complex number in polar form: -3


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Q7 :  

Convert the given complex number in polar form:


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Q8 :  

Convert the given complex number in polar form: i


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<< Previous Chapter 4 : Principle of Mathematical Induction Next Chapter 6 : Linear Inequalities >>

Exercise 5.3 : Solutions of Questions on Page Number : 109

Q1 :  

Solve the equation x2 + 3 = 0


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Q2 :  

Solve the equation 2x2 + x + 1 = 0


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Q3 :  

Solve the equation x2 + 3x + 9 = 0


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Q4 :  

Solve the equation -x2 + x - 2 = 0


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Q5 :  

Solve the equation x2 + 3x + 5 = 0


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Q6 :  

Solve the equation x2 - x + 2 = 0


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Q7 :  

Solve the equation


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Q8 :  

Solve the equation


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Q9 :  

Solve the equation


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Q10 :  

Solve the equation


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<< Previous Chapter 4 : Principle of Mathematical Induction Next Chapter 6 : Linear Inequalities >>

Exercise Miscellaneous : Solutions of Questions on Page Number : 112

Q1 :  

Evaluate:


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Q2 :  

For any two complex numbers z1 and z2, prove that

Re (z1z2) = Re z1 Re z2 - Im z1 Im z2


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Q3 :  

Reduce to the standard form.


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Q4 :  

If x – iy =prove that.


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Q5 :  

Convert the following in the polar form:

(i) , (ii)


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Q6 :  

Solve the equation


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Q7 :  

Solve the equation


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Q8 :  

Solve the equation 27x2 - 10x + 1 = 0


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Q9 :  

Solve the equation 21x2 - 28x + 10 = 0


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Q10 :  

If find.


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Q11 :  

If find .


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Q12 :  

If a + ib =, prove that a2 + b2 =


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Q13 :  

Let . Find

(i) , (ii)


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Q14 :  

Find the modulus and argument of the complex number.


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Q15 :  

Find the real numbers x and y if (x - iy) (3 + 5i) is the conjugate of -6 - 24i.


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Q16 :  

Find the modulus of .


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Q17 :  

If (x + iy)3 = u + iv, then show that.


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Q18 :  

If α and β are different complex numbers with = 1, then find.


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Q19 :  

Find the number of non-zero integral solutions of the equation.


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Q20 :  

If (a + ib) (c + id) (e + if) (g + ih) = A + iB, then show that

(a2 + b2) (c2 + d2) (e2 + f2) (g2 + h2) = A2 + B2.


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Q21 :  

If, then find the least positive integral value of m.


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<< Previous Chapter 4 : Principle of Mathematical Induction Next Chapter 6 : Linear Inequalities >>

Maths - Maths : CBSE NCERT Exercise Solutions for Class 11th for Complex Numbers and Quadratic Equations ( Exercise 5.1, 5.2, 5.3, miscellaneous ) will be available online in PDF book form soon. The solutions are absolutely Free. Soon you will be able to download the solutions.

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