Express the given complex number in the form a +
ib:
Answer :
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Express the given complex number in the form a + ib: i9 + i19
Answer :
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Express the given complex number in the form a + ib: i-39
Answer :
Express the given complex number in the form a + ib: 3(7 + i7) + i(7 + i7)
Answer :
Express the given complex number in the form a + ib: (1 - i) - (-1 + i6)
Answer :
Express the given complex number in the form a +
ib:
Answer :
Express the given complex number in the form a +
ib:
Answer :
Express the given complex number in the form a + ib: (1 - i)4
Answer :
Express the given complex number in the form a +
ib:
Answer :
Express the given complex number in the form a +
ib:
Answer :
Find the multiplicative inverse of the complex number 4 - 3i
Answer :
Find the multiplicative inverse of the complex number 
Answer :
Find the multiplicative inverse of the complex number -i
Answer :
Express the following expression in the form of a + ib.
Answer :
Find the modulus and the argument of the complex
number
Answer :
Find the modulus and the argument of the complex number
Answer :
Convert the given complex number in polar form: 1 - i
Answer :
Convert the given complex number in polar form: - 1 + i
Answer :
Convert the given complex number in polar form: - 1 - i
Answer :
Convert the given complex number in polar form: -3
Answer :
Convert the given complex number in polar form:
Answer :
Convert the given complex number in polar form: i
Answer :
Solve the equation x2 + 3 = 0
Answer :
Solve the equation 2x2 + x + 1 = 0
Answer :
Solve the equation x2 + 3x + 9 = 0
Answer :
Solve the equation -x2 + x - 2 = 0
Answer :
Solve the equation x2 + 3x + 5 = 0
Answer :
Solve the equation x2 - x + 2 = 0
Answer :
Solve the equation 
Answer :
Solve the equation 
Answer :
Solve the equation
Answer :
Solve the equation 
Answer :
For any two complex numbers z1 and z2, prove that
Re (z1z2) = Re z1 Re z2 - Im z1 Im z2
Answer :
Reduce 
to the standard form.
Answer :
If x – iy =
prove that
.
Answer :
Convert the following in the polar form:
(i) 
, (ii) 
Answer :
Solve the equation
Answer :
Solve the equation
Answer :
Solve the equation 27x2 - 10x + 1 = 0
Answer :
Solve the equation 21x2 - 28x + 10 = 0
Answer :
If a + ib =
, prove that
a2 + b2 = 
Answer :
Let 
. Find
(i) 
, (ii) 
Answer :
Find the modulus and argument of the complex number
.
Answer :
Find the real numbers x and y if (x - iy) (3 + 5i) is the conjugate of -6 - 24i.
Answer :
Find the modulus of 
.
Answer :
If (x + iy)3 = u + iv,
then show that
.
Answer :
If α and β are
different complex numbers with
= 1, then
find
.
Answer :
Find the number of non-zero integral solutions of the
equation
.
Answer :
If (a + ib) (c + id) (e + if) (g + ih) = A + iB, then show that
(a2 + b2) (c2 + d2) (e2 + f2) (g2 + h2) = A2 + B2.
Answer :
If
, then find the least
positive integral value of m.
Answer :
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.
| Exercise 5.1 |
| Question 1 |
| Question 2 |
| Question 3 |
| Question 4 |
| Question 5 |
| Question 6 |
| Question 7 |
| Question 8 |
| Question 9 |
| Question 10 |
| Question 11 |
| Question 12 |
| Question 13 |
| Question 14 |
| Exercise 5.2 |
| Question 1 |
| Question 2 |
| Question 3 |
| Question 4 |
| Question 5 |
| Question 6 |
| Question 7 |
| Question 8 |
| Exercise 5.3 |
| Question 1 |
| Question 2 |
| Question 3 |
| Question 4 |
| Question 5 |
| Question 6 |
| Question 7 |
| Question 8 |
| Question 9 |
| Question 10 |
find
.
find 
.
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