RD SHARMA Solutions for Class 11-science Maths Chapter 13 - Complex Numbers
Page / Exercise
Chapter 13 - Complex Numbers Exercise Ex. 13.2
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 17
Solution 17
Question 18
Solution 18
Question 19
Solution 19
Question 20
Solution 20
Question 21
Solution 21
Question 22
Solution 22
Question 23
Solution 23
Question 24
What is the smallest positive integer n for which
(1+i)2n = (1-i)2n?
Solution 24
Question 1 (i)
Solution 1 (i)
Question 1 (ii)
Solution 1 (ii)
Question 1 (iii)
Solution 1 (iii)
Question 1 (iv)
Solution 1 (iv)
Question 1 (v)
Solution 1 (v)
Question 1 (vi)
Solution 1 (vi)
Question 1 (vii)
Solution 1 (vii)
Question 1 (viii)
Solution 1 (viii)
Question 1 (ix)
Solution 1 (ix)
Question 1 (x)
Solution 1 (x)
Question 1 (xi)
Solution 1 (xi)
Question 1 (xii)
Solution 1 (xii)
Question 2 (i)
Solution 2 (i)
Question 2 (ii)
Solution 2 (ii)
Question 2 (iii)
Solution 2 (iii)
Question 2 (iv)
Solution 2 (iv)
Question 3 (i)
Solution 3 (i)
Question 3 (ii)
Solution 3 (ii)
Question 3 (iii)
Solution 3 (iii)
Question 3 (iv)
Solution 3 (iv)
Question 3 (v)
Solution 3 (v)
Question 3 (vi)
Solution 3 (vi)
Question 4 (i)
Solution 4 (i)
Question 4 (ii)
Solution 4 (ii)
Question 4 (iii)
Solution 4 (iii)
Question 4 (iv)
Solution 4 (iv)
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 16 (i)
Solution 16 (i)
Question 16 (ii)
Solution 16 (ii)
Question 16 (iii)
Solution 16 (iii)
Question 16 (iv)
Solution 16 (iv)
Question 16(v)
Evaluate the following :
Solution 16(v)
Question 25
If z1, z2, z3 are
complex numbers such that |z1| = |z2| = |z3|
= 
= 1, then
find the value of |z1 + z2 + z3|.
Solution 25
Question 26
Find the number of solutions of z2 + |z|2 = 0
Solution 26
Chapter 13 - Complex Numbers Exercise Ex. 13.1
Question 1 (i)
Solution 1 (i)
Question 1 (ii)
Solution 1 (ii)
Question 1 (iii)
Solution 1 (iii)
Question 1 (iv)
Solution 1 (iv)
Question 1 (v)
Solution 1 (v)
Question 1 (vi)
Solution 1 (vi)
Question 1 (vii)
Solution 1 (vii)
Question 1 (viii)
Solution 1 (viii)
Question 2
Solution 2
Question 3 (i)
Solution 3 (i)
Question 3 (ii)
Solution 3 (ii)
Question 3 (iii)
Solution 3 (iii)
Question 3 (iv)
Solution 3 (iv)
Question 3 (v)
Solution 3 (v)
Question 3 (vi)
Solution 3 (vi)
Question 3(vii)
Find the values of the following expressions:
(1 + i)6 + (1 - i)3
Solution 3(vii)
Chapter 13 - Complex Numbers Exercise Ex. 13.3
Question 1 (i)
Solution 1 (i)
Question 1 (ii)
Solution 1 (ii)
Question 1 (iii)
Solution 1 (iii)
Question 1 (iv)
Solution 1 (iv)
Question 1 (v)
Solution 1 (v)
Question 1 (vi)
Solution 1 (vi)
Question 1 (vii)
Solution 1 (vii)
Question 1 (viii)
Solution 1 (viii)
Question 1 (ix)
Find the square root of the following complex numbers: -i
Solution 1 (ix)
Chapter 13 - Complex Numbers Exercise Ex. 13.4
Question 1 (i)
Solution 1 (i)
Question 1 (ii)
Solution 1 (ii)
Question 1 (iii)
Solution 1 (iii)
Question 1 (iv)
Solution 1 (iv)
Question 1 (v)
Solution 1 (v)
Question 1 (vi)
Solution 1 (vi)
Question 1 (vii)
Solution 1 (vii)
Question 1 (viii)
Solution 1 (viii)
Question 2
Write (i25)3 in polar form.
Solution 2
Question 3(i)
Express the following complex numbers in the form
r(cos q + I sin q): 1 + i tan a
Solution 3(i)
Question 3(ii)
Express the following complex numbers in the form
r(cos q + I sin q): tan a - i
Solution 3(ii)
Question 3(iii)
Express the following complex numbers in the form
r (cos q + I sin q): 1 - sin a + i cos a
Solution 3(iii)
Question 3(iv)
Express the following complex numbers in the form
r (cos q + I sin q):
Solution 3(iv)
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Chapter 13 - Complex Numbers Exercise Ex. 13VSAQ
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
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