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Relations And Functions
Are the following pair of sets equal? Give reasons :
(i) A = {2, 3}, B = {x : x is solution of x2 + 5x + 6 = 0}
(ii) A = {x : x is a letter in the word FOLLOW}, B = {y : y is a letter of word WOLF}
(i) A = {2, 3}
B = { x : is solution of x2 + 5x + 6 = 0}
Now, x2 + 5x + 6 = 0 (x+2)(x+3) = 0
x = -2, x = -3 B = {-2, -3}
Clearly,
(ii) A = { x: x is a letter in the word FOLLOW
A = { F, O, L, W}
Also, B = { y : y is a letter of the word WOLF}
B = { W, O, L, F}
Hence, A = B.
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i9 + i19
3(7 + i7) + i(7 + i7)
Express each of the complex number given in the form of a + ib.
(1 - i) - (-1 + i6)
Express each of the complex number given in the form of a + ib.
(1 - i)4
Find the multiplicative inverse of
- i
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