Let the given complex number
z = x + ix =
We have to find the standard form of complex number.
Solution:
∴ x + iy =
Rationalising numerator part of complex number, we get
x + iy =
⇒ x + iy =
Using the algebraic identity:
(a + b)(a - b) = -
⇒ x + iy =
⇒ x + iy = [ ∵
]
⇒ x + iy =
⇒ x + iy =
⇒ x + iy =
⇒ x + iy = 1 - i
Thus, the given complex number in standard form as "1 - i".
Answer:
C.The probabilities are equal.
The above statement is the only TRUE statement.
Step-by-step explanation:
Here, the given number of total possibilities are { 0,1,2,3,4,5,6,7,8,9}
So, number of total outcomes = 10
Let E : Event of spinner landing on 3
and E' : Even of spinner landing on 4
{Probability of Event E} =
⇒ P( landing on 3 ) = 1/10
and
P( landing on 4 ) = 1/10
Now, the given statements are
A.The probability of landing on 3 is less than probability of landing on 4.
FALSE, as both the probabilities are equal to 1/10.
B.The probability of landing on 3 is greater than probability of landing on 4.
FALSE, as both have same probabilities.
C.The probabilities are equal.
TRUE, both have same probability = 1/10
D.The probabilities cannot be predicted
FALSE, the probability are predictable.