<u>The value of</u><u> a = 11</u>
What is complex numbers ?
- Complex numbers are the numbers that are expressed in the form of a+ib where, a,b are real numbers and 'i' is an imaginary number called “iota”.
- The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).
Let a + i b = (a,b)
c + i d = (c , d)
the distance between two points =
put values in the formula -
= 29
square both sides
(a + 9)² = 841 - 441 ⇒ 400
(a + 9) = √400 = <u>+ </u>20
a = <u>+</u>20 -9
So, a = -29 or 11
Therefore, the value of a = 11
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