Question

(iii) 5-7i का संयुग्मी होगा-
(a) 7-5i
(b) 5 + 7i
(c) 5-7i
(d) 7+5i​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The complex conjugate of 5 - 7i is

(a) 7-5i

(b) 5 + 7i

(c) 5-7i

(d) 7+5i

CONCEPT TO BE IMPLEMENTED

Complex Number

A complex number z = a + ib is defined as an ordered pair of Real numbers ( a, b) that satisfies the following conditions :

(i) Condition for equality :

(a, b) = (c, d) if and only if a = c, b = d

(ii) Definition of addition :

(a, b) + (c, d) = (a+c, b+ d)

(iii) Definition of multiplication :

(a, b). (c, d) = (ac-bd , ad+bc )

Of the ordered pair (a, b) the first component a is called Real part of z and the second component b is called Imaginary part of z

EVALUATION

Here the given complex number = 5 - 7i

So the required complex conjugate is obtained by replacing i by - i

Hence the required complex conjugate is

= 5 + 7i

FINAL ANSWER

Hence the correct option is (b) 5 + 7i

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If 4x + (3x – y)i = 3 – 6i , then values of x and y.

(a)x=3/4, y=33/4, (b) x=33/4, y=3/4 (c) x=-33/4, y=3 (d) x=-2, y=...

https://brainly.in/question/29610963

2. Let z be a complex number then the area bounded by the curve |z-5i|^(2)+|z-12|^(2)=169 in square units is

https://brainly.in/question/31127048