Which of the following expressions is the conjugate of a complex number with 3 as the real part and –2i as the imaginary part?
3 + 2i
3 – 2i
3i + 2
3i – 2

(A)

Step-by-step explanation:

It is given that there is a complex number with 3 as the real part and –2i as the imaginary part that is:

The number is=

Now, The conjugate of a complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign.

Thus, the complex conjugate of is as number remains same with equal real and imaginary part in magnitude but opposite in sign.

Thus, option A is correct.

we know that

The conjugate of a complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign

In this problem we have

so

the conjugate is equal to

-----> equal real part and imaginary part equal in magnitude but opposite in sign

the answer is the option

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)