Find the real numbers x and y if (x-iy)(3+5i) is the conjugate of - 6 - 24i

Find the conjugate of (3-i)^2/(2+i)

Find the conjugate of (1)/(3+4 i)

If z=sqrt3+i , find the conjugate of Z.

Consider the complex number z_1 = 3+i and z_2 = 1+i .What is the conjugate of z_2 ?

For what value of x and y 4x+i(3x-y)=3-6i

Check whether the following pair of statements are negation of each other. Give reasons for your answer. i) x+y=y+x is true for every real numbers x and y ii) There exists real numbers x and y for which x+y=y+x

Represent the following complex numbers as points in the argand plane the conjugate of 4 - i

Consider the complex number z=3+4i . Write the conjugate of z.

Check whether the following pair of statements are negation of each other Give reasons for your answer. i)x+y=y+x is true for every real number x and y. (ii)There exist a real number x and y for which x+y = y+x.

a) What is the number which gives midpoints of the points denoted by the numbers x and y on the number line. b) If the numbers x and y are thought of as points on a number line, what is the geometrical meaning of |x-y| ? c) .Find those x satisfying each of the equations below. i) |x-1|=|x-3| ii) |x-1|=|x+3| ifi) |x+1|=|x-3|