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

**Solution:**

The conjugate of -6 - 24i is -6 + 24i.

It is given that -6 + 24i = (x – iy) (3 + 5i)

-6 + 24i = 3x + 5xi - 3iy -5yi^{2}

-6 + 24i = (3x + 5y) + i (5x - 3y)

Comparing the real and imaginary parts,

3x + 5y = -6

5x - 3y = 24

Solving these two equations we get x = 3 and y = -3.

Therefore, x = 3 and y = -3

NCERT Solutions Class 11 Maths Chapter 5 Exercise ME Question 14

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

**Summary:**

If (x – iy) (3 + 5i) is the conjugate of -6-24i then x = 3 and y = -3