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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 -5yi2
-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
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