MHT CET 2022 Mathematics question

Mathematics Complex Numbers MHT CET 2022

If (x – iy) (3 + 5i) is the conjugate of – 6 – 24i (where x, y IR and i = ), then the values of x and y are respectively

(A)5, 3
(B)5, -3
(C)-3, 3
(D)3, -3Correct

Answer: (D)

Solution

The conjugate of is . Expand . Equating real and imaginary parts: ... (1) and ... (2). Multiply (1) by 3 and (2) by 5: and .

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-094021