Question 47

Mathematics Complex Numbers Hard

\( 1+i, 3+2i, 5+3i \) the point are

(A) collinear
(B) right angled
(C) equilateral
(D) None of these
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

The points are (1, 1), (3, 2) and (5, 3).

Slope between the 1st and 2nd point = \(\frac{2-1}{3-1} = \frac{1}{2}\). Slope between the 2nd and 3rd point = \(\frac{3-2}{5-3} = \frac{1}{2}\).

The slopes are equal, so the points lie on one line: they are collinear.

Answer: (A)

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