# Find the value of k: the points (1, 3), (4, 1), (3, k) are collinear. - Mathematics and Statistics

Sum

Find the value of k: the points (1, 3), (4, 1), (3, k) are collinear.

#### Solution

The points A(1, 3), B(4, 1) and C(3, k) are collinear.
∴ Slope of AB = Slope of BC

∴ (1 - 3)/(4 - 1) = ("k" - 1)/(3 - 4)

∴ (-2)/3 = ("k" - 1)/(-1)

∴ 2 = 3k – 3

∴ k = 5/3.

Concept: Line
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#### APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 5 Locus and Straight Line
Miscellaneous Exercise 5 | Q 3. (b) | Page 79