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The points (k,2), (2,4) and (3,2) form a triangle of area 2 sq units. One value of k is:

Class 10Area of a Triangle (Coordinates)Geometry — Coordinates

A1
B0
C4
D3

Step-by-Step Solution

Area =

\frac{1}{2} ∣ k (4 - 2) + 2 (2 - 2) + 3 (2 - 4) ∣ = \frac{1}{2} ∣2 k - 6

| = 2, so |

2 k - 6

| = 4, giving

k = 1

or

k = 5

; of these only 1 is listed.

Answer: A) 1

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