The area of a triangle with vertices (–3, 0), (3, 0) and (0, k) is 9 sq. units. The value of k will be

Question

Philoid · Accepted Answer

We know that, the area of a triangle with vertices (x₁, y₁), (x₂, y₂), (x₃, y₃) is given by

[given]

Now, expanding along second column, we get

⇒ -(k) {-3 – 3} = 18

⇒ -k (-6) = 18

⇒ 6k = 18

⇒ k = 3

Hence, the correct option is (b)