Question 8 of 58intermediate🔧 ApplyNumerical2 marks
Find values of k if area of triangle is 4 sq. units and vertices are (i) (k, 0), (4, 0), (0, 2) (ii) (-2, 0), (0, 4), (0, k)
(i)
Answer
k = 0 or k = 8
(ii)
Answer
k = 0 or k = 8
Explanation
This question tests the application of determinant formula for area of a triangle. The key concept from the textbook is that when area is given, we use both positive and negative values of the determinant (± area) because area is always taken as positive, but the determinant can be positive or negative depending on the order of vertices.