Q64 of 66 Page 7

Prove that the area of a triangle with vertices is independent of t if vertices are A (t, t 2), B (t + 2, t + 2), C (t + 3, t).(CBSE 2016)

Let us assume the points be A (t, t 2), B (t + 2, t + 2), C (t + 3, t)

We know that,


∴


=


=


= - 4


Hence, the area of the triangle is 4 square units and it is independent of t

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