Using determinants, find the area of △PQR with vertices P(3, 1), Q(9, 3) and R(5, 7). Also, find the equation of line PQ using determinants.

Question

TextArea of Triangle Using DeterminantsCBSE PYQ

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If (a, b), (c, d) and (e, f) are the vertices of △ABC and Δ denotes the area of △ABC, then |a c e; b d f; 1 1 1|² is equal to

Let A be the area of a triangle having vertices (x₁, y₁), (x₂, y₂) and (x₃, y₃). Which of the following is correct ?

Area of Triangle Using Determinants

If (a, b), (c, d) and (e, f) are the vertices of △ABC and △ denotes the area of △ABC, then |a c e; b d f; 1 1 1|² is equal to

If the area of a triangle with vertices (2, –6), (5, 4) and (k, 4) is 35 sq units, then k is