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in Determinants by (15 points)
36. If \( (a, b),(c, d) \) and \( (e, f) \) are the vertices of \( \triangle A B C \) and \( \triangle \) denotes the area of \( \triangle A B C \), the \( \left|\begin{array}{lll}a & c & e \\ b & d & f \\ 1 & 1 & 1\end{array}\right|^{2} \) is equal to (a) \( 2 \Delta^{2} \) (b) \( 4 \Delta^{2} \) (c) \( 2 \Delta \) (d) \( 4 \Delta \) (CBSE 201)

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Correct option is (b) 4Δ2

If (a, b), (c, d) and (e, f) are vertices of ΔABC, then its area is

If (a, b), (c, d) and (e, f) are vertices of triangle ABC,

On squaring both sides, we get

On squaring both sides, we get

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