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Class 12 Determinants · Mcq Single Correct1 Markstriangle_area

Class 12 Maths · Determinants · Mcq Single Correct #19

Vertices (a,b),(c,d),(e,f) form a triangle of area Δ. Find the square of \(\begin{vmatrix}a & c & e\\b & d & f\\1 & 1 & 1\end{vmatrix}\).

✅ Step-by-Step Solution

Final Answer: Option (B): 4Δ²
  1. The absolute value of the displayed determinant is 2Δ. Squaring removes its orientation sign and gives 4Δ².

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