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Question

If ∣∣ ∣∣x1y11x2y21x3y31∣∣ ∣∣=∣∣ ∣∣a1b11a2b21a3b31∣∣ ∣∣


then two triangles with vertices (x1,y1),(x2,y2),(x3,y3) and (a1,b1),(a2,b2),(a3,b3) are

A
equal in area
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B
similar
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C
congurent
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D
with different areas
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Solution

The correct option is A equal in area
∣ ∣x1y11x2y21x3y31∣ ∣=∣ ∣a1b11a2b21a3b31∣ ∣12∣ ∣x1y11x2y21x3y31∣ ∣=12∣ ∣a1b11a2b21a3b31∣ ∣TrianglesareequalinareaHence,theoptionAiscorrectanswer.

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