If ∣∣
∣∣x1y11x2y21x3y31∣∣
∣∣=∣∣
∣∣111b1b2b3a1a2a3∣∣
∣∣ then the two triangles whose vertices are (x1,y1),(x2,y2),((x3,y3) and (a1,b1),(a2,b2),(a13,b3), are
A
congruent
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B
similar
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C
equal in area
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D
none of these
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Solution
The correct option is C equal in area If (x1,y1),(x2,y2),((x3,y3) are the vertices of triangle , then its area is
A1=12∣∣
∣∣x1y11x2y21x3y31∣∣
∣∣ If (a1,b1),(a2,b2),(a3,b3) are the vertices of triangle , then its area is