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Question: Answered & Verified by Expert
Let the points A,B,C and D are represented by complex numbers Z1,Z2,Z3 and Z4 respectively. If A,B and C are not collinear and 2Z1+Z2+Z3-4Z4=0, then the value of AreoΔDBCAreoΔABC is equal to _____. If your answer is K, mark 2K as answer after rounding off to nearest integer.
MathematicsComplex NumberJEE Main
Solution:
2675 Upvotes Verified Answer
The correct answer is: 1

Here, Z4=Z1+Z2+Z322
Let, midpoint of the line joining B & C is EZ5, where Z5=Z2+Z32, then
Z4 is midpoint of Z1 & Z5
AreoΔBDCAreoΔBAC=12=0.5

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