Q.
The plane x2+y3+z1=1 meet the co-ordinate axis at the points A, B, C respectively then the area bounded by the triangle ABC is
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a
6 sq. units
b
92 sq. units
c
52 sq. units
d
72 sq. units
answer is D.
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Detailed Solution
In the problem A(2,0,0), B(0,3,0), C(0,0,1) Area of Δ ABC=12Δx 2+Δy 2+Δz 2 where Δx=030001111=3Δy=200001111=2Δz=033200111=|(−6)|=6Required area = 129+4+36=72
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