If the plane x2+y3+z6=1 cuts the axes of coordinates at points A, B and C, then find the area of the triangle ABC.

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18 sq unit

36 sq unit

314 sq unit

214 sq unit

answer is C.

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Detailed Solution

Plane meets axis at A(2,0, 0),8(0, 3, 0) and C(0, 0, 6). Then area of ∆ABC is 12|AB→×AC→|=12|(−2i^+3j^)×(−2i^+6j^)|=314 sq units

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