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Most Important Selected Qs for JEE AdvancedMathematicsThree Dimensional Geometry

If the line x-1 2 = y+2 3 = z-4 6 intersect the x y, y z and z x planes at A, B and C respectively, and if volume of the tetrahedron OABD is V , where ' O ' is origin and D is the image of C in the x -axis, then the value of [ V ] is . (Where [.] denote greatest integer function).

Correct answer

3

Step-by-step solution

A (- 1 3 ,-4,0 ), B (0,- 7 2 , 1 ) and C ( 7 3 , 0,8 ) . Hence V= 56 18

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