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A plane meets the axes in the points, A,...

A plane meets the axes in the points, A, B and C. If the centroid of `Delta ABC` is `(alpha,beta, gamma)` then the plane is ...............

A

`x/alpha + y /beta + z/gamma = 3`

B

`x/alpha + y /beta + z/gamma = 1`

C

`(3x)/(alpha) + (3y)/(beta) + (3z)/(gamma)=1`

D

`alpha x + beta y + gammaz=1`

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A
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
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  8. If the lines vec r = vec a + lambda (vec b xx vec c) and vec r = vec b...

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  9. The distance between the planes 2x + 2y-z + 2 = 0 and 4x + 4y -2x +...

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  10. The plane 2x - (1- lambda) y+ 3 lambda z= 0 is passing through the lin...

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  11. A plane passes through (1,1,1). It is perpendicular to the line (x-1)/...

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  12. The equation of the plane passing through the line of intersection of ...

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  13. The vector equation of the plane containing the line vec r (-2 hat i -...

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  14. The plane passing through the intersection of the planes x+y +z =1 and...

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  15. The equation of line passing through the point (-4,3,1) parallel to th...

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  16. The equation of plane containing the line x/2 = y/3 = z/4 and perpendi...

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  17. If the lines x = ay + b ,z = cy + d and x= a'z + b',y = c'z + d'' are ...

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  18. The plane parallel to the lines (x+2)/(3) = (y-2)/(-1) = (z+1)/(2) an...

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  19. A point A is on the line vec r = (1- 3mu ) hat i + (mu - 1) hat j + ...

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  20. The distance of the point (2,-1,-2) from the line (x-1)/(2) = (y+3)/(2...

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