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The plane ax + by + cz = 1 intersects th...

The plane ax + by + cz = 1 intersects the axes in A, B and C respetively. The centroid of
`Delta ABC is G (1/6, -1/3 , 1)`. Then a + b + 3c = .......

A

`2`

B

`4`

C

`4/3`

D

`5/6`

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The correct Answer is:
A
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The angle between the lines (x-1)/(2) = (y+1)/(1) =(1-z)/2 and x = k +...

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  2. The plane passes through the point (1,-1,-1) and its normal is perpend...

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  3. The plane ax + by + cz = 1 intersects the axes in A, B and C respetive...

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  4. The plane makes the angles (pi)/(4),(pi)/(4) and (pi)/(2) with the pos...

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  5. The equation of the plane passing through the pionts (2,5,-3) and perp...

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  6. The equation of the plane passing through the pionts (0,-4,-6) and (-2...

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  7. The line joining the pionts (1,1,2) and (3,-2,1) meets the plane 3x + ...

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  8. The plane passing through (5,1,2) and perpendicular to the line 2(x-2)...

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  9. The intercepts on the axes cut off by the plane which is perpendicular...

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  10. The equation of the plane passing through the intersection of the plan...

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  11. If from the point (a,b,c) perpendiculars PL and PM be drawn to YOZ and...

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  12. The line (x+1)/(2) = (y+1)/(3) = (z+1)/(4) meets the plane x + 2y + 3z...

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  13. The plane containing the two lines (x-3)/(1) = (y-2)/(4) = (z-1)/(5) a...

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  14. A variable plane passes through a fixed point (1,-2,3) and meets the c...

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  15. The equation to the plane through the pionts (2,-1,00) and (3,-4,5) pa...

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  16. Through a point P(f,g,h) a plane is drawn at right angles to bar(OP), ...

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  17. If p1,P2,P3 denot the distances of the plane 2x-3y+4z +2 = 0 from the ...

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  18. The image of the piont P(2,3,1) in the plane x-y-z -2 = 0 is ............

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  19. If the plane lambda x-mu y + vz = phi contains line (x-lambda)/(lambd...

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  20. The difference between the distances of the points (2,3,4) and (1,1,4)...

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