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A plane meets the coordinate axes at A, ...

A plane meets the coordinate axes at A, B, C such that the centroid of the triangle is (3, 3, 3). The equation of the plane is :

A

1

B

2

C

3

D

4

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
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  2. The intercepts of the plane 3 x+4 y-5 z-4=0 on the coordinate axes are

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  3. A plane meets the coordinate axes at A, B, C such that the centroid of...

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  4. If the plane 3x+4y-3z+2=0 cuts the coordinate axes at A, B, C, then th...

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  5. A plane meets the coordinate axes at A, B, C such that the centroid of...

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  6. The plane x/4 + y/3 -z/5 =1 cuts the axes at A, B, C then the area of ...

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  7. The distance of the point (1,0,2) from the point of intersection of t...

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  8. The length of the perpendicular from the origin to the plane 3x+4y+12z...

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  9. Find the distance of the point (2,3,-5) from the plane r.(i+2j-2k)=9.

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  10. The foot of the perpendicular from (-2,3) to the line 2 x-y-3=0 is

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  11. The image of the point (- 1, 3, 4) in the plane: x-2y=0 is:

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  12. Find the image of (2,3) on the line 3x+5y=4.

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  13. If the planes vec r . (2i + lambda j +k) = 3 and vec r . (4i+j+muk) = ...

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  14. The angle between the lines (x+1)/2 = (y-2)/5 = (z+3)/4 and (x-1)/1 = ...

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  15. The angle between the lines (x-1)/1 = (y-1)/1 = (z-1)/2 and (x-1)/(-sq...

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  16. The angle between the lines (x+1)/2 = (y-2)/5 = (z+3)/4 and (x-1)/1 = ...

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  17. The perpendicular distance of P(1,2,3) from the line (x-6)/3 = (y-7)/2...

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  18. Given the line L=(x-1)/3 =(y+1)/2 =(z-3)/(-1) and the plane pi:x-2y-z=...

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  19. The angle between the line (x-2)/3 = (y+1)/1 = (z-2)/(-1) and the plan...

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  20. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6...

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