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If the foot of perpendicular from origin...

If the foot of perpendicular from origin to the plane is (1,2,3) then the equation of the plane is............

A

`(x)/(1) + (y)/(2) + (z)/(3) = 1`

B

`x + 2y + 3z =1`

C

`x+2y + 3z = 6`

D

`x + 2y + 3z = 14`

Text Solution

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The correct Answer is:
D
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. If the line (x-3)/(2) = (y +2)/(-1) = (z+4)/(3) is in the plane lx + ...

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  2. If the distance between the palens 2x- y + 2z = 1 and 4x-2y + 4z = k...

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  3. If the foot of perpendicular from origin to the plane is (1,2,3) then ...

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  4. If the line (x-4)/(1) = (y-2)/(1) = (z+k)/(2) lies in the plane 2x -4y...

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  5. The direction of the line of intersection of the planes 2x + 3y + z-1 ...

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  6. The pane x+2y -2z = 6 makes the intercepts with the axes, The centroid...

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  7. The angle between the lines (x-1)/(2) = (y+1)/(1) =(1-z)/2 and x = k +...

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

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

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

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

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

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

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

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

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

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

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

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

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

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