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The equation of the passing through the ...

The equation of the passing through the point (2,-1,3) and perpendicular to the plane 2x-y + `2sqrt(5)z` = 3 is .........

A

`(x-2)/(2) = (y+1)/(-1) = (z-3)/(2sqrt(5))`

B

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

C

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

D

`(x-2)/(2) = (y+1)/(2sqrt(5)) = (z-3)/(-1)`

Text Solution

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The correct Answer is:
A
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The direction of the line of instersection of the planes 3x-z = 5 and ...

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  2. The perpendicular distance of the plane y-2x + 5 = z from the point (0...

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  3. The equation of the passing through the point (2,-1,3) and perpendicul...

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  4. The image of the line (x-1)/(3) = (y-3)/(1) = (z-4)/(-5) in the plane ...

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  5. The equation of the plane whose X- intercept 4,Y - intercept (-6), Z- ...

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  6. The vector equation of the plane 2x-z+1 = 0 is................

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  7. The angle between the planes bar.r (1,2,-1) = 3 and 2x -y + 2z = 2 is ...

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

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  9. The angle makes by the plane 2x + 3y + 6z - 15=0 with Y-axis is .........

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  10. The equation of the plane passing through (4,5,-1) and with normal 3 h...

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  11. The sum of the Y and Z intercepts made by the plane 3x + 4y -6z = 12 i...

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  12. If the foot of perpendicular from the origin to the plane is (a,b,0) t...

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  13. The distance of the point (1,-5,9) from the plane x-y + z = 5 measured...

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  14. If the line (x-3)/(2) = (y +2)/(-1) = (z+4)/(3) is in the plane lx + ...

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

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

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

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

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

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

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