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The image of the line (x-1)/(3) = (y-3)/...

The image of the line `(x-1)/(3) = (y-3)/(1) = (z-4)/(-5)` in the plane 2x - y + z + 3 = 0 is the line ..............

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The perpendicular distance of the plane y-2x + 5 = z from the point (0...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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