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The line passing through the points (5, ...

The line passing through the points `(5, 1, a) and (3, b, 1)` crosses the YZ-plane at the point `(0, (17)/(2), -(13)/(2))`. Then,

A

a = 8 , b = 2

B

a = 2 , b = 8

C

a = 4, b = 6

D

a = 6 , b = 4

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The correct Answer is:
D
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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -COMPETITION FILE
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  3. Let the line (x-2)/3 = (y-1)/-5 =(z+2)/2 lie in the plane x+3y - alpha...

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  7. The length of the perpendicular drawn from the point (3, -1, 11) to th...

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

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  9. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

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  10. An equation of a plane parallel to the plane x-2y +2 z-5=0 and at a un...

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  11. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

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  12. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

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

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  15. The disatance of the point (1, 0, 2) from the point of intersection of...

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  16. The equation of the plane containing the line 2x -5y + z= 3, x + y + 4...

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  17. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

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

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  19. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 mesure...

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