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about to only mathematics

A

parallel lines

B

coplanar lines

C

coincident lines

D

concurrent lines

Text Solution

Verified by Experts

The correct Answer is:
d

`P_(1)=P_(2)=0 ,P_(2)=P_(3)=0andP_(3)=P_(1)=0` are lines of intersection of the three plane `P_(1)=P_(2)andP_(3)`.
As `vecn_(1),vecn_(2)andvecn_(3)` are non-coplanar, plane `P_(1),P_(2)andP_(3)` will intersect at unique point. So the given lines will pass through a fixed point.
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CENGAGE-THREE-DIMENSIONAL GEOMETRY -Exercise (Single)
  1. The point on the line (x-2)/1=(y+3)/(-2)=(z+5)/(-2) at a distance of 6...

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  2. The coordinates o the foot of the perpendicular drawn from the orig...

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  3. about to only mathematics

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  4. The length of projection of the line segment joining the points (1,...

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  5. The number of planes that are equidistant from four non-coplanar po...

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  6. In a three-dimensional coordinate system, P ,Q ,a n dR are images o...

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  7. A plane passing through (1,1,1) cuts positive direction of coordinates...

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  8. If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...

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  9. Find the point of intersection of line passing through (0,0,1) and t...

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  10. Shortest distance between the lines (x-1)/1=(y-1)/1=(z-1)/1a n d(x-...

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  11. Distance of point P(vecP) from the plane vecr.vecn=0 is

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  12. The reflection of the point veca in the plane vecr.vecn=q is (A) veca+...

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  13. The angle theta between the line vecr=veca+lambdavecb and the plane ve...

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  14. If a line makes an angel of pi/4 with the positive direction of eac...

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  15. The ratio in which the plane vec rdot( vec i-2 vec j+3 vec k)=17 d...

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  16. then image of the point (-1,3,4) in the plane x-2y=0

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  17. The perpendicular distance between the line vecr = 2hati-2hatj+3hatk+l...

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  18. Let L be the line of intersection of the planes 2x+3y+z=1a n dx+3y+2z=...

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  19. The length of the perpendicular drawn from (1,2,3) to the line (x-6...

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  20. If the angle theta between the line (x+1)/1=(y-1)/2=(z-2)/2 and the pl...

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