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From the three pairs of lines given belo...

From the three pairs of lines given below, identify those which uniquely determine a plane :
(i) intersecting pair, (ii) parallel pair, (iii) a pair of skew lines.

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Out of given three pairs ,
(i) Intersecting pair and
(ii) Parallel pair of lines determine a plane.
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MBD PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the projection of the point (7,-5,3) on z-axis.

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  2. When do you say two lines in space are skew ? Do they intersect ?

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  3. From the three pairs of lines given below, identify those which unique...

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  4. Determine the unknown coordinates of the P(a,2,-1) in yz-"plane"

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  5. Determine the unknown coordinates of the Q(-1,y,3)in zx-"plane"

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  6. Determine the unknown coordinates of theR(sqrt2,-3,c) in xy-"plane"

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  7. Determine the unknown coordinates of the S(7,y,z) in x-"axis"

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  8. Determine the unknown coordinates of theT(x,0,z) in y"-axis"

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  9. Determine the unknown coordinates of the V(a,b,-3) in z-"axis"

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  10. Which axis is determined by the intersection of xy-plane and yz-plane,

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  11. Which axis is determined by the intersection of yz-plane and zx-plane,

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  12. Which axis is determined by the intersection of zx-plane and xy-plane.

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  13. Which axis is represented by a line passing through origin and normal ...

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  14. Which axis is represented by a line passing through origin and normal ...

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  15. Which axis is represented by a line passing through origin and normal ...

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  16. What are the coordinates of a point which is common to all the coordin...

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  17. If A,B,C are projections of P(3,4,5) on the coordinate planes, find PA...

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  18. Find the perimeter of the triangle whose vertices are (0,1,2)(2,0,4) a...

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  19. Show that the points (a,b,c,)(b,c,a) and (c,a,b) from an equilateral...

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  20. Show that the points (3,-2,4)(1,1,1) and (-1,4,-1) are collinear.

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