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If lines x=y=za n dx=y/2=z/3 and third l...

If lines `x=y=za n dx=y/2=z/3` and third line passing through `(1,1,1)` form a triangle of area `sqrt(6)` units, then the point of intersection of third line with the second line will be a. `(1,2,3)` b. `2,4,6` c. `4/3,6/3,(12)/3` d. none of these

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. In a three-dimensional coordinate system, P ,Q , and Rare images of a...

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

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

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  4. The point of intersection of the line passing through (0,0,1) and ...

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

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  6. Distance of point P( vec p) from the plane vec rdot vec n=0 is a. | v...

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  7. The reflection of the point vec a in the plane vec rdot vec n=q is...

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  8. Line vec r= vec a+lambda vec b will not meet the plane vec rdot vec ...

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  9. If a line makes an angle of pi/4 with the positive direction of ea...

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  10. Find the equation of the plane containing the lines 2x-y+z-3=0,3x+y+z=...

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  11. A plane which prependicular totwo planes 2x-2y+z=0and x-y+2z=4 passes ...

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  12. Let P(3,2,6) be a point in space and Q be a point on line vec r=( hat...

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  13. If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersec...

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  14. Consider a set of point R in which is at a distance of 2 units from t...

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  15. Consider the lines L1:(x-1)/2=y/(-1)=(z+3)/1,L2:(x-4)/1=(y+3)/1=(z+3)/...

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  16. Statement 1: A plane passes through the point A(2,1,-3)dot If distan...

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  17. Consider the following linear equations: a x+b y+c z=0 b x+c y+a z=0 c...

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  18. If the distance between the plane Ax-2y+z=d. and the plane containing ...

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  19. Prove that the volume of tetrahedron bounded by the planes vec rdo...

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  20. If a variable plane forms a tetrahedron of constant volume 64k^3 with ...

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