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The point P is the intersection of the s...

The point P is the intersection of the straight line joining the points `Q(2,3,5)` and `R(1,-1,4)` with the plane `5x - 4y -z = 1`. If S is the foot of the perpendicular drawn from the point `T(2,1,4)` to QR, then the length of the line segment PS is (A) `1/sqrt2` (B) `sqrt2` (C) ` 2` (D) `2sqrt2`

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
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  6. The projection of point P( vec p) on the plane vec r. vec n=q is ( v...

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  7. The angle between i and line of the intersection of the plane vec r ....

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  8. From the point P(a ,b ,c), let perpendicualars P La n dP M be drawn to...

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  9. The plane vec rdot vec n=q will contain the line vec r= vec a+lambd...

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  10. Consider triangle A O B in the x-y plane, where A-=(1,0,0),B-=(0,2,0)a...

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  11. Let vec a= hat i+ hat j and vec b=2 hat i- hat k , then the point of ...

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  12. The line (x+6)/5=(y+10)/3=(z+14)/8 is the hypotenuse of an isosceles ...

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  13. The equation of the plane which passes through the line of intersect...

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  14. The coordinates of the point P on the line vec r=( hat i+ hat j+ h...

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  15. The ratio in which the line segment joining the points whose positio...

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  16. The number of planes that are equidistant from four non-coplanar point...

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  17. In a three-dimensional coordinate system, P ,Q , and Rare images of a...

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

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

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

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