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If P(x,y,z) is a point on the line segme...

If `P(x,y,z)` is a point on the line segment joining Q(2,2,4) and R(3,5,6) such that the projection of `vec(OP)` on the axes are `13/5, 19/5, 26/5` respectively, then P divides QR in the ratio:

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
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  2. If O is the origin, OP = 3, with direction ratios -1, 2 and -2, then f...

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  3. If P(x,y,z) is a point on the line segment joining Q(2,2,4) and R(3,5,...

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  4. If vecr is a vector of magnitude 21 and has direction ratios 2, -3 an...

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  5. Find the distance of the point P(a ,b ,c) from the x-axis.

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  6. A line makes angles alpha,betaa n dgamma with the coordinate axes. If ...

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  7. If a line makes angles alpha,betaa n dgamma with three-dimensional c...

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  8. Find the distance between the parallel planes x+2y-2z+1=0a n d2x+4y...

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  9. A ray of light passing through the point A(1,2,3) , strikews the pl...

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  10. The plane a x+b y=0 is rotated through an angle alpha about its line...

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  11. Find the equation of a plane containing the line of intersection of...

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  12. Find the locus of a point, the sum of squares of whose distance from t...

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  13. Find the length and the foot of the perpendicular from the point (7...

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  14. Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+la...

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  15. Find the equation of the projection of the line (x-1)/(2)=(y+1)/(-1)=(...

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  16. Find the equation the plane which contain the line of intersection ...

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  17. Find the vector equation of the line passing through (1,2,3) and par...

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  18. Find the distance of the point P(3,8,2) from the line 1/2(x-1)=1/4(...

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  19. Find the distance of the point (1,0,-3) from the plane x-y-z=9 meas...

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  20. Show that a x+b y+r=0,b y+c z+p=0a n dc z+a x+q=0 are perpendicular to...

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