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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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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit...

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  2. The equation of the plane passing through the line of intersection of ...

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  3. The point P is the intersection of the straight line joining the point...

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  4. If the lines (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1 ar...

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  5. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

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  6. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z...

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  7. The angle between the lines whose direction cosines satisfy the equa...

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  8. The distance of the point (1,0,2) from the poitn of intersection of th...

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  9. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

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  10. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

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  11. The distance of the point (1, -5, 9) from the plane x-y+z=5 measured a...

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  12. If a line has direction ratios <2,-1,-2>, then what are its direction ...

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  13. Find the Cartesian equation of the following plane: vecr cdot (hati+ha...

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  14. Show that the line , vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in t...

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  15. Find the area of the triangle whose vertices are : A(1,2,3), B(2,-1,4)...

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  16. Find the equations of the straight line passing through the point (2,...

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  17. Find the image of the point (1,6,3) in the line : x/1=(y-1)/2=(z-2)/3.

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  18. Find the equation of the plane passing through the point(-1, 3, 2) and...

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  19. Prove that if a plane has intercepts a,b,c and is at a distance of p u...

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  20. A line makes angles alpha, beta, gamma, delta with the diagonals of a ...

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