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Find the distance of the point (2, 1, 0)...

Find the distance of the point (2, 1, 0) from the plane 2x + y + 2z + 5 = 0.

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The correct Answer is:
`(10)/(3)`
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-PRACTICE WORK
  1. In the following cases, determine whether the given planes are paralle...

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  2. If the planes vecr.(hati+2hatj-3hatk)=7 and vecr.(lambdahati+2hatj-7ha...

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  3. Find the distance of the point (2, 1, 0) from the plane 2x + y + 2z + ...

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  4. If the points (1, 1, lambda) and (-3, 0, 1) be equidistant from the pl...

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  5. Find the distance between the parallel planes x + y - z + 4 = 0 and x ...

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  6. Find the distance between the parallel planes vecr.(2hati-3hatj+6hatk...

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  7. If the distance of the plane x - y + z + lambda = 0 from the point (1,...

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  8. The direction cosines of two lines are 1, -2,-2 and 0, 2, 1. Find the ...

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  9. The direction cosines of two lines are given by the following equation...

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  10. Show that the line passing through the points (4, 7, 8) and (2, 3, 4) ...

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  11. Show that the line passing through (1, -1, 2) and (3, 4, -2) is perpen...

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  12. Find the angle between the lines (5-x)/(-2)=(y+3)/(1)=(1-z)/(3) and x/...

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  13. Show that the lines (x-5)/(7)=(y+2)/(-5)=z/1 and x/1=y/2=z/3 are perpe...

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  14. Find the co-ordinates of the point where the line (x+1)/(2)=(y+2)/(3)=...

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  15. Find the co-ordinates of the point where the line through A(3, 4, 1) a...

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  16. Find the coordinates of the foot of perpendicular drawn from the point...

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  17. Find the foot of perpendicular from the point (0, 2, 3) on the line (x...

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  18. Find the image of the point (3, 5, 3) with respect to the line x/1=(y-...

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  19. Find the equation of the plane passing through the points (1, 2, 3) an...

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  20. Find the equation of the plane passing through the line of intersectio...

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