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Distance between the parallel planes 2x-...

Distance between the parallel planes 2x-3y+4 z-1=0 and 4x-6y+8z+8=0 is

A

`5/sqrt29`

B

`9/2sqrt29`

C

`1/sqrt29`

D

`9/sqrt29`

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. The acute angle between the planes x+3y-z+2=0 and 2 x-3y+z-1=0 is

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  2. The angle between the two planes 3x- 4y + 5z = 0 and 2x-y - 2z = 5 is ...

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  3. Distance between the parallel planes 2x-3y+4 z-1=0 and 4x-6y+8z+8=0 i...

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  4. The direction cosines of the normal to the plane 2x-2y+z-1 =0 are

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  5. The intercepts of the plane 3 x+4 y-5 z-4=0 on the coordinate axes are

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  6. A plane meets the coordinate axes at A, B, C such that the centroid of...

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  7. If the plane 3x+4y-3z+2=0 cuts the coordinate axes at A, B, C, then th...

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  8. A plane meets the coordinate axes at A, B, C such that the centroid of...

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  9. The plane x/4 + y/3 -z/5 =1 cuts the axes at A, B, C then the area of ...

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  10. The distance of the point (1,0,2) from the point of intersection of t...

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  11. The length of the perpendicular from the origin to the plane 3x+4y+12z...

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  12. Find the distance of the point (2,3,-5) from the plane r.(i+2j-2k)=9.

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  13. The foot of the perpendicular from (-2,3) to the line 2 x-y-3=0 is

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  14. The image of the point (- 1, 3, 4) in the plane: x-2y=0 is:

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  15. Find the image of (2,3) on the line 3x+5y=4.

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  16. If the planes vec r . (2i + lambda j +k) = 3 and vec r . (4i+j+muk) = ...

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  17. The angle between the lines (x+1)/2 = (y-2)/5 = (z+3)/4 and (x-1)/1 = ...

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  18. The angle between the lines (x-1)/1 = (y-1)/1 = (z-1)/2 and (x-1)/(-sq...

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  19. The angle between the lines (x+1)/2 = (y-2)/5 = (z+3)/4 and (x-1)/1 = ...

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  20. The perpendicular distance of P(1,2,3) from the line (x-6)/3 = (y-7)/2...

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