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The distance of the point (3,8,2) from t...

The distance of the point (3,8,2) from the line (x-1)/2 = (y-3)/4 = (z-2)/3 measured parallel to the plane 3x+2y-2z +15 = 0 is

A

2

B

3

C

6

D

7

Text Solution

Verified by Experts

The correct Answer is:
D
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. The line of intersection of the planes vec r . (3i-j+k) =1 and vec r ....

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  2. Given the line L=(x-1)/3 =(y+1)/2 =(z-3)/(-1) and the plane pi:x-2y-z=...

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  3. The ratio in which the plane vec r . (i-2j+3k) =17 divides the line jo...

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  4. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6...

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  5. Equation of the plane containing the line vec r = i+j + lambda (2i+j+4...

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  6. The sine of the angle between the straight line (x-2)/3 = (y-3)/4 = (z...

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  7. If the direction cosines of a line are 1/c, 1/c, 1/c then,

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  8. The equation of the right bisector plane of the segment joining (2,3,...

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  9. The angle between a line with direction ratio proportional to 2,2,1 an...

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  10. Equation of the plane through P(1,2,3) and parallel to the plane x+2 y...

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  11. Equation of the plane passing through the mid point of the line segmen...

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  12. If M denotes the midpoint of the line segment joining A(4 i+5j-10k) an...

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

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  14. A non-zero vector vec a is parallel to the line of intersection of the...

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  15. The projection of the line joining the points (3,4,5) and (4,6,3) on t...

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  16. The projection of a line segment on the coordinate axes are 2,3,6. The...

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  17. The equation of the plane through the intersection of the planes x+y+z...

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

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  19. If the position vectors of the points A and B are 3i+j+2k and i-2 j-4k...

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  20. Equation of the plane passing through the point (1,1,1) and perpendicu...

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