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The perpendicular distance from the orig...

The perpendicular distance from the origin to the plane containing the two lines, `(x+2)/3=(y-2)/5=(z+5)/7` and `(x-1)/1=(y-4)/4=(z+4)/7` is: (a) `11sqrt6` (b)`11/(sqrt6)` (c) 11 (d) `6sqrt(11)`

A

`11 sqrt(6)`

B

`6sqrt(11)`

C

`11 `

D

`(11 )/(sqrt(6))`

Text Solution

Verified by Experts

The correct Answer is:
D
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The perpendicular distance from the origin to the plane containing the two lines,(x+2)/(3)=(y-2)/(5)=(z+5)/(7) and (x-1)/(1)=(y-4)/(4)=(z+4)/(7) is: (a) 11sqrt(6)(b)(11)/(sqrt(6))(c)11(d)6sqrt(11)

The perpendicular distance from the origin to the plane containing the two lines, (x +2)/( 3) = ( y -2)/(5) = (z + 5)/(7) and (x-1)/(1) = (y-4)/(4) = (z+4)/(7), is (p)/(sqrtq), then pq is

If the distance between the plane Ax-2y+z=d .and the plane containing the lies (x+1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(4-3)/(4)=(z-4)/(5) is sqrt(6), then |d| is

If the distance between the plane Ax-2y+z=d and the plane containing the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-3)/(4)=(z-4)/(5) is sqrt(6) , then |d| is equal to….

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Find the angle between the line (x+1)/(2)=(y)/(3)=(z-3)/(6) and the plane 10x+2y-11z=3

MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -COMPETITION FILE
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  3. The distance of the point (1,-5,9) from the plane x-y+z = 5 measured a...

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

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  5. An equation of a plane parallel to the plane x-2y +2 z-5=0 and at a un...

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  6. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

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

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

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

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

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

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

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  14. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 mesure...

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  15. The distance of the point (1, 3, -7) from the plane passing through th...

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  16. If L1 is the line of intersection of the planes 2x-2y+3z-2=0, x-y+z+1=...

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  17. The perpendicular distance from the origin to the plane containing the...

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  18. A tetrahedron has vertices P(1,2,1),Q(2,1,3),R(-1,1,2) and O(0,0,0). T...

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  19. A plane passes through the point (0,-1,0) and (0,0,1) and makes an ang...

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  20. Consider a plane x+2y+3z=15 and a line (x-1)/(2)=(y+1)/(3)=(z-2)/(4) t...

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