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A plane passes through the point (1,1,1)...

A plane passes through the point `(1,1,1)` and is perpendicular to the line `(x-2)/(3) = (z+5)/(4) = (y-1)/0`. The perpendicular distance from the origin to the plane is

A

`(3)/(5)` units

B

`(5)/(3)` units

C

`(7)/(5)` units

D

`2` units

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The correct Answer is:
C
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ICSE-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS
  1. A plane passes through the point (1,1,1) and is perpendicular to the l...

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  2. The equations of the x-axis are

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  3. The coordinates of the foot of perpendicular drawn from the point P(-2...

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  4. The distance of the point P ( alpha, beta , gamma) from x-axis is

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  5. The distance of the point P ( alpha , beta , gamma) from y-axis is

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  6. A rectangular parallelepiped is formed by planes drawn through the poi...

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  7. If the direction cosines of a line are lt k, k, kgt then

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  8. If a line is equally inclined with the coordinate axes, then its direc...

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  9. The reflection of the point P (alpha, beta, gamma) in the xy-plane is

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  10. O is the origin and P is point at a distance of 3 units from origin. ...

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  11. P is a point on the line segment joining the points (3,2,-1) and (6,2,...

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  12. If the direction angles of a line are alpha, beta and gamma respective...

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  13. If a line makes angles (pi)/(3) and (pi)/(4) with the x-axis and y-axi...

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  14. The acute angle between the planes 2x-y+z=5 and x+y +2z =7 is

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  15. The equation of the plane which cuts equal intercepts of unit length o...

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  16. The distance of the plane overset(to) (r ) ((2)/(7) hat(i) + (3)/(7) h...

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  17. If the plane 2x-3y+6z=11 makes an angle sin^(-1) (alpha) with the x-ax...

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

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  19. The distance between the planes 2x+2y-z+2=0 and 4x+4y-2z+5=0 is

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  20. The angle between the lines overset(to)( r)=(4 hat(i) - hat(j) )+ lamb...

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

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