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The plane 2x + 3y -2sqrt(3)z + 25 = 0 ma...

The plane `2x + 3y -2sqrt(3)z + 25 = 0` makes an angle.......with X-axis.

A

`sin^(-1) ""(2)/(sqrt(21))`

B

`tan^(-1)""(2)/(sqrt(21))`

C

`sin^(-1)""(1)/(sqrt(21))`

D

`cos^(-1)""(1)/(21)`

Text Solution

Verified by Experts

The correct Answer is:
B
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The perpendicular distance of the point (3,2,1) from the plane 3x+4y-2...

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  2. The point of intersection of the line (x-4)/(2) = (y+3)/(5) = (z-3)/(3...

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  3. The plane 2x + 3y -2sqrt(3)z + 25 = 0 makes an angle.......with X-axis...

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  4. The plane passing the points (1,1,1),(1,-1,1) and (-1,3,-5) contains t...

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  5. The direction of theline passing through the point (-1,2,4) and parall...

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  6. The equation of the plane passing through (1,-4,5) and having normal (...

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  7. The plane x-2y + 3z= 2 makes an angle ... With Y-axis.

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  8. If the foot of perpendicular from origin to the plane is (2,1,0) then ...

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  9. The direction of the line of instersection of the planes 3x-z = 5 and ...

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  10. The perpendicular distance of the plane y-2x + 5 = z from the point (0...

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  11. The equation of the passing through the point (2,-1,3) and perpendicul...

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

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  13. The equation of the plane whose X- intercept 4,Y - intercept (-6), Z- ...

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  14. The vector equation of the plane 2x-z+1 = 0 is................

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  15. The angle between the planes bar.r (1,2,-1) = 3 and 2x -y + 2z = 2 is ...

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  16. The equation of the plane passing through the intersection of the plan...

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  17. The angle makes by the plane 2x + 3y + 6z - 15=0 with Y-axis is .........

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  18. The equation of the plane passing through (4,5,-1) and with normal 3 h...

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  19. The sum of the Y and Z intercepts made by the plane 3x + 4y -6z = 12 i...

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  20. If the foot of perpendicular from the origin to the plane is (a,b,0) t...

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