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The plane 2x - 3y + 6z + 9 =0 makes an a...

The plane 2x - 3y + 6z + 9 =0 makes an angle with positive direciton of X -axis is ........

A

`sin^(-1)""(1)/(7)`

B

`tan^(-1)""(2)/(3sqrt(5))`

C

`sin^(-1)""(3sqrt(5))/(7)`

D

`pi/2`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The equation of the plane passing through A(3,1,2) and perpendicular t...

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  2. The distance of the plane barr (12,-4,3) = 65 from the origin is ........

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  3. The plane 2x - 3y + 6z + 9 =0 makes an angle with positive direciton o...

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  4. Expression of x+y + z = 1 in the form of x cos alpha + y cos beta + z ...

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  5. The perpendicular distance between the planes x + 2y- 3z = 2 and 2x+4...

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  6. A line (x-3)/(1) = (y-6)/(5) = (z-4)/(4) is in the plane which passes ...

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  7. The perpendicular distance of the point (3,2,1) from the plane 3x+4y-2...

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

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

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

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

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

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

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

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

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

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

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

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

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

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