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The plane x-2y + 3z= 2 makes an angle .....

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

A

`cos^(-1)""(2)/(sqrt(14))`

B

`sin^(-1)""(2)/(14)`

C

`tan^(-1)""(2)/(sqrt(14))`

D

`sin^(-1)""(2)/(sqrt(10))`

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If the line (x-3)/(2) = (y +2)/(-1) = (z+4)/(3) is in the plane lx + ...

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  19. If the distance between the palens 2x- y + 2z = 1 and 4x-2y + 4z = k...

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  20. If the foot of perpendicular from origin to the plane is (1,2,3) then ...

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