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The angle between the planes bar.r (1,2,...

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

A

`cos^(-1)""(5sqrt(2))/(9)`

B

`sin^(-1)""(sqrt(6))/(9)`

C

`pi- cos^(-1)""(sqrt(6))/(9)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. The equation of the plane whose X- intercept 4,Y - intercept (-6), Z- ...

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

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

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

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

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

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

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

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

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

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

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

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  13. If the line (x-4)/(1) = (y-2)/(1) = (z+k)/(2) lies in the plane 2x -4y...

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  14. The direction of the line of intersection of the planes 2x + 3y + z-1 ...

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  15. The pane x+2y -2z = 6 makes the intercepts with the axes, The centroid...

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  16. The angle between the lines (x-1)/(2) = (y+1)/(1) =(1-z)/2 and x = k +...

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  17. The plane passes through the point (1,-1,-1) and its normal is perpend...

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  18. The plane ax + by + cz = 1 intersects the axes in A, B and C respetive...

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  19. The plane makes the angles (pi)/(4),(pi)/(4) and (pi)/(2) with the pos...

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  20. The equation of the plane passing through the pionts (2,5,-3) and perp...

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