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The distance of the point (2,1,-1) from ...

The distance of the point (2,1,-1) from the plane `x-2y+4z=9` is :

A

`-13/sqrt21`

B

`9/sqrt6`

C

`13/sqrt21`

D

`-9/sqrt6`

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. The direction ratios of a line normal to the plane x+2y-3z+4=0 are

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  2. Find the equation of the plane with interceots 2, 3 and 4 on the x, y ...

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  3. The distance of the point (2,1,-1) from the plane x-2y+4z=9 is :

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  4. If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies exactly on the plane 2x...

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  5. The point which lies in the plane given by the equations 2x+y-3z=10 is...

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  6. The angle between two planes : 3x-6y+2z=7 and 2x+2y-2z=5 is :

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  7. Direction cosines of the normal to the plane: 2x-3y+4z-6=0 are :

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  8. If a vector makes angles alpha, beta, gamma with x, y and z axes respe...

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  9. If a line makes angles of 90^@,60^@ and 30^@ with the positive x, y an...

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  10. The direction cosines of the line joining the points (-2, 4, -5) and (...

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  11. Distance between plane defined by 3x + 4y + 5 = 0 and the point (5, 0,...

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  12. Vector equation of the line (x+1)/(2)=(y-4)/(4)=(z+6)/(3)

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  13. The value of lambda for which the plane vecr*(2hati-2hatj+4hatk)=5 is ...

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  14. Direction casines of z-axis are

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  15. If a line has direction ratios <2,-1,-2>, then what are its direction ...

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  16. A line makes angles 45^@ and 60^@ with the positive direction of the a...

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  17. Equation of line passing through the point (2,3,1) and parallel to the...

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  18. If the direction cosines of a vector of magnitude 3 are <2/3, -a/3, 2/...

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  19. Equation of line passing through the point (2,3,1) and parallel to the...

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  20. A unit vector parallel to the straight line: (x-2)/3=(3+y)/-1=(z-2)/-4...

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