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A line with positive direction cosines p...

A line with positive direction cosines passes through the point `P(2,-1,2)` and makes equal angles with the coordinate axes. If the line meets the plane `2x+y+z=9` at the point Q, then the length PQ equals.

A

1

B

`sqrt(2)`

C

`sqrt(3)`

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-STRAIGHT LINES (3D)-PRACTICE EXERCISE
  1. A line with positive direction cosines passes through the point P(2,-1...

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  2. The value of k for which the lines (x+1)/(-3)=(y+5)/(2k) =(z-4)/(2)...

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  3. If the lines (x-1)/(2) =(y-2)/(a)=(z-3)/(4) and (x+1)/(b)=(y+2)/(1)=(...

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  4. The angles between the lines (x+1)/(-3) =(y-3)/(2)=(z+2)/(1) and x=(y-...

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  5. The angle between the lines 2x = 3y = -z and 6x = -y= -4z is

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  6. Angle between the lines (x-2)/(3)=(y+1)/(-2) = z-2 and (x-1)/(2)=(y...

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  7. The line x = 1, y = 2 is

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  8. The distance between the line (x-2)/(1)=(y+2)/(-1)=(z-2)/(4) and the...

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  9. The value of k such that (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies in the pla...

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  10. If the line (x-3)/(-4)=(y-4)/(-7)=(z+3)/(13) lies in the plane 5x-y+z ...

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  11. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersect the curve x^(2)+y^(2...

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  12. Equation of the line 2x + z - 4 = 0 = 2y + z in symmetric form is

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  13. Equation of a line passing through (1,-2, 3) and parallel to the plane...

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  14. The line (x-1)/(3)=(y-3)/(k)=(z+1)/(5) is perpendicular to the plane 6...

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  15. The foot of the perpendicular from the point (1,2,3) to the line (x)/(...

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  16. The image of the point (1, 2, 3) in the line (x)/(2)=(y-1)/(3)=(z-1)/(...

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  17. The point of intersection of the lines (x-4)/(1)=(y+3)/(-4)=(z+1)/(4) ...

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  18. The shortest distance· between the two· lines (x- 4) / 1 = (y+ 1) / 2 ...

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  19. The equation of a line through (-2, 3, 4) and parallel to the planes 2...

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  20. A plane which passes through the point (3,2,0) and the line (x-3)/(1)=...

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  21. Distance of the origin from the point of intersection of the line (x)/...

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