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If l,m,n be DC.s of a line, then the lin...

If l,m,n be DC.s of a line, then the line is perpendicular to the plaen x - 3y + 2z - 1 = 0 if
[(i) l = 1, m = - 3,n = 2 (ii) `(l)/(1) = (m)/(-3) = (n)/(2)`
(iii) (l - 3m + 2n = 0]`.

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The correct Answer is:
`(n)/(2)`
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ARIHANT PRAKASHAN-THREE DIMENSIONAL GEOMETRY -TOPIC -3- PRACTICE QUESTIONS
  1. Find the coordinates of the points of intersection of the line 3x - 3=...

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  2. What is the angle between the lines (x+2)/-4 = (y + 3)/5 = (z - 1)/3 a...

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  3. If l,m,n be DC.s of a line, then the line is perpendicular to the plae...

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  4. Find the equation of a line parallel to Y-axis and passing through the...

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  5. If the line (x-3)/2=(y+k)/(-1)=(z+1)/(-5) lies on the plane 2x-y+z-7 =...

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  6. Obtain the equation of the line through the point (1, 2, 3) and parall...

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  7. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

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  8. Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...

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  9. Find the perpendicular distance of the point (-1,3,9) from the line (x...

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  10. Using the method of elemination find the symmetrical form of equation ...

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  11. Find the value of r, if the line  (x-1)/(1) = (y+2)/(3) = (z-1)/(-1) =...

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  12. Find the co-ordinates of the point where the perpendicular from the or...

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  13. Determine the symmetric form of the equation to the line of intersecti...

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  14. Find the equation of the plane passing through the line x = y = z and ...

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  15. Find the intersection of the line passing through the points (3, -2, 1...

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  16. Prove that the lines (x + 3)/(2) = (y + 5)/(3) = (z - 7)/(-3) and (x +...

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  17. Find the equation of the straight line which passes through the point ...

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  18. Find the angle between the pair of lines (x+3)/(3) = (y-1)/(5) = (z+...

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  19. Find the shortest distance between the lines  (x-3)/(1) = (y - 5)/(-2)...

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  20. Find the angle between the plane x+y+4=0 and the line (x+3)/2=(y-1)/1=...

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