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Given the line L=(x-1)/3 =(y+1)/2 =(z-3)...

Given the line `L=(x-1)/3 =(y+1)/2 =(z-3)/(-1)` and the plane `pi:x-2y-z=0` , of the following assertions, the only one that is always true is:

A

L is perpendicular to `pi`

B

L lies on `pi`

C

L is parallel to `pi`, but do not lie on `pi`

D

L and `pi` intersect and not perpendicular to each other

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
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  3. Given the line L=(x-1)/3 =(y+1)/2 =(z-3)/(-1) and the plane pi:x-2y-z=...

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  4. The angle between the line (x-2)/3 = (y+1)/1 = (z-2)/(-1) and the plan...

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  5. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6...

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  6. The distance of the point (2,3,-4) from the point of intersection of t...

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  7. If the lines : (x-1)/2 =(y+1)/3 =(z-1)/4 and (x-3)/1=(y-k)/2 =z/1 in...

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  8. Equation of the plane passing through (2,3,4) and parallel to the plan...

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  9. Distance between the two planes 2 x+3 y+4 z=4 and 4 x+6 y+8 z=12 is

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  10. The planes 2x-y+4 z=5 and 5x-2.5y+10z=6 are

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  13. If alpha, beta, gamma are the angles that a line makes with the positi...

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  14. The distance of the point P(a, b, c) from the x-axis is

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  15. The equation of x-axis in space are

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  17. Distance of the point (alpha, beta, gamma) from the y-axis is

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  19. Distance of the plane vec r . (2/7 i + 3/7 j + 6/7 k ) = 1 from the or...

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