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The equation of the line passing through...

The equation of the line passing through ` hat i + 3 hat j + 2 hat k` and prependiccular to the lines `bar (r) = (1,2,-1) +lambda (2,1,1) and `bar r = (2,6,1) + mu (1,2,3)` is .........

A

`bar r = (1,2,-1) + lambda (-1,5,-3)`

B

`bar r =(1,3,-2) + lambda(1,-5,3)`

C

`bar r = (1,3,2) + lambda(1,5,3)`

D

`bar r = (1,2,3)+ lambda(1,-5,-3)`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS (MCQs)
  1. If bar = hat i + hat j and bar b = 2 hat i - hat k then the intersect...

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  2. The co-ordinats of a point on the line passing through the pionts (1,-...

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  3. The equation of the line passing through hat i + 3 hat j + 2 hat k a...

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  4. The shortest distance of the lines bar r1 = 4 hat i -3 hat j - hat k +...

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  5. The direction cosines of the line drawn from P(-5,3,1) and Q(1,5,-2) i...

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  6. The angle between the two diagonals of a cube is .....

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  7. The angle between the two diagonals of a cube is .....

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  8. A line makes the angle alpha, beta , gamma and delta with the diagonal...

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  9. The edge of a cube is of length of a. The shortest distance between th...

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  10. The projection of a line on the axes are 9,12, and 8. The length of th...

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  11. The straight lines whose direciton cosines are given by al + bm + cn =...

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  12. The foot of perpendicular drawn from the point P(1,0,2) on the line (x...

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  13. The foot of perpendicular drawn from the point P(1,0,2) on the line (x...

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  14. Prove that if the lines x = ay + b, z = cy + d and x = a'y + b', z = c...

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  15. The lines (x-1)/(3) = (y-1)/(-1) = (z+1)/0 and (x-4)/(2) = (y+0)/(0) =...

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  16. The equation of motion of a point in space is x = 2t, y = -4 t, z=4t ...

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  17. The distance of the point P (4,3,5) from Y-axis is lambda then 5lambda...

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  18. A line makes an angle of measure alpha with X-axis and Y-axis cot alph...

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

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  20. If the foot of perpendicular drawn from the point (a,b,c) and the line...

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