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Let P(3, 2, 6) be a point in space and ...

Let `P(3, 2, 6)` be a point in space and Q be a point on the line `r=(hat(i)-hat(j)+2hat(k))+mu(-3hat(i)+hat(j)+5hat(k))`. Then the value of `mu` for which the vector the vector PQ is parallel to the plane `x-4y+3z=1` is

A

`1/4`

B

`-1/4`

C

`1/8`

D

`-1/8`

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
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  2. If the straight lines : (x-1)/k=(y-2)/2=(z-3)/3 and (x-2)/3=(y-3)/k=(z...

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  3. Let P(3, 2, 6) be a point in space and Q be a point on the line r=(ha...

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  4. A line with positive direction cosines passes through the pint P(2,-1,...

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  5. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

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  6. The projection of a vector on the three coordinate axes are 6, -3, 2, ...

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  7. A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...

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  8. Equation of the plane containing the straight line x/2=y/3=z/4 and per...

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  9. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha, w...

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  10. If the angle between the line x=(y-1)/(2)=(z-3)(lambda) and the plane ...

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  11. The length of the perpendicular drawn from the point (3, -1, 11) to th...

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  12. The distance of the point (1,-5, 9) fromthe plane x-y+z=5, measured al...

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  13. If the line (x-1)/(2)=(y+1)/(3)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/...

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  14. An equation of a plane parallel to the plane x-2y+2z-5=0 and at a unit...

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  16. The point P is the intersection of the straight line joining the point...

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  17. If the lines (x-2)/1=(y-3)/1=(z-4)/(-k) and (x-1)/k=(y-4)/2=(z-5)/1 ar...

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  18. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

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  19. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+z...

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  20. The angle between the lines whose direction cosines satisfy the equa...

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