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A line passing a given point A(x(1),y(1)...

A line passing a given point `A(x_(1),y_(1),z_(1))` has direction cosines l,m,n If is a point on the line such that AP = r then the co ordinates of P are .

A

`(x_(1)/r,(y_(1))/r,(z_(1))/r )`

B

`(x_(1)+lr,y_(1)+mr,z_(1)+nr)`

C

`(x_(1)-lr,y_(1)-mr,z_(1)-nr)`

D

`(rx_(1),ry_(1),rz_(1))`

Text Solution

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The correct Answer is:
B
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MARVEL PUBLICATION-LINE IN SPACE -MULTIPLE CHOICE QUESTIONS
  1. Equations of the passing through the point (0,1,2) and equally inclin...

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  2. A line passing a given point A(x(1),y(1),z(1)) has direction cosines l...

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  3. Equations of the line joining (2,-3,1)and (3,-4,-5) are

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  4. Equations of the line passing through (1,2,3)and (-3,4,3) are

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  5. Equations of the line passing through (a,b,c) and parallel to Z - axis...

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  6. Equations of the line passing through (a,b,c) and perpendicular to Z -...

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  7. Line (x-2)/(-2) = (y+1)/(-3) = (z-5)/1 intersects the plane 3x+4y+z...

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  8. Equations of the line passing through the origin and the point (a,b,c)...

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  9. Equations of the line passing through (-1,2,-3) and parallel to the li...

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  10. Equations of the line through (4,-5,6) and perpendicular to the lines ...

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  11. Line (x-1)/2= (y-2)/3=(z-3)/4 intersects the plane 3x+6y+5z = 0 in th...

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  12. The point at which the line joining the points (2, -3, 1) and (3, -4, ...

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  13. Distance of the points of intersection of the line (x-3)/(1)=(y-4)/(2)...

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  14. Distance from the point (-3,2,5) to the point where the line (x+3)/2= ...

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  15. Distance of the point of intersection of the line (x-2)/3=(y+1)/4=(z-2...

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  16. Distance of the point (1,-2,3) from the plane x-y+z = 5 measured paral...

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  17. Co - ordinates of the foot of the perpendicular drawn from the origin ...

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  18. The line (x-2)/3 = (y-3)/4 = (z-4)/5 is parallel to the plane

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  19. If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies exactly on the plane 2x...

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  20. Equation of the plane containing the line L(1) : (x-1)/3 = (y+6)/...

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