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If the two lines (x-1)/(-3) = (y-2)/(2m)...

If the two lines `(x-1)/(-3) = (y-2)/(2m) = (z-3)/2 and (x-1)/(3m) = (y-5)/1 = (z-6)/(-5)` are mutually perpendicular , then : m

A

`-7/10`

B

`7/10`

C

`-10/7`

D

`10/7`

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Verified by Experts

The correct Answer is:
C
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(i) Show that the line (x+3)/(2) = (y+1)/(-1) = (z+3)/(3) and (x)/(5) = (y-5)/(1) = (z-3)/(-3) are perpendicular. (ii) Show that the lines (x-4)/(-2) = (y+3)/(4) = (z+1)/(1) are mutually perpendicular.

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MARVEL PUBLICATION-LINE IN SPACE -MULTIPLE CHOICE QUESTIONS
  1. Foot of the perpendicular drawn from the origin to the line x-2 = (y+3...

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  2. Foot of the perpendicular drawn from the point (3,-1,11) to the x/2 = ...

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  3. Find the distance of the point P(3,8,2) from the line 1/2(x-1)=1/4(...

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  4. Show that the lines (x5)/4,(y-7)/4=(z+3)/(-5) and )x-8)/7=(y-4)/1=(z-5...

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  5. Lines (x+1)/(-3) = (y-3)/2 = z+2 and x= (x-7)/(-3) = (z+7)/2 lie in ...

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  6. Lines (x-1)/2 = (y-2)/3 = (z-3)/4 and (x-2)/3 = (y-3)/4 = (z-4)/5 lie ...

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  7. A plane II makes intercept 3 and 4 respectively on x and z axes. If II...

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  8. A vector vecr is equally inclined with the coordinates axes. If the ti...

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  9. If the two lines (x-1)/(-3) = (y-2)/(2m) = (z-3)/2 and (x-1)/(3m) = (y...

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  10. Find the two points on the line ( x - 2 ) / ( 1 ) = ( y + 3)...

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  11. Equations of the line of intersection of the two planes y = b , z = c ...

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  12. Find the coordinates of the points on the line (x +1)/(2) = (y - 2)/(3...

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  13. Find the two points on the line ( x - 2 ) / ( 1 ) = ( y + 3)...

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  14. Shortest distance between the lines bar (r ) (2i- j) + lambda (2i+j-3...

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  15. Shortest distance between the lines bar (r ) = (1 , 2, 1 ) + lambda ...

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  16. The two lines bar (r ) = (1,1,-1) + lambda (3,-1,0) and bar (r ) = ( ...

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  17. Length of perpendicular from the point (3,2,1) to the line (x-7)/2 = ...

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  18. The angle between the lines (x-4)/1 = (y-3)/1 = (z-2)/2 ,

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  19. If P(5,6,-1),Q (2,-7,beta ) and R (-1,-20,7) are collinear , then bet...

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  20. Find the point where the line (x-1)/2=(y-2)/-3=(z+3)/4 meets the plane...

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