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Find the coordinates of the points on the line `(x +1)/(2) = (y - 2)/(3) = (z + 3)/(6)`, which are at a distance of 3 units from the point ( -1 , 2 , -3).

A

`(1/7,-23/7, 3/7), (13/7, -5/7, 39/7)`

B

`(-1/7, 23/7, -3/7), (13/7, -5/7, 39/7)`

C

`(-1/7, 23/7, -3/7), (-13/7, 5/7, -39/7)`

D

`(1/7, -23/7, 3/7), (-13/7, 5/7, -39/7)`

Text Solution

Verified by Experts

The correct Answer is:
C
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NIKITA PUBLICATION-LINE-MULTIPLE CHOICE QUESTIONS
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  2. Find the vector equation of a line parallel to the vector 2hati-hatj+2...

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

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

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  5. If AB=21, B-=(-2,1,-8) and the direction cosines of AB are 6/7, 2/7, 3...

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  6. A line passes through two points A(2,-3,-1) and B(8,-1,2). The coordin...

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  7. If the lines x=a(1)y + b(1), z=c(1)y +d(1) and x=a(2)y +b(2), z=c(2)y ...

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  8. If the lines (1 -x )/(3) = ( 7y - 14)/(2 lamda) = (z - 3)/(2) "and" (7...

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  9. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(-2)a n d(x-1)/(3k)=(y-5)/1=(...

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  10. If the lines x-2 = ay-3 =(2-z)/3 and bx +1 = y+4=z are perpendicular t...

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  11. The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)...

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  12. Find the angle between the pair of line: vecr=3hati+2hatu-4hatk+lamds(...

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  13. Find the angle between the following pair of line: r=2hati-=5hatj+hatk...

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  14. Find the angle between the pair of lines (x -1 )/(4) = ( y - 3)/(1)...

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

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

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  17. The angle between the lines (x-1)/1 = (y-1)/1 = (z-1)/2 and (x-1)/(-sq...

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  18. The angle between the lines 2x=3y=-z and 6x=-y=-4z is

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  19. Find the angle between the following pair of lines: A lines with direc...

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  20. The acute angle between the line joining the points A(2,1,-3), B(1,-1,...

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