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The acute angle between the line joining...

The acute angle between the line joining the points (2,1,-3) and (-3,1,7)and a line parallel to `(x-1)/3=y/4=(z+3)/5` through the point (-1,0,4) is

A

`cos^(-1)((7)/(5sqrt(10)))`

B

`cos^(-1)((1)/(sqrt(10)))`

C

`cos^(-1)((3)/(5sqrt(10)))`

D

`cos^(-1)((1)/(5sqrt(10)))`

Text Solution

Verified by Experts

The correct Answer is:
A
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TARGET PUBLICATION-LINE-Competitive Thinking
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  2. The angle between two lines (x)/(2)=(y)/(2)=(z)/(-1)and(x-1)/(1)=(y-1)...

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

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  4. The angle between the straight lines (x+1)/(2)=(y-2)/(5)=(z+3)/(4) ...

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

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  10. DeltaABC is formed by A(1,8,4),B(0,-11,4)andC(2,-3,1). If D is the foo...

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  11. Lines vecr=(3+t)hati+(1-t)hatj+(-2-2t)hatk,tinR and x=3+k,y=1-k,z=-2-2...

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  12. The point of intersection of the lines (x-5)/3=(y-7)/(-1)=(z+2)/1a ...

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

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  15. The lines (x-1)/(1)=(y-1)/(2)=(z-1)/(3) and (x-4)/(2)=(y-6)/(3)=(z-7)...

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  16. A line with direction cosines proportional to 2,1,2 meet each of the l...

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  17. The foot of the perpendicular drawn from the point (1,8,4) on the line...

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  19. Perpenficular distance of the point (1, 2, 3) from the line (x-6)/3=...

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  20. The distance of the point (-2,4,-5) from the line (x+3)/(3)=(y-4)/(5)=...

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