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Read the following passage and answer th...

Read the following passage and answer the questions. Consider the lines
`L_(1) : (x+1)/(3)=(y+2)/(1)=(z+1)/(2)`
`L_(2) : (x-2)/(1)=(y+2)/(2)=(z-3)/(3)`
Q. The distance of the point `(1, 1, 1)` from the plane passing through the point `(-1, -2, -1)` and whose normal is perpendicular to both the lines `L_(1) and L_(2)`, is

A

`(2)/(sqrt(75))` unit

B

`(7)/(sqrt(75))` units

C

`(13)/(sqrt(75))` unit

D

`(23)/(sqrt(75))` units

Text Solution

Verified by Experts

The correct Answer is:
(c)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
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  13. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

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  14. The angle between the lines whose direction cosines satisfy the equ...

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

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

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

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

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

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