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The image of the line (x-1)/3=(y-3)/1...

The image of the line `(x-1)/3=(y-3)/1=(z-4)/(-5)` in the plane `2x-y+z+3=0` is the line (1) `(x+3)/3=(y-5)/1=(z-2)/(-5)` (2) `(x+3)/(-3)=(y-5)/(-1)=(z+2)/5` (3) `(x-3)/3=(y+5)/1=(z-2)/(-5)` (3) `(x-3)/(-3)=(y+5)/(-1)=(z-2)/5`

A

`(x+3)/(3)=(y-5)/(1)=(z-2)/(-5)`

B

`(x+3)/(-3)=(y-5)/(-1)=(z+2)/(5)`

C

`(x-3)/(3)=(y+5)/(1)=(z-2)/(-5)`

D

`(x-3)/(-3)=(y+5)/(-1)=(z-2)/(5)`

Text Solution

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The correct Answer is:
(a)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. The angle between the lines whose direction cosines satisfy the equ...

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

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

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

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

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

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  9. Statement-I The point A(1, 0, 7) is the mirror image of the point B(1,...

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  10. The length of the perpendicular drawn from the point (3, -1, 11) to th...

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  11. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

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  12. A line AB in three-dimensional space makes angles 45^(@) and 120^(@) w...

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  13. Statement-I The point A(3, 1, 6) is the mirror image of the point B(1,...

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  14. Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...

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  15. The projection of a vector on the three coordinate axes are 6, -3, 2, ...

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  16. The line passing through the points (5, 1, a) and (3, b, 1) crosses th...

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  17. If the straight lines (x-1)/(k)=(y-2)/(2)=(z-3)/(3) and (x-2)/(3)=(y-3...

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  18. Let L be the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=...

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  19. If a line makes an angle (pi)/(4) with the positive directions of each...

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  20. If (2, 3, 5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-...

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