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If the image of the point P(1,-2,3) in t...

If the image of the point `P(1,-2,3)` in the plane, `2x+3y-4z+22=0` measured parallel to the line, `x/1-y/4-z/5` is `Q` , then `P Q` is equal to : `sqrt(42)` (2) `6sqrt(5)` (3) `3sqrt(5)` (4) `3sqrt(42)`

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`L:(x-1)/1=(y+2)/4=(z-3)/5=lambda`
`PD=QD`
D is Mid Point of PQ
`2x+3y-4z+22=0`
`2(lambda+1)+3(4lambda-2)-4(5lambda+3)+22=0`
`2lambda+2+12lambda-6-20lambda-12+22=0`
`-6lambda+6=0`
`lambda=1`
...
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JEE MAINS PREVIOUS YEAR-THREE DIMENSIONAL GEOMETRY-All Questions
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  2. The line passing through the points (5, 1, a) and (3, b, 1) crosses...

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  4. Let the line (x-2)/3=(y-1)/(-5)=(z+2)/2 lie in the plane x""+""3y"...

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

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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. An equation of a plane parallel to the plane x""""2y""+""2z""""5""=""0...

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  10. If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersec...

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  11. Distance between two parallel planes 2x""+""y""+""2z""=""8 and 4x"...

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  12. If the lines (x-2)/1=(y-3)/1=(x-4)/(-k) and (x-1)/k=(y-4)/2=(x-5)/1 a...

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

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

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  15. The equation of the plane containing the line 2x-5y""+""z""=""3;""x...

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  16. The distance of the point (1, 0, 2) from the point of intersection ...

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

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  18. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the plane, l x+m y-z=9...

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  19. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measur...

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  20. The distance of the point (1,3,-7) from the plane passing through the ...

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