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For all d,0ltdlt1, which one of the fol...

For all `d,0ltdlt1`, which one of the following points is the reflection of the point `(d,2d,3d)` in the plane pasing through the points `(1,0,0),(0,1,0` and `(0,0,1)`?

A

`(2/3-3d,2/3-2d,2/3-d)`

B

`(-1/3+3d,2d,1/3+e)`

C

`(3d,2d,d)`

D

`(1/3+d,2/3-2d,-1/3+d)`

Text Solution

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-PLANE AND STRAIGHT LINE IN SPACE -Chapter Test
  1. For all d,0ltdlt1, which one of the following points is the reflectio...

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  2. The length of the perpendicular from the origin to the plane passing t...

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  3. The value of lamda for which the lines (x-1)/1=(y-2)/(lamda)=(z+1)/(-1...

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

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  5. The direction cosines of the line 6x-2=3y+1=2z-2 are

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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. The position vector of a point at a distance of 3sqrt(11) units from h...

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  8. The line joining the points 6veca-4vecb+4vecc, -4vecc and the line joi...

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  9. The image (or reflection) of the point (1,2-1) in the plane vecr.(3hat...

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  10. The equation of the plane through the line of intersection of the plan...

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  11. Angle between the line vecr=(2hati-hatj+hatk)+lamda(-hati+hatj+hatk) a...

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  12. The line through hati+3hatj+2hatk and perpendicular to the lines vecr=...

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  13. The distance from the point -hati+2hatj+6hatk to the straight line thr...

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  14. The position vector of the point in which the line joining the points ...

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  15. The two lines vecr=veca+veclamda(vecbxxvecc) and vecr=vecb+mu(veccxxve...

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  16. The lies vecr=veca(1)+lamdavecb(1) and vecr-veca(2)+muvecb(2) are copl...

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  17. Equation of a line passing through (-1,2,-3) and perpendicular to the ...

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  18. Equation of a line passing through (1,-2,3) and parallel to the plane ...

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  19. The distance between the planes given by vecr.(hati+2hatj-2hatk)+5=0...

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  20. Find shortest distance between the line vecr = (5hati + 7hatj + 3ha...

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  21. Find the shortest distance between the lines vecr=(hatii+2hatj+hatk)+l...

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