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If the plane passing through the origin and parallel to the line `(x-1)/(2)=(y+3)/(-1)=(z+1)/(-2)` such that the distance between them is `(5)/(3)` then the equation of the plane is

A

`x+2y+2z=0`

B

`x-2y-2z=0`

C

`x+2y-2z=0`

D

`x-2y+2z=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
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  2. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

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  3. If the plane passing through the origin and parallel to the line (x-1)...

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  4. If lamdax+4y+5z=7,4x+4lamday+10z-14=0 represent the same plane , then ...

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  5. If the line vecr=(hati-2hatj+3hatk)+lambda(2hati+hatj+2hatk) is parall...

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  6. If the line barr=(hati-hatj+3hatk)+lamda(hati-hatj+mhatk) is parallel...

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  7. The plane 2x+3y+kz-7=0 is parallel to the line whose direction ratios...

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  8. Find the distance between the parallel planes 2x-y+2z+3=0a n d4x-2y+4z...

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  9. Equation of the plane parallel to the planes x+2y+3z-5=0," "x+2y+...

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  10. If the planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a line, ...

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  11. If from a point P(a ,b ,c) perpendiculars P Aa n dP B are drawn to Y Z...

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  12. If A and B are foot of perpendicular drawn from point Q(a,b,c) to the ...

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  13. If a line joining the points (1,-1,2)and(3,2,-1) is perpendicular to ...

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  14. The equation of the plane containing the lines vecr=(hati+hatj-hatk)+l...

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  15. Show that the lines vecr=(2hatj-3hatk)+lambda(hati+2hatj+3hatk) and ...

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  16. Show that the lines vecr=(2hatj-3hatk)+lambda(hati+2hatj+3hatk) and ...

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  17. Prove that the lines (x+1)/3=(y+3)/5=(z+5)/7a n d(x-2)/1=(y-4)/4=(z-6)...

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  18. The equation of plane containing the lines barr=(2hatj-3hatk)+lamda(ha...

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  19. Show that the lines (x+3)/(-3)=(y-1)/1=(z-5)/5and (x+1)/(-1)=(y-2)/2=(...

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  20. Show that the lines (x+3)/(-3) = (y-1)/1 = (z-5)/5 and (x+1)/ (-1) = (...

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