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The plane ax+by+cz=105 contain the line...

The plane `ax+by+cz=105` contain the lines `2x-y+z=3and3x+y+z=5` . If point (2 ,1, -1) is at a distance of `(1)/(sqrt(6))` from the plane , then `a+b+c=`

A

0

B

110

C

`-70`

D

`-105`

Text Solution

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The correct Answer is:
B
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NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
  1. The distance of point (2,-1,0) from the plane 2x+y+2z+8=0 is

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  2. Show that the points (-3,0,1) and (1,1,1) are equidistant from the pla...

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  3. If d(1)andd(2) are the distances of points (2 ,3 ,4 ) and (1 , 1 ,4 ...

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  4. Find the equations of the planes parallel to the plane x - 2y + 2z -4 ...

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  5. Find the equations of the plane parallel to the plane x + 2y + 2z + 8 ...

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  6. If the distance of the point (1,1,1) from the origin is half its dista...

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  7. If the perpendicular distance of point A other than origin from the pl...

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  8. The plane ax+by+cz=105 contain the lines 2x-y+z=3and3x+y+z=5 . If po...

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  9. Which of the following is correct?

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  10. The equation of a plane which cuts equal intercepts of unit length on ...

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  11. If the plane x- 3y +5z= d passes through the point (1, 2, 4), then the...

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  12. If a plane meets the co-ordinate axes in A ,B , C such that the centr...

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  13. If a variable plane which is at a constant distance 3p from the origin...

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  14. If plane meets co-ordinates axes at A , B ,C such that centroid of tri...

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  15. IF for a plane the intercepts on the coordinate axes are 8,4,4 then th...

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  16. The plane x / 2 + y / 3 + z / 4 = 1 cuts the co-ordinate axes in A, B,...

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  17. The equation of the plane through (-1,1,2), whose normal makes equal a...

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  18. If the distance of points 2hati+3hattj+lamdahatk from the plane r*(3ha...

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

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

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