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If p(1) and p(2) are the lengths of perp...

If `p_(1)` and `p_(2)` are the lengths of perpendiculars from the points `hati - hatj + 3hatk` and `3hati + 4hatj + 3hatk` to the plane `barr *(5hati + 2hatj - 7hatk) + 8 = 0`, then

A

`d_(1)ltd_(2)`

B

`d_(1)gtd_(2)`

C

`d_(1)=d_(2)`

D

`d_(1)=2d_(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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NIKITA PUBLICATION-PLANE-MULTIOLE CHOICE QUESTIONS
  1. Find the distance of the point hati + 2hatj - hatk from the plane barr...

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  2. Find the distance of the point 2hati + hatj + hatk) from the plane bar...

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  3. If p(1) and p(2) are the lengths of perpendiculars from the points hat...

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  4. If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr....

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  5. If the line barr=(hati+hatj)+lamda(2hati+hatj+4hatk) is parallel to th...

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  6. The distance of point (2,-1,0) from the plane 2x+y+2z+8=0 is

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

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

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

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

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

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

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

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  14. Which of the following is correct?

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

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

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

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

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

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

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