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A plane which is perpendicular to two pl...

A plane which is perpendicular to two planes `2x-2y+z=0 and x-y+2z = 4` passes through `(1, -2, 1)`. The distance of the plane from the point (1, 2, 2) is

A

5202

B

5500

C

5604

D

6000

Text Solution

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The correct Answer is:
A
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VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -LEVEL-1
  1. p (2,3,-4) ,vecb =2 hati - hatj + 2 hatk Cartesian equation of a pla...

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  2. If theta the angle between the line (x+1)/(3) = (y-1)/(2) = (z-2)/(4) ...

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  3. A plane which is perpendicular to two planes 2x-2y+z=0 and x-y+2z = 4 ...

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  4. The coordinates of the point were the line joining the points (2,-3,1...

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  5. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

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  6. The equation (x-1)(x-2)=0 in thre dimensional space is represented by ...

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  7. If p (1) =0 and p (2) =0 be two non-parallel planes, then the equation...

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  8. If vecr = hati + hatj + lamda( 2 hati + hatj + 4 hatk ) and vecr (hati...

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  9. The line (x)/(1) = y/2=z/3 and the plane x-2y+ z=0:

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  10. The direction ratio's of the line x- y+z-5=0=x-3y -6 are

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  11. A tetrahedron is three dimensional figure bounded by four non coplanar...

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  12. A tetrahedron is three dimensional figure bounded by four non coplanar...

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  13. A tetrahedron is three dimensional figure bounded by four non coplanar...

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  14. Find the perpendicular distance of an angular point of a cube from a d...

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  15. The plane passing through the point (-2, -2, 2) and containing the lin...

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  16. The equation of the plane contaiing the lines vecr=veca(1)+lamda vecb ...

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  17. Lines vecr = veca(1) + lambda vecb and vecr = veca(2) + svecb will lie...

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  18. The symmetric form of the equation of the line x + y-z =3, 2x+3y+ z+4=...

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  19. Which of the statement is true? The coordinate planes divide the line ...

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  20. The distance of point A(-2,3,1) from the line P Q through P(-3,5,2), w...

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