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The number of planes that are equidis...

The number of planes that are equidistant from four non-coplanar points is a. `3` b. `4` c. `7` d. `9`

A

3

B

4

C

7

D

9

Text Solution

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The correct Answer is:
c
Let the point be A,B C and D.
The number of planes which have three points on one side and the foruth point on the side is 4. The number of planes which have two points on each side of the plane is 3.
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CENGAGE-THREE-DIMENSIONAL GEOMETRY -Exercise (Single)
  1. If P1:vec r.vecn1-d1=0 P2:vec r.vec n2-d2=0 and P3:vec r.vecn3-d3=0 ar...

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  2. The length of projection of the line segment joining the points (1,0...

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  3. The number of planes that are equidistant from four non-coplanar po...

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  4. In a three-dimensional coordinate system, P ,Q ,a n dR are images o...

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  5. A plane passing through (1,1,1) cuts positive direction of coordinates...

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  6. If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...

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  7. Find the point of intersection of line passing through (0,0,1) and ...

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  8. Shortest distance between the lines (x-1)/1=(y-1)/1=(z-1)/1a n d(x-2...

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  9. Distance of point P(vecP) from the plane vecr.vecn=0 is

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  10. The reflection of the point veca in the plane vecr.vecn=q is (A) veca+...

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  11. The line vecr= veca + lambda vecb will not meet the plane vecr cdot ...

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  12. If a line makes an angel of pi/4 with the positive direction of eac...

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  13. The ratio in which the plane vecr.(veci-2 vecj+3veck)=17 divides the l...

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  14. then image of the point (-1,3,4) in the plane x-2y=0

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  15. The perpendicular distance between the line vecr = 2hati-2hatj+3hatk+l...

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  16. Let L be the line of intersection of the planes 2x""+""3y""+""z""="...

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  17. The length of the perpendicular drawn from (1,2,3) to the line (x-6...

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  18. If the angle theta between the line (x+1)/1=(y-1)/2=(z-2)/2 and the pl...

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  19. The intersection of the spheres x^2+y^2+z^2+7x-2y-z=13a n dx^2+y^2=...

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  20. If a plane cuts off intercepts OA = a, OB = b, OC = c from the coordi...

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