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If the image of the point P(1,-2,3) in t...

If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 mesured parallel to the line, `(x)/(1)=(y)/(4)=(z)/(5)` is Q, then PQ is equal to

A

`6sqrt(5)`

B

`3sqrt(5)`

C

`2sqrt(42)`

D

`sqrt(42)`

Text Solution

Verified by Experts

The correct Answer is:
C
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TARGET PUBLICATION-PLANE-COMPETATIVE THINKING
  1. If L1 is the line of intersection of the planes 2x-2y+3x-2=0x-y+z+1=0 ...

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  2. The equation of a plane passing through the line of intersection of th...

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  3. The point A(-1,3,0), B(2,2,1) and C(1,1,3) determine a plane. The dist...

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  4. Distance between two parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

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  5. In a three-dimensional x y z space , the equation x^2-5x+6=0 represent...

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  6. The plane (x)/(a)+(y)/(b)+(z)/(c )=3 meets the co-ordinate axes in A,B...

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  7. A plane cuts the coordinate axes X,Y,Z at A,B,C respectively such that...

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  8. Plane ax+by+cz=1 intersect axes in A,B,C respectively. If G((1)/(6),-(...

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  9. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

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  10. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

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  11. The point of intersection of the line (x)/(1)=(y-1)/(2)=(z+2)/(3) and ...

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  12. The co-ordinate of the point where the line (x-6)/(-1)=(y+1)/(0)=(z+3)...

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  13. The point of intersection of the line (x-1)/3=(y+2)/4=(z-3)/-2 and the...

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  14. which of the following points is on the line of intersection of planes...

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  15. The distance of the point (1, 0, 2) from the point of intersection ...

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  16. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha...

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  17. A point P lies on a line through Q(1,-2,3) and is parallel to the line...

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

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  19. The length of the projection of the line segment joining the points (5...

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  20. If the three planes x=5,2x-5ay+3z-2=0 and 3bx+y-3z=0 contain a common ...

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