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The image of the point (- 1, 3, 4) in th...

The image of the point (- 1, 3, 4) in the plane:
x-2y=0 is:

A

(-17/3,-19/3,4)

B

(15,11,4)

C

(-17/3,-19/3,1)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
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HIMALAYA PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. The distance between the line vec r = 2i+2j+3k + lambda (i-j+4k) and t...

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

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  3. The image of the point (- 1, 3, 4) in the plane: x-2y=0 is:

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  4. Let L be the line of intersection of the planes: 2x + 3y +z = 1 and ...

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  5. If the line passing through the point (5,1,a) and (3,b,1) crosses the ...

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  6. If the straight lines: (x-1)/k=(y-2)/2=(z-3)/3 and (x-2)/3 =(y-3)/k ...

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  7. Let the line (x-2)/3=(y-1)/(-5)=(z+2)/2 lie in the plane x+3y-alpha z+...

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  8. A line AB in three-dimensional space makes angles 45^@ and 120^@ with ...

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  9. The shortest distance between the lines (x-1)/2 = (y-2)/3 = (z-3)/4 an...

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  10. The distance between the line vec r = 2i+2j+3k + lambda (i-j+4k) and t...

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  11. Equation of the line passing through (1,1,1) and parallel to the plane...

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  12. The line of intersection of the planes vec r . (3i-j+k) =1 and vec r ....

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  13. Given the line L=(x-1)/3 =(y+1)/2 =(z-3)/(-1) and the plane pi:x-2y-z=...

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  14. The ratio in which the plane vec r . (i-2j+3k) =17 divides the line jo...

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  15. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6...

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  16. Equation of the plane containing the line vec r = i+j + lambda (2i+j+4...

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  17. The sine of the angle between the straight line (x-2)/3 = (y-3)/4 = (z...

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  18. If the direction cosines of a line are 1/c, 1/c, 1/c then,

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  19. The equation of the right bisector plane of the segment joining (2,3,...

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  20. The angle between a line with direction ratio proportional to 2,2,1 an...

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