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If P is the point (2,1,6) then find the ...

If P is the point `(2,1,6)` then find the point Q such that PQ is perpendicular to the plane x + y − 2 z = 3 and the midpoint of PQ lies on it

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The correct Answer is:
`(6,5,-2)`
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MARVEL PUBLICATION-THREE DIMENSIONAL GEOMETRY-MULTIPLE CHOICE QUESTIONS
  1. If P is the point (2,1,6) then find the point Q such that PQ is perpen...

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  2. If alpha,beta,gamma are the angles which a line makes with OX,OY and O...

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  3. If alpha,beta ,gamma are direction angles of a line , then cos 2alpha ...

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  4. Direction cosines of a line , for which alpha = beta and gamma = 45^(...

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  5. If a line is inclined at 60^(@) and 30^(@) with the X-and Y-axes respe...

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  6. The direction consines of a line which lies in XZ-plane and making an ...

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  7. Show that no line in space can make angles (pi)/(6) and (pi)/(4) with ...

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  8. If a line is equally inclines to co - ordinate to co - ordinate axes ,...

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  9. Direction cosines of a line , whose direction ratios are -2,1,2 are

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  10. If P is (-1,1,2) , then direction cosines of line OP are

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  11. Direction cosines of the line passing through A(2,3,-1)and B(-3,-4,2) ...

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  12. Find the value of p for which the line through the points A(4, 1, 2) a...

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  13. Given P = (3,-6,10)and PQ = sqrt(17) . If direction cosines of line PQ...

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  14. If l,m,n are direction cosines of a line , then vector li +mj+nk is a

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  15. If |bar(u)| = sqrt(3) and bar(u) is equally inclined to co - ordinate...

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  16. If |bar(u)|=2 and bar(u) makes angles of 60^(@) and 120^(@) with OX a...

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  17. If a line makes angles theta(1), theta(2), theta(3) with the coordinat...

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  18. Find the angle between the lines whose direction ratios are: 2,-3,4 ...

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  19. If bar(a),bar(b),bar (c ) are pair wise mutually perpendicular vectors...

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  20. If direction ratios of two lines are 2,-6,-3 and 4,3,-1 then directi...

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  21. A line makes 45^(@) with OX and equal angles with OY and OZ .Then the ...

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