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Find the equation of the plane containin...

Find the equation of the plane containing the line `(x+3)/(2)=(y-2)/(-1)=(z-4)/(4)` and perpendicular to the plane `x+2y+z-6=0`.

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The correct Answer is:
`9x-2y-5z+51=0`
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Find the equation of the plane containing the line (x-3)/7=(y-4)/0=(z-2)/1 and the point (2,2,-1).

Find the equation of the plane through the point (1,1,1) , parallel to the line (x-1)/(2)=(y-2)/(-3)=(z-3)/(3) and perpendicular to the plane x-2y+z-6=0 .

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BETTER CHOICE PUBLICATION-THREE DIMENSIONAL GEOMETRY -PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE
  1. Find the shortest distance between the following lines vec(r)=-hat(i...

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  2. Find the shortest distance between the following lines vec(r)=hat(i)...

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  3. Find the equation of the plane containing the line (x+3)/(2)=(y-2)/(-1...

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  4. Find the equation of the plane through the point (1,1,1) and perpendic...

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  5. Determine whether the lines vec(r)=3hat(i)-hat(j)+lamda(3hat(i)+hat(...

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  6. Find the equation of the plane passing through the points (0,-1,1),(4,...

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  7. Find the equation of the plane passing through the point (1,1,0),(1,2,...

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  8. Find the angle between the following pairs of lines x/2=y/2=z/1 and (x...

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  9. vec(r)=(1-t)hat(i)+(t-2)hat(j)-(3-2t)hat(k) and vec(r)=(1-t)hat(i)(t-...

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  10. Find the angle between these two lines (x+2)/(1)=(y-1)/(-2)=(z-1)/(1) ...

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  11. Find the vector equation of the plane which is at a distance of 7 unit...

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  12. Find the equation of the plane through intersection of the planes : ...

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  13. Find the equation of the plane passing through the points (1,2,-1),(...

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  14. Find the equation of the plane passing through the points (1,1,0),(1...

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  15. Find the direction cosine of a line parallel to the line (2x-5)/(4)=(y...

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  16. Find the equation of the straight line passing through the point (2,-1...

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  17. Find the equation of a plane through the points (1,0,1),(1,2,-2),(2,...

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  18. Find the equation of a plane passing through the points (1,1,2) and (1...

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  19. Find the equation of the plane through the point (-1, -1, 2) and (3, 4...

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  20. Find the equation of the plane passing through the point(-1, 3, 2) and...

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