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Find the equation of the plane passing t...

Find the equation of the plane passing through the point A(1, 2, 1) and perpendicular to the line joining the points P(1, 4, 2) and Q(2, 3, 5). Also, find the distance of this plane from the line `(x+3)/(2)=(y-5)/(-1)=(z-7)/(-1)`

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The correct Answer is:
A, B, C
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ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. Find image of point (1, 3, 4) in the plane 2x-y+z+3=0.

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  2. Find the distance between the point (7,2,4) and the plane determined b...

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  3. Find the distance between the point P(6,5,9) and the plane determined ...

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  4. Find the cartesian and vector equations of the planes passing through ...

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  5. Find the co-ordinates of the points where the line through the points ...

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  6. Find the coordinates of the point where the line through the points A ...

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  7. Find the distance of the point (3,4,5) from the plane x+y+z=2 measured...

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  8. Find the distance of the point (1,-2,3) from the plane x-y+z=5 measure...

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  9. Show that the lines: vecr=(hati+hatj-hatk)+lambda(3hati-hatj) and vecr...

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  10. Find cartesian equations of the plane containing the lines: vecr=2hat...

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  11. Find the equation of the plane containingg the lines: vecr=hati+hatj+l...

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  12. Find the value of k for which the following lines are perpendicular to...

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  13. Find the equation of the plane passing through the points (2,1,0), (3,...

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  14. Find the vector and Cartesian form of the equation of the plane passin...

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  15. The lines x+3y-1=0 and x-4y=0 intersect each other. Find their point o...

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  16. Show that the lines : vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) ...

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  17. Show that the lines (x-a+d)/(alpha-delta) = (y-a)/alpha = (z-a-d)/(alp...

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  18. Let P(3, 2, 6) be a point in space and Q be a point on the line r=(ha...

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  19. Find the equation of the plane passing through the point A(1, 2, 1) an...

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  20. Find the equation of the plane passing through the point (1,1,1) and c...

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