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Find the equation of the plane through the line of intersection of the planes `x+y+z=1 " and " 2x+3y+4z=5` which is perpendicular to the plane `x-y+z=0`.

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The correct Answer is:
` = (2)/(sqrt(2)) = sqrt(2)` units.
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OSWAAL PUBLICATION-THREE DIMENSIONAL GEOMETRY-Topic - 3 (Long answer type questions - II)
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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 of the point (-1,-5,-10) from the point of intersect...

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  4. Find the equation of the plane through the line of intersection of the...

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  5. Find the distance of the point (2,12,5) from the point of intersectio...

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  6. Find the equation of the plane that contains the point A(1,-1,2) and ...

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  7. Show that the lines (x+3)/(-3) = (y-1)/1 = (z-5)/5 and (x+1)/ (-1) = (...

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  8. Find the coordinates of the point where the line through (3,-4,-5) and...

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  9. Find the equation of the plane through the line of intersection of the...

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  10. Find the vector equation of the plane passing through three points ...

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  11. Find the equation of the plane determined by the points (A(3,-1,\ 2...

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  12. Find the vector equation of the line passing through the point (1,2...

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  13. Equation of the plane that contains the lines r=(hat(i)+hat(j))+lambd...

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

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  15. Find the vector and cartesian equations of a plane containing the two ...

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  16. Find the distance of the point (-1,-5,-10) from the point of intersect...

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  17. Find the equation of the plane passing through the line of intersectio...

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  18. Find the vector equation of the plane which contains the line of in...

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  19. Find the coordinates of the foot of the perpendicular and the perpendi...

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

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