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(i) Find the equation of the plane passi...

(i) Find the equation of the plane passing through the intersection of the planes :
2x - 7y + 4z = 3 and 3x - 5y + 4z + 11 = 0 and the point (-2, 1,3).
(ii) Find the equation of plane through the intersection of planes :
3x - y + 2z - 4 = 0 and x + y + z - 2 = 0 and the point (2,2,1) .

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The correct Answer is:
(i) 15x - 47y + 28z - 7 = 0 (ii) 7x - 5y + 4z - 8 = 0 .
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MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -EXERCISE 11 (E) (LONG ANSWER TYPE QUESTIONS (I) )
  1. (A) Find the equation of the plane through the intersection of the pla...

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  2. Find the vector equation of the following planes in cartesian form : ...

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  3. Find the equations of the plane that passes through three points (1,1,...

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  4. Find the equations of the faces of the tetrahedron whose vertices are ...

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  5. (i) Find the distance of the point P (6,5,9) from the plane determined...

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  6. (i) Find the equation of the plane through the points (2,-3,1) and (5,...

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  7. Find the Cartesian equation of the plane passing through the points...

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  8. (a) show that the following four points are coplanar : (i) (4,5,1), ...

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  9. The foot of the perpendicular drawn from the origin to a plane is (2, ...

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  10. (I) Find the foot and length of the perpendicular from the point (3,4,...

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  11. find the coordinates of point where the line through (3,-4,-5) and (2,...

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  12. If x co-ordinate of a point on the line joining points (2,2,1) and (5,...

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  13. (i) Find the equation of the plane passing through the intersection of...

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  14. (i) Find the vector equation of the plane through the intersection of ...

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

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  16. Find the equation of a plane through the intersection of the planes : ...

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

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

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  19. Find the equation of the plane passing through the intersection of ...

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

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