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Find the equation of the plane passing t...

Find the equation of the plane passing through the intersection of the planes `2x-3y+z-4=0a n dx-y+z+1=0` and perpendicular to the plane `x+2y-3z+6=0.`

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The correct Answer is:
`9x-8y+7z-21=0`
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Find the equation of the plane passing through the intersection of the planes 2x+3y-z+1=0 and x+y-2z+3=0 and perpendicular to the plane 3x-y-2z-4=0.

Let P=0 be the equation of a plane passing through the line of intersection of the planes 2x-y=0a n d3z-y=0 and perpendicular to the plane 4x+5y-3z=8. Then the points which lie on the plane P=0 is/are a. (0,9,17) b. (1//7,2,1//9) c. (1,3,-4) d. (1//2,1,1//3)

Let P=0 be the equation of a plane passing through the line of intersection of the planes 2x-y=0a n d3z-y=0 and perpendicular to the plane 4x+5y-3z=8. Then the points which lie on the plane P=0 is/are a. (0,9,17) b. (1//7,21//9) c. (1,3,-4) d. (1//2,1,1//3)

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

Find the equation of the plane through the intersection of the planes 3x-y+2z-4=0 and x+y+z-2=0 and the point (2, 2, 1).

Find the equation of the plane through the intersection of the planes 3x-y+2z-4=0 and x+y+z-2=0 and the point (2,2,1).

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

Find the equation of a plane passing through the intersection of the planes x-3y+2z-5 - 0 and 2x-y+3z-1 = 0 and passes through the point (1,-2,3) .

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.

Find the equation of the plane which contains the line of intersection of the planes x+2y+3z-4=0a n d2x+y-z+5=0 and which is perpendicular to the plane 5x+3y-6z+8=0.

NAGEEN PRAKASHAN ENGLISH-THREE-DIMENSIONAL GEOMETRY -Exercise 11 E
  1. The equation of the line passing through (1, 2, 3) and parallel to the...

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  2. Find the perpendicular distance from the point (2hati-hatj+4hatk) to t...

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  3. Find the perpendicular distance from the point (2hati+hatj-hatk) to th...

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  4. Find the distance of the point (21,0) from the plane 2x+y+2z+5=0.

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  5. Find the distance of each of the following points from the correspondi...

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  6. If the points (1,1,lamda) and (-3, 0,1) are equidistant from the plan...

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  7. Find the distance between the parallel planes 2x-y+3-4=0\ a n d\ 6x-3y...

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  8. Find the distance between the parallel planes, vec r = dot(2 hat i-3 ...

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  9. Find the equations of the planes parallel to the plane x-2y+2z-3=0 whi...

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  10. Find the length of the foot of the perpendicular from the point (1,1,2...

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  11. Find the coordinates of the foot of the perpendicular from the point ...

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  12. Find the image of the point (1,3,4) in the plane 2x-y+z+3=0.

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  13. Find the image of the point O(0,0,0) in the plane 3x+4y-6z+1=0

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  14. A variable plane which remains at q constant distance 3p from the orig...

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

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  16. Find the distance of the point (0.-3. -2) from the plane x + 2y - z = ...

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

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  18. Find the equation of the plane through the intersection of the planes ...

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  19. Find the equation of a line passing through the point (2hati-3hatj-5h...

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  20. Find the vector equation of a plane which is at a distance of 5 units ...

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