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Find the equation of the plane passing t...

Find the equation of the plane passing through the line of intersection of the planes 2x + 3y - 2 + 1 = 0 and x + y - 22 + 3 = 0 and perpendicular to the plane 3x – y – 2z - 4 = 0.

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The correct Answer is:
7x + 13y + 4z - 9 = 0
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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 plane passing through the line of intersection of planes 3x+4y-4=0 and x+7y+3z=0 and also through origin.

Find the equation of the plane containing the line of intersection of the plane x + y + z-6 = 0 and 2x + 3y + 4z + 5 = 0 and passing through the point (1, 1, 1).

Find the equation of the line passing through the point (3, 0, 1) and parallel to the planes x + 2y = 0 and 3y – z = 0.

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4 = 0 and parallel to x-axis is

The equation of the plane passing through the intersection of the planes 2x-5y = z = 3 and x+y+4z = 5 and parallel to the plane x+3y + 6z = 1 is x + 3y + 6z = k is..........

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KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-PRACTICE WORK
  1. Find the angle between the lines (5-x)/(-2)=(y+3)/(1)=(1-z)/(3) and x/...

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  2. Show that the lines (x-5)/(7)=(y+2)/(-5)=z/1 and x/1=y/2=z/3 are perpe...

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  3. Find the co-ordinates of the point where the line (x+1)/(2)=(y+2)/(3)=...

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  4. Find the co-ordinates of the point where the line through A(3, 4, 1) a...

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  5. Find the coordinates of the foot of perpendicular drawn from the point...

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  6. Find the foot of perpendicular from the point (0, 2, 3) on the line (x...

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  7. Find the image of the point (3, 5, 3) with respect to the line x/1=(y-...

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  8. Find the equation of the plane passing through the points (1, 2, 3) an...

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

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  10. Find the equation of the plane passing through the point (3, 4, -1) an...

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

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  12. If the points (1, 1, lambda) and (-3, 0, 1) be equidistant from the pl...

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  13. Find the vector equation of the plane containing the lines vecr=(hati+...

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  14. Find the equation of the plane containing two parallel lines (x-4)/(1)...

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  15. Show that the line vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in the...

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  16. Find the image of the point (1, 3, 4) in the plane vecr.(2hati-hatj+ha...

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  17. Find the foot of perpendicular from the point (0, 2, -2) to the plane ...

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  18. Find the point of intersection of the line (x-1)/(2)=(2-y)/(3)=(z+3)/(...

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  19. Find the equation of perpendicular bisector of the plane of the line s...

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  20. Find the direction cosines of the two lines which are connected by the...

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