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Find the equation of the plane passing through the line of intersection of the planes 2x + y - Z = 3,5x - 3y + 4z + 9 = 0 and parallel to the line `(x-1)/2=(y-3)/4=(z-5)/5`

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The correct Answer is:
7x + 9y - 10 z - 27 = 0
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Find the equation of the plane passing through the line of intersection of the planes : 2x + y - z = 3 and 5x - 3y + 4z = 9 and parallel to the line (x -1)/(2) = (y - 3)/(4) = (z -5)/(5) .

The equation of plane passing through the line of intersection of planes 2x-y+z=3,4x-3y-5z+9=0 and parallel to the line (x+1)/(2)=(y+3)/(4)=(z-3)/(5) is

Find the equation of the plane passing through the line of intersection of the planes 2x-y=0 and 3z-y=0 , and perpendicular to the plane 4x+5y-3z=9 .

The equation of the plane passing through the line of intersection of the planes x+y+z=6 and 2x+3y+4z+5=0 and perpendicular to the plane 4x+5y-3z=8 is

Find the equation of the plane passing through the line intersection of the plane: 2x-y=0 and 3z-y=0 and perpendicular to the plane 4x+5y-3z=8

Find the equation of the plane passing through the line of intersection of the planes 4x-5y-4z=1 and 2x=y+2z=8 and the point (2,1,3).

The equation of the plane passing through the line of intersection of the planes x + y + 2z = 1,2x + 3y + 4z = 7, and perpendicular to the plane x - 5y + 3z = 5 is given by:

The equation of the plane passing through the line of intersection of the planes x+y+z=1,2x+3y+4z=7 , and perpendicular to the plane x-5y+3z=5 is given by

MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -REVISION EXERCISE
  1. If the direction cosines of a variable line in two adjacent points be ...

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  2. Prove that the straight lines whose direction cosines are given by the...

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  3. Prove that the line joining the mid-points of the two sides of a tr...

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  4. Find the vector equation of the line passing through (1, 2, 3) and ...

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  5. Prove that the lines x=ay +b,z =cy +d and x=a'y +b' z =c'y +a' ...

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  6. Prove that the line joining the points vec(6a) - vec(4b) + vec(4c) and...

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  7. Find the vector equation o the line passing through (1,2,3) and parall...

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  8. Find the vector equation of the line passing through the point (1,"...

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

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  10. Show that equation of the plane passing through a point having positio...

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  11. Find the distance of the point (2,3,4) from the plane 3x+2y+2z+5=0 mea...

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  12. Find the distance of the point with position vector - hati - 5 hatj - ...

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  13. Find the point R, Where the line joining P (1,3,4) and Q (-3,5,2) cuts...

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

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  15. If from a point P(a ,b ,c) perpendiculars P Aa n dP B are drawn to Y Z...

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  16. If O be the origin and the coordinates of P be(1," "2," "" "3) , th...

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  17. Find the equation of the plane , which contains the line of intersecti...

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  18. Prove that the shortest distance between the diagonals of a rectangula...

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  19. A variable plane is at a constant distance p from the origin and meets...

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