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Find p if the plane x+y-2z+6=0 is parall...

Find p if the plane x+y-2z+6=0 is parallel to the plane px+3y-6z-1=0.

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Statement 1: The lines (x-1)/1=y/(-1)=(z+1)/1 and (x-2)/2=(y+1)/2=z/3 are coplanar and the equation of the plnae containing them is 5x+2y-3z-8=0 Statement 2: The line (x-2)/1=(y+1)/2=z/3 is perpendicular to the plane 3x+5y+9z-8=0 and parallel to the plane x+y-z=0

Find the equation of the planes parallel to the plane x-2y+2z-3=0 and which is at a unit distance from the point A(1,1,1) .

Find the equations of the planes parallel to the plane x-2y+2z-3=0 which is at a unit distance from the point (1,2,3) .

Find the equation of the plane mid parallel to the planes 3x-4y+12z-26=0 and 3x-4y+12z+13=0.

Find the distance of the point (1, 0, -3) from the plane x-y-z=9 measured parallel to the line (x-2)/(2)=(y+2)/(3)=(z-6)/(-6) .

Find the equation of the point mid-parallel to the planes 2x-2y+z+3=0 and 2x-2y+z+9=0.

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

Find the equation of the plane passing through origin and parallel to the plane x+3y-2z+7=0 .

Find the equation of plane passing through the point (1,4,-2) and parallel to the plane 2x-y+3z=0

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Vector equation of a plane is vecr.(2hati+4hatj-3hatk)=5. Write down t...

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  2. What is the distance of the point (-1,2,1) from the plane 2x-3y+4z+5=0...

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  3. Find p if the plane x+y-2z+6=0 is parallel to the plane px+3y-6z-1=0.

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  4. Write the equation to the locus of a point which is always at a fixed ...

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  5. Find the vector equations to the locus of a point whose distance from ...

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  6. If the line drawn from the point (-2,-1,-3) meets a plane at right ang...

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  7. Write the distance of the plane 2x-y+2z+1=0 from the origin.

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  8. Write the direction of cosines of the line joining the poidnts (1,0,0)...

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  9. Write the vector equations of the plane throught the point (a,b,c) and...

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  10. If the cartesian equations of a line are : (3-x)/5=(y+4)/7=(2z-6)/4, w...

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  11. Distance of the point (2,5,-3) from the plane vec r.(6hat i-3 hat j+2 ...

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  12. Write down the direction cosines of the line whose equations are 5x-3=...

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  13. Write the sum of intercepts cut off by the plane vecr*(2hati+hatj-hatk...

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  14. If a line angles 90^@, 135^@, 45^@ with the positive x,y and z axis re...

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  15. Find the direction cosines of a line which makes equal angles with the...

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  16. If a line has the direction ratios –18, 12, – 4, then what are its dir...

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  17. Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear...

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  18. Find the direction cosines of the sides of the triangle whose vertices...

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  19. show that the three lines with direction cosines <12/13,-3/13,-4/13>, ...

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  20. Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perp...

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