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Write the equation to the locus of a poi...

Write the equation to the locus of a point which is always at a fixed distance 'r' from the origin.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Show that the line through the points (4,7,8) and (2,3,4) is parallel ...

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