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Proved that the line (x-1)/2=(y+2)/(-3)=...

Proved that the line `(x-1)/2=(y+2)/(-3)=(z-3)/1` lies on the plane `7x+5y+z=0`

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Write the value of k such that the line (x-4)/1=(y-2)/1=(z-k)/2 lies on the plane 2x-4y+z=7

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ARIHANT PRAKASHAN-THREE DIMENSIONAL GEOMETRY -TOPIC -3- PRACTICE QUESTIONS
  1. Write the equation of the line passing through the point (4, -6, 1) an...

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  2. What is the point of intersection of the line x = y = z with the plane...

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  3. Proved that the line (x-1)/2=(y+2)/(-3)=(z-3)/1 lies on the plane 7x+5...

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  4. Find the value of k for which the line(x - 2)/3 = (1 - y)/k = (z - 1)/...

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  5. Find the point of intersection of the line 2x - 4= 3y = z with plane x...

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  6. The angle between the plane 3x+3z-5=0 and the line (x-1)/1=(y-2)/-1=(z...

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  7. Find the coordinates of the points of intersection of the line 3x - 3=...

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  8. What is the angle between the lines (x+2)/-4 = (y + 3)/5 = (z - 1)/3 a...

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  9. If l,m,n be DC.s of a line, then the line is perpendicular to the plae...

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  10. Find the equation of a line parallel to Y-axis and passing through the...

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  11. If the line (x-3)/2=(y+k)/(-1)=(z+1)/(-5) lies on the plane 2x-y+z-7 =...

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  12. Obtain the equation of the line through the point (1, 2, 3) and parall...

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  13. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

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  14. Prove that the lines (x+4)/3=(y+6)/5=(z-1)/(-2) and 3x-2y+z+5=0=2x+3y...

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  15. Find the perpendicular distance of the point (-1,3,9) from the line (x...

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  16. Using the method of elemination find the symmetrical form of equation ...

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  17. Find the value of r, if the line  (x-1)/(1) = (y+2)/(3) = (z-1)/(-1) =...

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  18. Find the co-ordinates of the point where the perpendicular from the or...

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  19. Determine the symmetric form of the equation to the line of intersecti...

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  20. Find the equation of the plane passing through the line x = y = z and ...

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