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How many straight lines in space through the origin are equally inclined to the coordinate axes?

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ARIHANT PRAKASHAN-THREE DIMENSIONAL GEOMETRY -TOPIC -3- PRACTICE QUESTIONS
  1. Write the value of k such that the line (x-4)/1=(y-2)/1=(z-k)/2 lies o...

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  2. Write the equations of the line 2x+z-4=0=2y+z in the symmetrical form.

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  3. How many straight lines in space through the origin are equally inclin...

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  4. Under which conditions the straight line (x-a)/l = (y-b)/m = (z-c)/n i...

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  5. Write the equation of the line passing through the point (4, -6, 1) an...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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