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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 PUBLICATION-THREE-DIMENSIONAL GEOMETRY-Part III Questions For Practice ( Lines in Space) Very Short Answer Type Questions
  1. If the cartesian equation of a line is (3-x)/5=(y+4)/7=(2z-6)/4 then w...

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  2. Find the equation of a line in cartesian form, which is parallel to 2h...

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  3. Find the vector equation of line passing through the points (1 – 1, 2)...

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  4. Find the cartesian equation of line that passing through the points (1...

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  5. Find the number of points (x, y, z) in space other than the point (1,-...

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

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

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

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  10. Write the vector equation of the line passing through the point (1, 2,...

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  11. Find the value of lambda, şuch that the line (x-2)/(6) = (y-1)/(lambda...

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  12. Find the equation of the plane, that passes through the point (-1,3,0)...

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

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

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  15. Show that the line (x-1)/(1) = (y+2)/(3) = (z-1)/(-1) lies on the plan...

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

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

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

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

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  20. Find the co-ordinates of the foot of the perpendicular from the point ...

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