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How many straight lines in space through...

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

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SHARAM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. What is the equation of x-axis in symmetric form.

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  2. What is the direction cosines of the line passing through (0, 0, 0) an...

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

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  4. Write the equation of the plane perpendicular to y-axis at the point (...

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  5. Fill in the blanks in the length of the projection of the line segment...

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  6. If alpha,beta,gamma be direction angles of a line, what is the value o...

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  7. If the distance between the points (-1, -1, k) and (1,-1,1) is 2 then ...

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  8. Write theequationofthelinepassing through the point (4, —6,1) and para...

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  9. What is the image of the point (—2, 3, —5) respect to the zx-plane ?

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  10. What is the distance of the point (x, y, z) from x-axis?

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  11. What is the distance of the point (1, 2, -3) from xy-plane ?

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  12. What is the angle between the lines x/1 = y/-2 = z/1 and x/4 = y/1 = z...

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  13. What is the number of independent constants that occur in the general ...

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  14. A plane has x-intercept and y-intercept 2 and 3 respectively and pass...

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  15. What is the distance of the point (x, y, z) from x-axis?

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

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  17. Write the equation of the plane passing through the point(1,-2,3)and ...

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  18. To which coordinate axis is, the plane 2x + 3y = 0 parallel and why ?

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  19. What is the image of the point (6, 3, -4) with respect to yz- plane ...

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

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