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If the direction angles of a line are al...

If the direction angles of a line are `alpha=30^@` and `beta=60^@`, find the other direction angle `gamma`

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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. A line is perpendicular to xy-plane Write the angle made by the line w...

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  2. If the distance between the points (1,2,z) and (-1,2,1) is 3, then fin...

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  3. If the direction angles of a line are alpha=30^@ and beta=60^@, find t...

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  4. Write the direction cosine of the line whose direction ratios are {1,2...

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  5. Write the direction cosines of the line joining (1,2,3) and (1,1,2).

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  6. Write the distance of the point (1,1,2) from x-axis.

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  7. Write the distance of the point (2,3,6) from zx-plane.

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  8. Write the locusof a point p which moves in space such that its distanc...

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  9. Write the centroid of the triangle with vertices (1,2,3), (2,1,2), (3,...

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  10. Write the ratio in which the line joining the points (2,3,4) and (-3,5...

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  11. Write the value of y so that the points (1,y,2),(3,2,-1) and (-4,6,3) ...

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  12. Write the projection of the line segment joining the points (2,1,3) an...

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  13. Write the projection of the line segment joining (2,4,3) and (3,2,4) o...

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  14. If d.c.s. of a line be (1/2,3/4,k/4) what is the value of k ?

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

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  16. Write the direction cosines of the normal to the plane x-y+1=0.

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

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  18. Write the value of x-intercept of the plane x+y+2z=1.

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  19. The equation ax+by+c=0 represents a plane parallel toaxis.

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  20. Write the equation of the plane parallel to x-axis having intercepts 5...

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