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Find the angle between any two diagon...

Find the angle between any two diagonals of a cube.

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The line joining the points (-2,1,-8)a n d(a ,b ,c) is parallel to...

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  2. A parallelepiped is formed by planes drawn through the points P(6,8...

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  3. Find the angle between any two diagonals of a cube.

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  4. Direction ratios of two lines are a ,b ,c and 1/(bc) ,1/(ca) ,1/(ab)...

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  5. Find the equation of the line passing through the intersection of (x...

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  6. The straight line (x-3)/3=(y-2)/1=(z-1)/0 is (a)Parallel to x-axis ...

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  7. Show that the lines (x-5)/(4)=(y-7)/(4)= (z+3)/(-5) and (x-8)/(7)=(y-4...

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  8. Find the equation of the plane passing through the points (1,0,-1)a...

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  9. Find the equation of the sphere described on the joint of points Aa...

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  10. Find the radius of the circular section in which the sphere | vec r|...

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  11. Find the equation of a sphere which passes through (1,0,0)(0,1,0)a ...

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  12. Find the locus of a point which moves such that the sum of the squares...

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  13. Find the equation of the sphere which has centre at the origin and tou...

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  14. Find the equation of the sphere which passes through (1,0,0),(0,1,0)...

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  15. Find the equation of a sphere whose centre is (3,1,2) radius is 5.

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  16. Find the equation of the sphere passing through (0,0,0),(1,0,0),(0,1...

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  17. Find the image of the line (x-1)/(9)=(y-2)/(-1)=(z+3)/(-3) in the plan...

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  18. Find the equations of the bisectors of the angles between the plane...

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  19. If the x-coordinate of a point on the join of P(2,2,1)a n dQ(5,1,-2...

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  20. A sphere of constant radius k passes through the origin and meets the ...

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