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If A(3,2,-4),B(5,4,-6)a n dC(9,8,-10) ar...

If `A(3,2,-4),B(5,4,-6)a n dC(9,8,-10)` are three collinear points, then find the ratio in which point `C` divides `A Bdot`

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
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  2. If the sum of the squares of the distance of a point from the three...

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  3. If A(3,2,-4),B(5,4,-6)a n dC(9,8,-10) are three collinear points, t...

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  4. Find the ratio in which the y-z plane divides the join of the po...

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  6. Find the angle between the lines whose direction cosines are connec...

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  7. Find the point where line which passes through point (1,2,3) and i...

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  8. Find the equation of the line passing through the points (1,2,3)a n...

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  9. Find the equation of the line passing through the point (-1,2,3) an...

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  10. The line joining the points (-2,1,-8)a n d(a ,b ,c) is parallel to...

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

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

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

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

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

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

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

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

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