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Find the equation of the sphere passing through `(0,0,0),(1,0,0),(0,1,0) and (0,0,1)dot`

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Find the equation of the sphere which passes through (1,0,0),(0,1,0)...

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

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

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

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

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

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  8. A variable plane passes through a fixed point (a ,b ,c) and cuts the...

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  9. Show that the plane 2x-2y+z+12=0 touches the sphere x^2+y^2+z^2-2x-4y+...

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  10. If O is the origin, OP = 3, with direction ratios -1, 2 and -2, then f...

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  11. If P(x,y,z) is a point on the line segment joining Q(2,2,4) and R(3,5,...

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  12. If vecr is a vector of magnitude 21 and has direction ratios 2, -3 an...

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  13. Find the distance of the point P(a ,b ,c) from the x-axis.

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  14. A line makes angles alpha,betaa n dgamma with the coordinate axes. If ...

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  15. If a line makes angles alpha,betaa n dgamma with three-dimensional c...

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  16. Find the distance between the parallel planes x+2y-2z+1=0a n d2x+4y...

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  17. A ray of light passing through the point A(1,2,3) , strikews the pl...

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  18. The plane a x+b y=0 is rotated through an angle alpha about its line...

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  19. Find the equation of a plane containing the line of intersection of...

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  20. Find the locus of a point, the sum of squares of whose distance from t...

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