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Show that the lines (x-5)/(4)=(y-7)/(4)=...

Show that the lines `(x-5)/(4)=(y-7)/(4)= (z+3)/(-5) and (x-8)/(7)=(y-4)/(1) = (z-5)/(3)`. are coplanar

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Find the equation of the line passing through the intersection of (x...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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