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The lines which intersect the skew lin...

The lines which intersect the skew lines `y=m x ,z=c ; y=-m x ,z=-c` and the x-axis lie on the surface: (a.) `c z=m x y` (b.) `x y=c m z` (c.) `c y=m x z` (d.) none of these

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CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. If the lines (x-1)/2=(y+1)/3=(z-1)/4a n d(x-3)/1=(y-k)/2=z/1 intersect...

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  2. Find the shortest distance between the z-axis and the line, x+y+2z-3=0...

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  3. The lines which intersect the skew lines y=m x ,z=c ; y=-m x ,z=-c a...

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  4. Distance of the point P( vec p) from the line vec r= vec a+lambda ve...

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  5. The direction ratios of a normal to the plane through (1,0,0)a n d(...

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  6. The centre of the circle given by vec r.( hat i+2 hat j+2 hat k)=15...

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  7. Two systems of rectangular axes have the same origin. If a plane cu...

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  8. The plane, which passes throught the point (3,2,0) and line (x - 3)/1 ...

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  9. The lines (x-2)/1=(y-3)/1=(z-4)/-k and (x-1)/k=(y-4)/2=(z-5)/1 are co...

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  10. The point of intersection of the lines (x-5)/3=(y-7)/(-1)=(z+2)/1 and ...

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  11. A tetrahedron has vertices of O(0, 0, 0), A(1, 2, 1), B(2, 1, 3) and C...

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  12. The radius of the circle in which the sphere x^(2)+y^(2)+z^(2)+2x-2y-4...

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  13. A sphere of constant radius 2k passes through the origin and meets t...

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  14. A plane passes through a fixed point (a,b,c). The locus of the foot of...

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  15. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

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  16. The equation of the plane through the intersection of the planes x+2y...

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  17. The plane 4x+7y+4z+81=0 is rotated through a right angle about its ...

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  18. The vector equation of the plane passing through the origin and the ...

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  19. The lines vec r= vec a+lambda( vec bxx vec c)a n d vec r= vec b+mu( v...

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  20. The projection of the line (x+1)/(-1)=(y)/(2)=(z-1)/(3) on the plane x...

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