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The lines (x-2)/1=(y-3)/1=(z-4)/(-k)a n ...

The lines `(x-2)/1=(y-3)/1=(z-4)/(-k)a n d(x-1)/k=(y-4)/2=(z-5)/1` are coplanar if a. `k=1or-1` b. `k=0or-3` c. `k=3or-3` d. `k=0or-1`

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CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Two systems of rectangular axes have the same origin. If a plane cu...

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  2. Find the equation of a plane which passes through the point (3, 2, 0...

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  3. The lines (x-2)/1=(y-3)/1=(z-4)/(-k)a n d(x-1)/k=(y-4)/2=(z-5)/1 are ...

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

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

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

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

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

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

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

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

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

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

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

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  15. The direction cosines of a line satisfy the relations lamda(l+m)=nandm...

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  16. The intercepts made on the axes by the plane which bisects the line jo...

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  17. The pair of lines whose direction cosines are given by the equation...

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  18. If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha,...

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  19. A line with positive direction cosines passes through the point P(2, –...

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  20. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

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