MathematicsThe lines which intersect the skew lines y=mx,z=c;y=−mx,z=−c and the x-axis lie on the surface

The lines which intersect the skew lines y=mx,z=c;y=mx,z=c and the x-axis lie on the surface

  1. A

    cz = mxy

  2. B

    xy = cmz

  3. C

    cy = mxz

  4. D

    yz = cmx

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    Solution:

    Equations of the planes through y = mx, z = c and

    y = mx, z =  c are respectively,

    (ymx)+λ1(zc)=0......i and

    (y+mx)+λ2(z+c)=0.....ii

    It meets at x–axis, i.e., y=0=z;λ2λ1

     From (i) and (ii), ymxzc=y+mxz+c;cy=mzx

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