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Write the value of k such that the line ...

Write the value of k such that the line `(x-4)/1=(y-2)/1=(z-k)/2` lies on the plane `2x-4y+z=7`

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Proved that the line (x-1)/2=(y+2)/(-3)=(z-3)/1 lies on the plane 7x+5y+z=0

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For what value of k, the line (x - 3)/(2) = (y + k)/((-1)) = (z + 1)/((-5)) lies on the plane 2x - y + z - 7 = 0?

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Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2x+y+z=2 .

If the line (x-3)/2=(y+k)/(-1)=(z+1)/(-5) lies on the plane 2x-y+z-7 = 0, then k = - (2,-1,-2)

Find the value of k for which the line (x - 2)/3 = (1 - y)/k = (z - 1)/4 is parallel to the plane 2x + 6y + 3z - 4 = 0.

State which of the following statements are true (T) or false(F) The line (x+5)/(-2)=(y-3)/1=(z-2)/3 lies on the plane x-y+z+1=0.

Find the value of k, for which the line (x-2)/(3) = (1-y)/(k) = (z-1)/(4) is parallel to the plane 2x + 6y + 3z - 40 .