Find an equation for the plane satisfying the given conditions:
a) passes through the z−axis and the point (1, 2, 5).
b) passes through (1, 2, 2) and is perpendicular to the line x = 2 − t,y = 3 + 5t,z = 2 – 4t.
c) passes through the line x = 1 + t, y = 2 + 3t, z = 1 + 5t and is perpendicular to the plane 2x + y − z = 0.
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