The equation of the plane through the intersection of the planes ax + by + cz + d = 0 andlx + my + nz + p = 0 and parallel to the line y=0, z=0

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The equation of the plane passing through the intersection of the planes ax + by + cz + d = 0 and lx + my + nz + p = 0 will be (​ax + by + cz + d) + λ(​lx + my + nz + p) = 0 x(a + ​λl) + y(b + ​λm) + z(c + ​λn) + (d + ​λp)=0 .......(1) Since the plane is parallel to the line y=0 and z=0 a + ​λl=0 λ - a/l putting the value of ​λ in equation (1), we get x(a + (- a/l)l) + y(b + (- a/l)m) + z(c + (- a/l) n) + d + (- a/l)p = 0 y(bl - am) + z(cl - an) + dl - ap = 0 Hence, option (a)

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