Q13 of 230 Page 29

Find the equation of the plane passing through (a, b, c) and parallel to the plane

The required plane is parallel to the plane


Any plane parallel to is given as


Further, it is given that the plane is passing through (a,b,c). So, point (a,b,c) should satisfy the equation of the plane,


∴ we have




Hence, the equation of the required plane is



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