Answer :

We know that, the equation of a plane through the line of intersection of the plane


and


is given by


So, equation of plane passing through the line of intersection of plane and is given by



…… (1)


Given that plane (1) is passing through so



(2)(2 + 2k) + (1)(1 + 5k) + (3)(3 + 3k) – 7 – 9k = 0


4 + 4k + 1 + 5k + 9 + 9k – 7 – 9k = 0


9k = – 7



Put the value of k in equation (1),






Multiplying by (), we get



Equation of required plane is ,


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