plane passing through the intersection of two given planes
r.n1=d1 and r .n2=d2
Now,since t represent all points common in both planes
t.n1=d1 and t.n2=d2
so,t.(n1+λn2) =d1+λd2.
Why here λ is introduced it could directly be written as t.(n1+n2)=d1+d2

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Solution

We cannot directly combine t.n1 = d1 and t.n2 =d2 as both the equation are not equal,but they both are following a same criteria.So for combining the two,we introduce a constant.

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