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If the z -intercept of the plane which i...

If the z -intercept of the plane which is passing through the intersection of the planes x+2y+3z+5=0 and 2x-5y+4z+7=0 and parallel to the line `vec r=2hat i+5hat j+hat k+t(hat i+hat j+2hat k)` is `lambda` then `[|lambda|]` equals (where `t in R`) (where [.] denotes greatest integer function)

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