Book: Mathematics Part-II
Chapter: 11. Three Dimensional Geometry
Subject: Maths - Class 12th
Q. No. 10 of Exercise 11.3
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10
Find the vector equation of the plane passing through the intersection of the planes 
and through the point (2, 1, 3).
Let the vector eq. of the plane passing through the intersection of the planes
Here, 
∵ Plane passes through points (2,1,3)
4 + 4λ + 2 + 5λ - 9 + 9λ - 7 - 9λ = 0
9 λ = 10
This is the required vector eq. of the plane.
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