Family of Planes Passing through the Intersection of Two Planes
Compute,using...
Question
Compute,using integration,the area bounded by the lines x + 2y = 2, y - x = 1 and 2x + y = 7.
Open in App
Solution
Let the lines be,AB : x + 2 y = 2, CA : y - x = 1 and BC : 2 x + y = 7 ∴ Points of intersection are A(0,1), B(4,-1) and C(2,3). Required Area=12∫3−1(7−y)dy−∫1−1(2−2y)dy−∫31(y−1)dy