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The plane x/a+y/b+z/c=1 meets the co-ord...

The plane `x/a+y/b+z/c=1` meets the co-ordinate axes in the point A, B, C respectively. Find the
area `triangle ABC.`

Text Solution

AI Generated Solution

To find the area of triangle ABC formed by the intersection of the plane \( \frac{x}{a} + \frac{y}{b} + \frac{z}{c} = 1 \) with the coordinate axes, we can follow these steps: ### Step 1: Find the coordinates of points A, B, and C The plane intersects the coordinate axes at the following points: - Point A (where the plane intersects the x-axis): Set \( y = 0 \) and \( z = 0 \): \[ ...
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