Write the intercept cut off by the plane 2x + y - z = 5 on the x-axis.

Given :


Equation of plane : 2x + y – z = 5


To Find : Intercept made by the plane with the X-axis.


Formula :


If


is the equation of plane in intercept form then intercept made by it with co-ordinate axes are


X-intercept = a


Y-intercept = b


Z-intercept = c


Answer :


Given equation of plane:


2x + y – z = 5


Dividing above equation throughout by 5




Comparing above equation with



We get,


a = 5/2


Therefore, intercepts made by plane with X-axis are


X-intercept = 5/2


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