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in Mathematics by (31.5k points)

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

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Given equation of plane is 2x + y - z = 5. 

On dividing both sides by 5, we get

2x/5 + y/5 - z/5 = 1

on comparing above equation of plane with the intercept form of equation of plane.

x/a + y/b + z/c = 1

where, a = x-intercept, b = y-intercept and c = z-intercept.

we get, a = 5/2

i.e., intercept cut off on X-axis = 5/2.

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