Find the intercepts cut off by the plane 2x - y + z = 5 on the axes ?

CONCEPT:

Let the plane make intercepts a, b, c on x, y and z axes, respectively.

The equation of the plane in the intercept form is given by: 

CALCULATION:

Given: Equation of plane is 2x - y + z = 5

The given equation can be re-written in the intercept form as: 

So, by comparing the equation  with  we get,

⇒ a = 5/2, b = - 5 and c = 5

So, the intercepts made by the given plane on the axes are 5/2, - 5 and 5

Hence, option A is the correct answer.