Question
Download Solution PDFFind the intercepts cut off by the plane 2x - y + z = 5 on the axes ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
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
⇒ 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.
Last updated on Jul 1, 2025
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