# Find the Intercepts Cut off by the Plane 2x + Y – Z = 5. - Mathematics

Find the intercepts cut off by the plane 2x + y – z = 5.

Find the sum of the intercepts cut off by the plane $2x + y - z = 5,$on the coordinate axes.

#### Solution

2x + y – z = 5  ...(1)

Dividing both sides of equation (1) by 5, we obtain

Thus, the intercepts cut off by the plane are 5/2, 5 and -5

∴ Required sum of intercepts = $\frac{5}{2} + 5 + \left( - 5 \right) = \frac{5}{2}$ .

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#### APPEARS IN

NCERT Class 12 Maths
Chapter 11 Three Dimensional Geometry
Q 7 | Page 493