Q23 of 76 Page 497

The planes: 2x – y + 4z = 5 and 5x – 2.5y + 10z = 6 are

Given -

First Plane is


2x – y + 4z = 5


Multiply both sides by 2.5, we get -


5x - 2.5y + 10z = 12.5 …(1)


Second Plane is


5x – 2.5y + 10z = 6 …(2)


Clearly, the direction ratios of normals of both the plane (1) and (2) are same.


Hence, Both the given planes are parallel.

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