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Question

Mark the correct alternative in the following question:

​What should be added to xy + yz + zx to get -xy - yz - zx?

(a) -2xy - 2yz - 2zx                       (b) -3xy - yz - zx                       (c) -3xy - 3yz - 3zx ​                      (d) 2xy + 2yz + 2zx


Solution

Since, (-xy - yz - zx- (xy + yz + zx) = -xy - yz - zx - xy - yz - zx-2xy - 2yz - 2zx

So, -2xy - 2yz - 2zx should be added to xy + yz + zx to get -xy - yz - zx.

Hence, the correct alternative is option (a).

Mathematics
RD Sharma (2020, 2021)
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