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Question

The joint equation of the straight lines x+y=1 and x-y=4, is


A

x2-y2=-4

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B

x2-y2=4

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C

x+y-1x-y-4

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D

x+y+1x-y+4

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Solution

The correct option is C

x+y-1x-y-4


Explanation for correct option

Given: Equations of straight lines are x+y=1 and x-y=4.

Joint equations of straight lines are obtained by multiplying two equations:

so, a joint equation of straight lines x+y=1and x-y=4=(x+y-1)(x-y-4)

Hence Option C is correct i.e. x+y-1x-y-4


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