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Question

Find the value of k in the equations: x+ky=1 and xy=2 have infinitely many solutions.

A
1
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B
-1
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C
2
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D
11
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Solution

The correct option is B -1
The general form of linear equation written as,
a1x+b1y+c1=0
a2x+b2y+c2=0
Add comparing the coefficients of the variables, we find the value of k
x+ky=1 ---- (1)
xy=2 ---- (2)
a1=1;b1=k;c1=1
a2=1;b2=1;c1=2
a1a2=b1b2=c1c2
11=k1
k=1

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