TS EAMCET · Maths · Pair of Lines
The combined equation of the straight lines of the form \(y=k x+1\) (where \(k\) is an integer) such that the point of intersection of each with the line \(3 x+4 y=9\) has an integer as its \(x\)-coordinate is
- A \((y+x+1)(y+2 x-1)=0\)
- B \((y+x-1)(y+2 x+1)=0\)
- C \((y+x+1)(y+2 x+1)=0\)
- D \((y+x-1)(y+2 x-1)=0\)
Answer & Solution
Correct Answer
(D) \((y+x-1)(y+2 x-1)=0\)
Step-by-step Solution
Detailed explanation
Given, \[ y=k x+1 \] and \[ 3 x+4 y=9 \] Put the value of \(y\) by Eq. (i) in Eq (ii), we get…
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