WBJEE · Maths · Straight Lines
The number of integer values of \(m\), for which the \(x\) -coordinate of the point of intersection of the lines \(3 x+4 y=9\) and \(y=m x+1\) is also an integer, is
- A 0
- B 2
- C 4
- D 1
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
Given lines are, \(3 x+4 y=9\) \[ y=m x+1 \] Solving Eqs. (i) and (ii), we get \[ x=\frac{5}{3+4 m} \] If \(m=-1,\) then \(x=-5\) and \(m=-2,\) then \(x=-1\) are the only possibilities.
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