MHT CET · Maths · Straight Lines
If the line \(2 x+y=k\) passes though the point which divides the line segment joining the points \((1,1)\) and \((2,4)\) internally in the ratio \(3: 2\) then, \((k+1):(k-1)=\)
- A \(\frac{5}{7}\)
- B \(\frac{7}{5}\)
- C \(\frac{8}{5}\)
- D \(\frac{6}{5}\)
Answer & Solution
Correct Answer
(B) \(\frac{7}{5}\)
Step-by-step Solution
Detailed explanation
Point \( \left( \frac{3(2)+2(1)}{3+2}, \frac{3(4)+2(1)}{3+2} \right) = \left( \frac{8}{5}, \frac{14}{5} \right) \). \( 2\left(\frac{8}{5}\right) + \frac{14}{5} = k \implies \frac{16+14}{5} = k \implies k=6 \).
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