Question:medium
A line cuts the positive axes \(OX\), \(OY\) in the points \(A\), \(B\) respectively. If the point \(P(3,5)\) divides the line \(AB\) in the ratio \(2:1\) internally, then the equation of the line is
A line cuts the positive axes \(OX\), \(OY\) in the points \(A\), \(B\) respectively. If the point \(P(3,5)\) divides the line \(AB\) in the ratio \(2:1\) internally, then the equation of the line is
Show Hint
If a line cuts the axes at \((a,0)\) and \((0,b)\), its equation is
\[
\frac{x}{a}+\frac{y}{b}=1.
\]
Use the section formula to determine the intercepts first.
Updated On: Jul 15, 2026
- \(5x+6y=45\)
- \(3x+5y=34\)
- \(5x-3y=0\)
- \(5x-6y+15=0\)
Show Solution
The Correct Option is A
Solution and Explanation
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