AP EAMCET · Maths · Straight Lines
If the portion of a line intercepted between the coordinates axes is divided by the point \((2,-1)\) in the ratio of \(3: 2\), then the equation of that line is
- A \(5 x-2 y-20=0\)
- B \(2 x-y-5=0\)
- C \(3 x-y-7=0\)
- D \(x-3 y-5=0\)
Answer & Solution
Correct Answer
(D) \(x-3 y-5=0\)
Step-by-step Solution
Detailed explanation
Let the equation of the line be \[ \frac{x}{a}+\frac{y}{b}=1 \] The line meets the coordinate axes at \(A(a, 0)\) and \(B(0, b)\) respectively. The coordinate of the point which divides the line joining \(A(a, 0)\) and \(B(0, b)\) in the ratio \(3: 2\) are…
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