COMEDK · Maths · 10. Straight Lines
The line AB passes through the point \(P(-4,3)\) and the portion of the line intercepted between the axes is divided internally in the ratio \(5: 3\) by the point \(P\). Given that the point A lies on \(x\)-axis and B lies on \(y\)-axis, then the \(x\) intercept of the line is
- A \(-\dfrac{32}{3}\)
- B \(-\dfrac{24}{5}\)
- C \(\dfrac{32}{3}\)
- D \(\dfrac{24}{5}\)
Answer & Solution
Correct Answer
(A) \(-\dfrac{32}{3}\)
Step-by-step Solution
Detailed explanation
Let the coordinates of point A on the x-axis be \((a, 0)\) and the coordinates of point B on the y-axis be \((0, b)\). The point \(P(-4, 3)\) divides the segment AB internally in the ratio \(5: 3\). Using the section formula, the coordinates of \(P\) are given by:…
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