TS EAMCET · Maths · Straight Lines
The equation of the straight line whose slope is \(\frac{-2}{3}\) and which divides the line segment joining \((1,2),(-3,5)\) in the ratio \(4: 3\) externally is
- A \(2 x+3 y-12=0\)
- B \(3 x+2 y+27=0\)
- C \(2 x+3 y-9=0\)
- D \(2 x+3 y+12=0\)
Answer & Solution
Correct Answer
(A) \(2 x+3 y-12=0\)
Step-by-step Solution
Detailed explanation
Let \(P\left(x_1, y_2\right)\) be the point of which divide line segment in \(4: 3\) extermally \(\left(x_1, y_1\right)=\left(\frac{-12-3}{1}, \frac{20-6}{1}\right)=(-15,14)\) Equation of line having slope \(\frac{-2}{3}\) and posses through…
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