AP EAMCET · Maths · Straight Lines
If PS is the median of the triangle with vertices \(\mathrm{P}(2,2)\), \(\mathrm{Q}(6,-1)\) and \(\mathrm{R}(7,3)\), then the equation of the line passing through \((1,-1)\) and parallel to PS is
- A \(4 x+7 y+3=0\)
- B \(2 x-9 y-11=0\)
- C \(4 x-7 y-11=0\)
- D \(2 x+9 y+7=0\)
Answer & Solution
Correct Answer
(D) \(2 x+9 y+7=0\)
Step-by-step Solution
Detailed explanation
Since \(S\) is the mid point of \(Q\) \& \(R\) so \(\mathrm{S}=\left(\frac{7+6}{2}, \frac{3-1}{2}\right)=\left(\frac{13}{2}, 1\right)\) Now, slope of PS \(=m=\frac{2-1}{2-\frac{13}{2}}=\frac{-2}{9}\) Since equation of line passing through \((1,-1)\) and having slope…
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