JEE Mains · Maths · STD 11 - 9. straight line
Let \(\mathrm{C}\) be the centroid of the triangle with vertices \((3,-1),(1,3)\) and \((2,4) .\) Let \(P\) be the point of intersection of the lines \(x+3 y-1=0\) and \(3 \mathrm{x}-\mathrm{y}+1=0 .\) Then the line passing through the points \(\mathrm{C}\) and \(\mathrm{P}\) also passes through the point
- A \((7, 6)\)
- B \((-9, -6)\)
- C \((-9, -7)\)
- D \((9, 7)\)
Answer & Solution
Correct Answer
(B) \((-9, -6)\)
Step-by-step Solution
Detailed explanation
Centroid of \(\Delta=(2,2)\) line passing through intersection of \(x+3 y-1=0\) and \(3 x-y+1=0,\) be given by \((x+3 y-1)+\lambda(3 x-y+1)=0\) \(\because\) It passes through \((2,2)\) \(\Rightarrow \quad 7+5 \lambda=0 \Rightarrow \lambda=-\frac{7}{5}\) \(\therefore \quad\)…
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