WBJEE · Maths · Straight Lines
Let \(P(2,-3), Q(-2,1)\) be the vertices of the \(\Delta P Q R .\) If the centroid of \(\Delta P Q R\) lies on the line \(2 x+3 y=1,\) then the locus of \(R\) is
- A \(2 x+3 y=9\)
- B \(2 x-3 y=7\)
- C \(3 x+2 y=5\)
- D \(3 x-2 y=5\)
Answer & Solution
Correct Answer
(A) \(2 x+3 y=9\)
Step-by-step Solution
Detailed explanation
Let the vertices of \(R\) be \((h, k)\) \(\therefore\) Centroid of triangle is given by \[ \left(\frac{x_{1}+x_{2}+x_{3}}{3}, \frac{y_{1}+y_{2}+y_{3}}{3}\right) \] Le, \(\left(\frac{2+h-2}{3}, \frac{-3+1+k}{3}\right)\) Le, \(\left(\frac{h}{3}, \frac{-2+k}{3}\right)\) since, the…
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