WBJEE · Maths · Straight Lines
Let \(A(2,-3)\) and \(B(-2,1)\) be two angular points of \(\Delta A B C\). If the centroid of the triangle moves on the line \(2 x+3 y=1\), then the locus of the angular point \(C\) is given by
- A \(2 x+3 y=9\)
- B \(2 x-3 y=9\)
- C \(3 x+2 y=5\)
- D \(3 x-2 y=3\)
Answer & Solution
Correct Answer
(A) \(2 x+3 y=9\)
Step-by-step Solution
Detailed explanation
Let the coordinates of \(C\) be \((\alpha, \beta)\). \(\therefore\) Coordinates of centroid \[ \begin{array}{l} =\left(\frac{2-2+\alpha}{3}, \frac{-3+1+\beta}{3}\right) \\ =\left(\frac{\alpha}{3}, \frac{\beta-2}{3}\right) \end{array} \] Since, centroid lie on \(2 x+3 y=1\)…
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