JEE Main 2019 Mathematics question
A point P moves on the line 2x − 3y + 4 = 0. If Q(1, 4) and R(3, −2) are fixed points, then the locus of the centroid of ΔPQR is a line:
Answer: (B)
Solution
P = (3h − 4, 3k − 2) on the line ⇒ 6h − 9k + 2 = 0.
A point P moves on the line 2x − 3y + 4 = 0. If Q(1, 4) and R(3, −2) are fixed points, then the locus of the centroid of ΔPQR is a line:
P = (3h − 4, 3k − 2) on the line ⇒ 6h − 9k + 2 = 0.