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 
is a line:
(a)
Parallel to x-axis
(b)
with slope 
(c)
with slope 
(d)
Parallel to y-axis
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 is a line:
(a)
Parallel to x-axis
(b)
with slope
(c)
with slope
(d)
Parallel to y-axis
Question ID - 56845 | SaraNextGen Top Answer
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 is a line:
(a)
Parallel to x-axis
(b)
with slope
(c)
with slope
(d)
Parallel to y-axis
|
A point P moves on the line 2x − 3y + 4 = 0. If Q(1, 4) and R(3, |
|||
|
(a) |
Parallel to x-axis |
(b) |
with slope |
|
(c) |
with slope |
(d) |
Parallel to y-axis |
1 Answer
127 votes
Answer Key / Explanation : (b) -
Let the centroid of 
is (h, k) & P is (
), then
= h and 
= (3h − 4) 
= (3k − 4)
Point P(
) lies on line 2x − 3y + 4 = 0
2(3h − 4) − 3(3k − 2) + 4 = 0
⇒ locus is 6x − 9y + 2 = 0
127 votes
Answer Link
127