Home
Class 12
MATHS
A point P moves on line 2x-3y+4=0 If Q(1...

A point P moves on line `2x-3y+4=0` If `Q(1,4)` and `R(3,-2)` are fixed points, then the locus of the centroid of `triangle PQR` is a line: (a) with slope `3/2` (b) parallel to y-axis (c) with slope `2/3` (d) parallel to x-axis

A

parallel to x-axis

B

with slope `(2)/(3)`

C

with slope `(3)/(2)`

D

parallel to y-axis

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 4 (Circle)|8 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 5 (Parabola)|8 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|541 Videos

  • LIMITS

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

Find the equation of line passing through point (2,3) which is (i) parallel of the x-axis (ii) parallel to the y-axis

Let P(2 ,3), Q ( -2 ,1) be the vertices of the triangle PQR .If the centroid of trianglePQR lies on the line 2x + 3y =1 , them locus of R is

Let A (2,3) and B(-2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x+3y=1, then the locus of the vertex C is the line-

Find points on the curve (x^(2))/(4) +(y^(2))/(25) =1 at which the tangents are (i) parallel to x-axis (ii) parallel to y-axis.

(x-1)(y-2)=5 and (x-1)^2+(y+2)^2=r^2 intersect at four points A, B, C, D and if centroid of triangle ABC lies on line y = 3x-4 , then locus of D is

The coordinates of A and B are (1,3)and (2,1) respectively and P is a moving point on the straight line x+7y=12.Find the locus of the centroid of the triangle ABP.

Let P (2 , -3) , Q (-2 , 1) be the vertices of the triangle PQR . If the centroid of Delta PQR lies on the line 2x + 3y = 1 , then the locus of R is _

Let A(2,-3)andB(-2,1) be two angular points of DeltaABC . If the centroid of the triangle moves on the line 2x+3y=1 , then the locus of the angular point C is given by

P is a point on the line y+2x=1, and Qa n dR two points on the line 3y+6x=6 such that triangle P Q R is an equilateral triangle. The length of the side of the triangle is

Find the equation of the line which has y-intercept 4 units and is parallel to the line 2x-3y-7=0. Find the point where it cuts the x-axis.