Let A (2,3) and B(-2, 1) be vertices of ...

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-

`3x + 2y=5`

`2x+3y =9`

`3x-2y =3`

`2x-3y=7`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MCQ's
CHHAYA PUBLICATION|Exercise QUESTION PAPER 8|90 Videos
MCQ's
CHHAYA PUBLICATION|Exercise QUESTION PAPER 6|90 Videos
MCQ's
CHHAYA PUBLICATION|Exercise QUESTION PAPER 5|89 Videos
MCQ ZONE 3
CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
Measures of Central Tendency
CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

Let A(2,-3) and B(-2,1) be the vertices of Delta A B Cdot If the centroid of the triangle moves on the line 2x+3y=1, then find the locus of the vertex Cdot

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)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

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 _

(4, -3), (-5, 2) and (x, y) are the three vertices of a triangle. If the centroid of the triangle be the origen, find the values of x and y.

Find the centroid of the triangle formed by the line 2x + 3y - 6 = 0, with the coordinate axes.

Two vertices of a triangle are (1, 3) and (4, 7). The orthocentre lies on the line x + y = 3 . The locus of the third vertex is

(1, -2) and (-2, 3) are the points A and B of the DeltaABC . If the centroid of the triangle be at the origin, then find the coordinates of C.

If two vertices of a triangle are (-2,3) and (5,-1) the orthocentre lies at the origin, and the centroid on the line x+y=7 , then the third vertex lies at

The coordinate of the vertices B and C of the triangle ABC are (5,2,8) and (2, -3, 4) respectively, if the coordinates of the centroid of the triangle are (3, -1,3), then the coordinates of the vertex A are-

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 7

The intercept on the line y=x by the circel x ^(2) + y^(2) -2x =0 is ...
Text Solution
|
A variable circle passes through the fixed point A(p,q) and touches t...
Text Solution
|
Let A (2,3) and B(-2, 1) be vertices of a triangle ABC. If the centroi...
Text Solution
|
The number of common tangent to two circle x ^(2) +y^(2) =4 and x^(2) ...
Text Solution
|
The equation of the directrices of the hyperbola 9x^(2) -16y^(2) -18x-...
Text Solution
|
(5,-4) and (-3, 2) are two foci of an ellipse whose eccentricity is 2/...
Text Solution
|
Which is the simplified representation of (A ' nnB' nnC) uu (B nn C) u...
Text Solution
|
If NN be the set of nature numbers and N(a) ={an , n in NN}, then N(5)...
Text Solution
|
Given n(S) =20, n (A) =12, n(B)=9, n(A nnB)=4 where S is the universal...
Text Solution
|
If mapping f= {(1,-6), (2,-1) , (3,4) , (4,9)} is described by the rul...
Text Solution
|
LetRR be the set of real numbers and f : RR to RR be defined by f(x)=s...
Text Solution
|
Which of one of the following is the domain of the relation R defined ...
Text Solution
|
If f (x+2)=3x +4, then the value of f (x ^(2) -1) is-
Text Solution
|
If (x^(3))/((2x-1) (x+2) (x-3))=A+ (B)/(2x-1) +(C )/(x+2) + (D)/(x-3),...
Text Solution
|
The focus of the parabola y ^(2) -x -2y+2=0 is at-
Text Solution
|
The function f (x) =(2x^(2)+7)/(x ^(3) +3x ^(2) -x-3) is underfined at...
Text Solution
|
The value of lim (xto0) (27^(x)-9^(x)-3^(x)+1)/(sqrt5 -sqrt(4+cos x)) ...
Text Solution
|
The function f satisfies the function equation 3f(x) +2f ((x+59)/(x-1)...
Text Solution
|
If y =sqrtx +(1)/(sqrtx), then the value of (2x (dy)/(dx)+y) is-
Text Solution
|
The value of lim (x to 0) (2 ^(x) -2^(-x))/(x) is-
Text Solution
|