## Question

### Solution

Correct option is If the points be A, B, C then AB = BC = CA = 2 is equilateral.

Hence the in center will coincide with the centroid. #### SIMILAR QUESTIONS

Q1

(0, 0), A(1, 1), B(0, 3) are the vertices of a triangle OAB.divides OB in the ratio 1 : 2, Q is the mid-point of AP, R divides AB in the ratio 2 : 1

area of ΔPQR : area of ΔOAB is

Q2

(0, 0), A(1, 1), B(0, 3) are the vertices of a triangle OAB.divides OB in the ratio 1 : 2, Q is the mid-point of AP, R divides AB in the ratio 2 : 1

If S is the mid-point of PR, then QS is equal to

Q3

a and b real numbers between 0 and 1 A(a, 1), B(1, b) andC(0, 0) are the vertices of triangle

1:- If the triangle ABC is equilateral, its area is equal to

Q4

If the triangle ABC in  isosceles with AC = BC and 5(AB)2 = 2(AC)2 then

Q5

The origin is shifted to(1, –2)then what are the coordinates be shifted if the point (3, –5) in the new position?

Q6

If the origin is shifted to (1, –2), the coordinates of A become (2, 3). What are the original coordinates of A?

Q7

Determiner as to what point the axes of the coordinates be shifted so as to remove the first degree terms from the equation

(x, y) = 2x2 + 3y2 – 12x + 12+ 24 = 0

Q8

What will be the coordinates of the point when the axes are rotated through an angle of 300 in clockwise sense?

Q9

What will be the coordinates of the point in original position ifr its coordinates after rotation of axes through an angle 600 ?

Q10

If a vertex of a triangle is (1, 1) and the mid-point of two sides through the vertex are (–1, 2) and (3, 2), then the centroid of the triangle is