Q. 315.0( 1 Vote )
The vertices of a triangle are (6, 0), (0, 6) and (6, 6). The distance between its circumcentre and centroid is
Let A(0, 6), B(6, 0) and C(6, 6) be the vertices of the given triangle.
Coordinates of N
= (6, 3)
Coordinates of P = (3, 6)
Equation of MN is y = 3
Equation of MP is x = 3
As we know that circumcentre of a triangle is the intersection of the perpendicular bisectors of any two sides .Therefore, coordinates of circumcentre is (3,3)
Thus, the coordinates of the circumcentre are (3, 3) and the centroid of the triangle is (4,4).
Let d be the distance between the circumcentre and the centroid.
Rate this question :
Find the values of θ and p, if the equation x cos θ + y sin θ = p is the normal form of the line .RD Sharma - Mathematics
The vertices of a triangle are (6, 0), (0, 6) and (6, 6). The distance between its circumcentre and centroid isRD Sharma - Mathematics
For specifying a straight line, how many geometrical parameters should be known?Mathematics - Exemplar
If the line passes through the points (2, –3) and (4, –5), then (a, b) isMathematics - Exemplar
Equations of diagonals of the square formed by the lines x = 0, y = 0, x = 1 and y = 1 areMathematics - Exemplar