Advertisements
Advertisements
प्रश्न
A(1, 4), B(3, 2) and C(7, 5) are vertices of a triangle ABC. Find the co-ordinates of the centroid of triangle ABC.
उत्तर
Co-ordinates of the centroid -
`x = (x_1 + x_2 + x_3)/3`
= `(1 + 3 + 7)/3`
= `11/3`
`y = (y_1 + y_2 + y_3)/3`
= `(4 + 2 + 5)/3`
= `11/3`
The co-ordinates of the centroid of triangle ABC are `(11/3, 11/3)`.
APPEARS IN
संबंधित प्रश्न
Find, which of the following points lie on the line x – 2y + 5 = 0 :
(–5, 0)
The co-ordinates of two points P and Q are (2, 6) and (−3, 5) respectively. Find:
- the gradient of PQ;
- the equation of PQ;
- the co-ordinates of the point where PQ intersects the x-axis.
The figure given alongside shows two straight lines AB and CD intersecting each other at point P(3, 4). Find the equations of AB and CD.
Find the equation of the line, whose x-intercept = 5 and y-intercept = 3
Given equation of line L1 is y = 4.
- Write the slope of line L2 if L2 is the bisector of angle O.
- Write the co-ordinates of point P.
- Find the equation of L2.
Find the inclination of a line whose gradient is 0.5317
Find the value of a line parallel to the following line:
x = `"y"/2` - 5
Find the value of a line parallel to the following line:
`(2"x")/5 + "y"/3` = 2
Find the value of a for which the points A(a, 3), B(2, 1) and C(5, a) are collinear. Hence, find the equation of the line.
Find the equation of a straight line which cuts an intercept – 2 units from Y-axis and being equally inclined to the axis.
