Question
The centroid of the triangle whose three sides are given by the combined equation


None of these


medium
Solution
The equation of the sides of the triangle are
Let A(x_{1}, 1), B(x_{2}, 1) and O(0, 0) be the vertices of the triangle. Then, x_{1},x_{2} are the roots of the equation
Thus, the coordinates of the centroid are
.
SIMILAR QUESTIONS
The equation represents three straight lines passing through the origin such that
If the equation represents two pairs of perpendicular lines, then
The equation represents three straight lines passing through the origin such that
If one of the lines represented by the equation is a bisector of the angle between the linesxy = 0, then λ =
If θ is the angle between the straight lines given by the equation , then cosec^{2} θ =
The line y = mx bisects the angle between the lines
, if
If two pairs of straight lines having equations have one line common then a =
The point of intersection of the The Pair of Straight Lines given by
The square of the distance between the origin and the point of intersection of the lines given by
If first degree terms and constant term are to be removed from the equation , then the origin must be shifted at the point