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if G is the centroid of the triangle ABC, prove by vector method that GA+GB+GC=0

incomplete question

yes ,it is possible because in graph, through a point infinite lines can be passed

let the algebraic sum of the perpendicular distance from (3,0),(0,3) and (2,2) to a variable line is zero, then the line passes through a fixed point whose co-ordinates are?

Expalnation The two lines are perpendicular to each other and are also tangents of the circle. So the intersection point of these two lines lies on the director circle whose radius is 2 0.5 R so...

HInt.: Assume the third vertex to be (x,y). Now find the equations of the three altitutdes from the three vertices. Solve the three equaition to get the orthocenter. Since orthocenter is at origin,...

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