If $$Ax1$$,$$y1$$,$$Bx2$$,$$y2$$,$$Cx3$$,$$y3$$ are the vertices ofa triangle, then the equation x y $$1x1$$ $$y1$$ $$1x2$$ $$y2$$ $$1+x$$ y $$1x1$$ $$y1$$ $$1x3$$ $$y3$$ $$1=0$$ represents

Question

If $$Ax1$$,$$y1$$,$$Bx2$$,$$y2$$,$$Cx3$$,$$y3$$ are the vertices ofa triangle, then the equation   x    y    $$1x1$$    $$y1$$    $$1x2$$    $$y2$$    $$1+x$$    y    $$1x1$$    $$y1$$    $$1x3$$    $$y3$$    $$1=0$$ represents

Infinity Learn · Accepted Answer

The given equation can be written $$asxy1$$−$$y2+y1$$−$$y3$$−$$yx1$$−$$x2+x1$$−$$x3$$                     $$+x1y2$$−$$x2y1+x1y3$$−$$y1x3=0$$⇒$$x2y1$$−$$y2$$−$$y3$$−$$y2x1$$−$$x2$$−$$x3+y12x1$$−$$x2$$−$$x3$$−$$x12y1$$−$$y2$$−$$y3=0$$⇒y−$$y1=2$$∣$$y1$$−$$y2$$−$$y32x1$$−$$x2$$−$$x3x$$−$$x1which$$ represents the median through A.

If $A (x_{1}, y_{1}), B (x_{2}, y_{2}), C (x_{3}, y_{3})$ are the vertices of
a triangle, then the equation $|\begin{array}{lll} x y 1 \\ x_{1} y_{1} 1 \\ x_{2} y_{2} 1 \end{array}| + |\begin{array}{lll} x y 1 \\ x_{1} y_{1} 1 \\ x_{3} y_{3} 1 \end{array}| = 0$ represents

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If Ax1,y1,Bx2,y2,Cx3,y3 are the vertices ofa triangle, then the equation x y 1x1 y1 1x2 y2 1+x y 1x1 y1 1x3 y3 1=0 represents

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If $A (x_{1}, y_{1}), B (x_{2}, y_{2}), C (x_{3}, y_{3})$ are the vertices of
a triangle, then the equation $|\begin{array}{lll} x y 1 \\ x_{1} y_{1} 1 \\ x_{2} y_{2} 1 \end{array}| + |\begin{array}{lll} x y 1 \\ x_{1} y_{1} 1 \\ x_{3} y_{3} 1 \end{array}| = 0$ represents