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Q-11 both parts fast i am a paid member

Q.11. If (- l, 3), (1, - 1) and (5, 1) are the vertices of a triangle. Find the length of median through first vertex.

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The vertices of triangle (x, 1), (y, 2) and (- 3, ${z}^{2}$). Find the condition that centroid may lie on y-axis.

$\mathrm{Note}:\mathrm{Length}\mathrm{of}\mathrm{the}\mathrm{median}\mathrm{AD},\mathrm{where}\mathrm{A}\left({\mathrm{x}}_{1},{\mathrm{y}}_{1}\right)=\left(-1,3\right)\phantom{\rule{0ex}{0ex}}\mathrm{and}\mathrm{D}\left({\mathrm{x}}_{2},{\mathrm{y}}_{2}\right)=\left(3,0\right)\mathrm{is}\mathrm{given}\mathrm{by}:\phantom{\rule{0ex}{0ex}}\sqrt{{\left({\mathrm{x}}_{1}-{\mathrm{x}}_{2}\right)}^{2}+{\left({\mathrm{y}}_{1}-{\mathrm{y}}_{2}\right)}^{2}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}$

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