Question bank/JEE Main/Mathematics

The equations of perpendicular of the sides AB & AC of
[IMAGE] are x - y - 4 = 0 and 2x - y - 5 = 0
respectively. If the vertex A is (-2,3) and circumcenter is
[IMAGE] then which of the following is true.

Aequation of median of side AB is x-y+1=0Bcentroid of triangle ABC is (3,1)Cvertex C is (4, 0)DArea of triangle ABC is 12.

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Equation of line[IMAGE], is
[IMAGE] Equation of line[IMAGE], is [IMAGE] Or
[IMAGE] Point C is mirror image of point A w.r.t line [IMAGE] Similarly B is mirror image of A in line [IMAGE] median through B is [IMAGE] median through C is [IMAGE] Area [IMAGE] Centroid [IMAGE]

Source: Grass-G / M-10 Mathematics Paper-1 30 Oct.docx