Find the coordinates of the orthocentre of the triangle whose vertices are \$(1, -2), (3, 1)\$ and \$(–2, 3)\$.

A) \$( \frac{37}{19}, \frac{7}{19})\$

B) \$( \frac{37}{18}, \frac{8}{19})\$

C) \$( \frac{37}{17}, \frac{9}{19})\$

D) \$( \frac{36}{19}, \frac{17}{19})\$

Find the coordinates of the orthocentre of the triangle whose vertices are \$(3,1), (0,4)\$ and \$(–3,1)\$.

A) \$(0,4)\$

B) \$(2,3)\$

C) \$(1,4)\$

D) \$(4,4)\$

Find the coordinates of the orthocentre of the triangle whose vertices are \$(1, 2), (2, 3)\$ and \$(4, 3)\$.

A) \$(1,6)\$

B) \$(2,3)\$

C) \$(1,4)\$

D) \$(4,5)\$

Find the coordinates of the orthocentre of the triangle whose vertices are \$(-1, 3), (2, -1)\$ and \$(0, 0)\$.

A) \$(-1, 4)\$

B) \$(-6, 8)\$

C) \$(-4, -3)\$

D) \$(2, -3)\$

Find the coordinates of the orthocentre of the triangle whose vertices are \$(0, 1), (2, -1)\$ and \$(-1, 3)\$.

A) \$(-12, 4)\$

B) \$(-6, 18)\$

C) \$(-14, -3)\$

D) \$(-12, -8)\$