First slide

Cartesian plane

Question

If the vertices of a triangle are $(\sqrt{5}, 0), (\sqrt{3}, \sqrt{2}), and (2, 1)$ , then the orthocenter of the triangle is

Moderate

A

$(\sqrt{5}, 0)$
B

(0,0)
C

$(\sqrt{5} + \sqrt{3} + 2, \sqrt{2} + 1)$
D

None of these

Solution

The circumcenter of the triangle is (0,0) as vertices are at equal distance from (0,0). So, the orthocenter will be (sum of x-coordinates, sum of y-coordinates.)

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