The orthocentre of a triangle whose vertices are 0- 0- -3 - 0 and 0- -6 is

The correct option is A none of theseGiven vertices A(0,0),B(√(3),0),C(0,√(6)) Here right angle is formed where rigth angle is situated at origin #160;H ...

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Standard XII

Mathematics

Orthocentre

The orthocent...

Question

The orthocentre of a triangle whose vertices are $(0, 0), (\sqrt{3}, 0)$ and $(0, \sqrt{6})$ is

(2, 1)

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(3, 2)

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(4, 1)

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none of these

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Solution

The correct option is A none of these
Given vertices $A (0, 0), B (\sqrt{3}, 0), C (0, \sqrt{6})$
Here right angle is formed where rigth angle is situated at origin
Hence orthocentre of right angle triangle situated at vertex whose angle is $90^{0}$
So $A (0, 0)$ is orthocentre

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The orthocentre of a triangle whose vertices are (0,0),(√3,0) and (0,√6) is

The correct option is A none of theseGiven vertices A(0,0),B(√3,0),C(0,√6)Here right angle is formed where rigth angle is situated at origin Hence orthocentre of right angle triangle situated at vertex whose angle is 900So A(0,0) is orthocentre

The orthocentre of a triangle whose vertices are $(0, 0), (\sqrt{3}, 0)$ and $(0, \sqrt{6})$ is

The correct option is A none of these
Given vertices $A (0, 0), B (\sqrt{3}, 0), C (0, \sqrt{6})$
Here right angle is formed where rigth angle is situated at origin
Hence orthocentre of right angle triangle situated at vertex whose angle is $90^{0}$
So $A (0, 0)$ is orthocentre