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The Orthocentre

Orthocentre o...

Question

Orthocentre of the triangle whose vertices are (0 , 0) , (3 , 4) and (0 , 4) is ,

A

(0 , 0)

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B

(1 , 1)

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C

(2 , 2)

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D

(3 , 3)

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Solution

The correct option is A (0 , 0)
Let $A = (0, 0) B = (3, 0) C = (0, 4)$
Slope of AB $= \frac{y_{1} - y_{2}}{x_{1} - x_{2}} = \frac{0 - 0}{0 - 3} = 0$
Zero slope means horizontal line. So sum is wrong.

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