Orthocentre of triangle formed by lines xy = 0 and x + y = 1 is

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9.Straight Line

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The orthocentre of the triangle formed by the lines $xy = 0$ and $x + y = 1$ is

A

$(0,0)$

B

$\left( {\frac{1}{2},\frac{1}{2}} \right)$

C

$\left( {\frac{1}{3},\frac{1}{3}} \right)$

D

$\left( {\frac{1}{4},\frac{1}{4}} \right)$

(IIT-1995)

Solution

(a) Since the triangle is right angled at $O(0,0)$, therefore $(0,0)$ is its orthocentre.

Standard 11

Mathematics

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