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  • The orthocentre of the triangle formed by the lines <img alt="\mathrm{x y=0 \: and\: x+y=1}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7Bx%20y%3D0%20%5C%3A%20and%5C%3A%20x&

The orthocentre of the triangle formed by the lines \mathrm{x y=0 \: and\: x+y=1} is
 

Option: 1

\mathrm{\left(-\frac{1}{2}, \frac{1}{2}\right)}
 


Option: 2

(0,0)


 


Option: 3

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


Option: 4

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


Answers (1)

best_answer

The orthocentre of a right-angled triangle is at the vertex of right angle.
\therefore the orthocentre is (0,0).

Hence option 2 is correct.

Posted by

vishal kumar

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