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Question

What is the orthocentre of the triangle formed by the lines xy=0, x+y=0 is


A

12,12

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B

13,13

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C

0,0

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D

14,14

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Solution

The correct option is C

0,0


Explanation for the correct option

Three sides of triangle are

x=0y=0x+y=1

So, the vertices of the triangle are O0,0,A1,0 and B0,1

Therefore the triangle is a right angle triangle whose vertices is at origin where 90°angle formed.

So the orthocentre of the triangle is at origin 0,0.

Hence, option C is the correct answer.


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