Pair Of Straight Lines Question 66

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

[IIT 1995]

Options:

A) $ (0,0) $

B) $ ( \frac{1}{2},\frac{1}{2} ) $

C) $ ( \frac{1}{3},\frac{1}{3} ) $

D) $ ( \frac{1}{4},\frac{1}{4} ) $

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Answer:

Correct Answer: A

Solution:

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