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Question

The orthocentre of a triangle formed by the lines x−2y=1,x=0 and 2x+y−2=0 is

A
(0,1)
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B
(1,0)
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C
(1,2)
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D
(1,2)
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E
(0,0)
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Solution

The correct option is B (1,0)
Given equations of lines are
x2y=1,x=0 and 2x+y2=0
From figure,
Since, AB is perpendicular to AC.
So, orthocentre is the meeting point of AB and AC, i.e., (1,0).
710533_675574_ans_422fe89b204a4875ac0f332c0c38419d.png

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