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Question

Mathematics Question on Straight lines

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

A

(12.12)\Bigg(\frac{1}{2}.\frac{1}{2}\Bigg)

B

(13.13)\Bigg(\frac{1}{3}.\frac{1}{3}\Bigg)

C

(0, 0)

D

(14.14)\Bigg(\frac{1}{4}.\frac{1}{4}\Bigg)

Answer

(0, 0)

Explanation

Solution

Orthocentre of right angled triangle is at the vertex of right angle. Therefore, orthocentre of the triangle is at (0 , 0 ).