Straight Line and Pair of Straight Lines 1 Question 35
35. The orthocentre of the triangle formed by the lines $x y=0$ and $x+y=1$, is
$(1995,2 M)$
(a) $\frac{1}{2}, \frac{1}{2}$
(b) $\frac{1}{3}, \frac{1}{3}$
(c) $(0,0)$
(d) $\frac{1}{4}, \frac{1}{4}$
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Solution:
- Orthocentre of right angled triangle is at the vertex of right angle. Therefore, orthocentre of the triangle is at $(0,0)$.