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:

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


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