Straight Line and Pair of Straight Lines 3 Question 5

6. The straight lines x+y=0,3x+y4=0,x+3y4=0 form a triangle which is

(1983, 1M)

(a) isosceles

(b) equilateral

(c) right angled

(d) None of the above

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Answer:

Correct Answer: 6. (a)

Solution:

  1. The points of intersection of three lines are A(1,1),B(2,2),C(2,2).

Now,

|AB|=1+9=10|BC|=16+16=42

 and |CA|=9+1=10

Triangle is an isosceles.



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