Quantitative Aptitude Ques 295
Question: Area of the triangle formed by the graph of the straight lines $ x-y=0, $ $ x+y=2 $ and the X-axis is
Options:
A) 1 sq unit
B) 2 sq units
C) 4 sq units
D) None of the above
Show Answer
Answer:
Correct Answer: A
Solution:
- From figure, $ \Delta AOB $ is made by given lines, where A (1, 1), O(0, 0) and B (2, 0) are coordinates. Here, $ x _1=1, $ $ y _1=1, $ $ x _2=0 $ $ y _2=0, $ $ x _3=2, $ $ y _3=0 $
$ \therefore $ Area of $ \Delta AOB=\frac{1}{2}[x _1(y _2-y _3) $
$ +x _2(y _3-y _1)+x _3(y _1-y _2)] $
$ =\frac{1}{2}[1,(0-0)+0,(0-1)+2,(1-0)] $
$ =\frac{1}{2}[1\times 0+0\times (-1)+2\times 1] $
$ =\frac{1}{2}[0-0+2]=\frac{1}{2}\times 2=1,sq,unit $
BETA
