SATHEE: Quantitative Aptitude Ques 295

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 $

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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:

Answer:

Solution:

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