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Let L be the line of intersection of t...

Let L be the line of intersection of the planes `2x""+""3y""+""z""=""1` and `x""+""3y""+""2z""=""2` . If L makes an angles ` alpha ` with the positive x-axis, then cos` alpha ` equals

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`f(x)=min(|x|,1-|x|,1/4)`

Now, from the figure,
`int_(-1)^(1)f(x)dx=2` (Area of trapezium OABC)
`=2(1/2(1 + 1/2)1/4)=3/8`
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CENGAGE ENGLISH-DEFINITE INTEGRATION -JEE ADVANCED
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