The total number of ordered pairs `(x , y)`satisfying `|x|+|y|=2,sin(( – InterviewSolution

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1.	The total number of ordered pairs `(x , y)`satisfying `\|x\|+\|y\|=2,sin((pix^2)/3)=1,`is equal to2 (b) 3(c) 4 (d)6A. 2B. 3C. 4D. 6
Answer» Correct Answer - C `\|x\|+\|y\|=2, sin ((pi x^(2))/3)=1` `rArr \|x\|, \|y\| in [0, 2], (pi x^(2))/3=(4n+1) pi/2, n in Z` `rArr x^(2)=(3(4n+1))/2=3/2`, as `\|x\| le 2` `rArr \|a\|=sqrt(3/2), \|y\|=4-sqrt(3/2)` Thus, there are four ordered pairs.

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