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Sum of roots of the equation `x^2-2x^2sin^2(pix)/2+1=0`is |
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Answer» Correct Answer - A `x^(4)-2x^(2) "sin"^(2) pi/2 x+1=0` `rArr x^(4)+1=2x^(2) "sin"^(2) (pi x)/2` `rArr x^(4)+1=2x^(2) (1-"cos"^(2) (pi x)/2)` `rArr (x^(2)-1)^(2)+2x^(2) "cos"^(2) (pi x)/2=0` `rArr (x^(2)-1)=0` and `2x^(2) "cos"^(2) (pi x)/2=0` `rArr x= pm 1` |
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