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Question

Draw the graph of 2x211x+12.

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Solution

2x211x+12
2x28x3x+12
2x(x4)3(x4)
(2x3)(x4)=0
WE know that [P] is discontinuous at integral value of P
ow sinx+cosx=2.sin(x+π4)
[sinx+cosx]=[2sin(x+π4)] will be discontinuous at integral values of [2sin(x+π4)] in the interval (0,2π)
x=π2,3π4,π,3π2,7π4

1357794_1194337_ans_6aa772a72a104b6bbe77990276d93e53.PNG

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