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Differential Calculus

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11 Apr 2012 23:11:49 IST

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IF F(X)

Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Differential Calculus

if f(x) be a continous nd assumes only rational values so that f(2010) =1 then roots of f(1)x^2 + 2f(2)x + 3f(3) =0 r (A)real,diff (B)equal (C)complex (D)NOT

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GOPAKUMAR

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Joined: 18 Mar 2010

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25 Apr 2012 20:41:15 IST

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complex

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Cool goIITian

Joined: 21 Feb 2012

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25 Apr 2012 21:24:32 IST

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id a function is continuous and takes only rational values, then t must be a constant function. therefore f(1)=f(2)=f(3)=........ therefore the equation becomes x^2+2x+3=0. therefore complex roots

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