The abscissa of two points on y = ( 2010 ) x 2 + ( 2011 ) x − 2011 are 2010 and 2012. If the chord joining those two points is parallel to tangent at P on the curve then the ordinate of P is equal to

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Apply LMVT with a = 2010 , b = 2012 ; f ( x ) = 2010 x 2 + 2011 x − 2011 b − a f ( b ) − f ( a ) ​ = f ′ ( c ) ⇒ c = 2011 , f ( c ) = ( 2010 ) ( 2011 ) ( 2012 )

Mathematics - Application of Derivative Question with Solution | TestHub

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