The slope of a curve at any point on it is the reciprocal of twice the ordinate at that point. If the curve passes through (4,3) then its equation is log(y/3)=x2-k then k is
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answer is 2.
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Detailed Solution
dydx=y2⇒∫dyy⇒∫dx2⇒logy=x2+c Passes through (4,3) then log3=42+c⇒log3=2+c⇒c=log3−2→logy=log3−2+x2⇒log(y/3)=x2−2