The function \(f\) satisfies \(f(x)+f(2 x+y)+5 x y=f(3 x-y)+2 x^2+1\) for all real numbers \(x, .... VIDEO
The function \(f\) satisfies \(f(x)+f(2 x+y)+5 x y=f(3 x-y)+2 x^2+1\) for all real numbers \(x, y\). Let a chord to parabola \(x^2=4 y\), normals to parabola at ends of which satisfy the relation, \(m_1 m_2=-2\), where \(m_1, m_2\) represent slope of normals, passes through a fixed point ' \(p\) ' on axis of parabola. Let \(y=g(x)\) represent line passing through point \(p\). š²PW App Link - https://bit.ly/YTAI_PWAP šPW Website - https://www.pw.live
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