1.

Let f′′(x)+f′(x)+(f(x))2=x2 be the differential equation of a curve y=f(x) and let P be the point of local maximum of y=f(x). Then the number of tangents which can be drawn from P to x2−y2=16 is

Answer» Let f′′(x)+f(x)+(f(x))2=x2 be the differential equation of a curve y=f(x) and let P be the point of local maximum of y=f(x). Then the number of tangents which can be drawn from P to x2y2=16 is


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