Q. 215.0( 1 Vote )

Find the equation of the curve which passes through the point (3, – 4) and has the slope at any point (x, y) on it.

Answer :

Given the slope of the tangent =

We know that slope of tangent =

Integrating both sides,


Now, the curve passes through (3, – 4)

So, it must satisfy the above equation

– 4 = (3)2× c

– 4 = 9c

c =

Putting the value of c in equation (1)

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