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,




……(1)


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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