Q. 135.0( 1 Vote )

The slope of the tangent at a point P(x, y) on a curve is If the curve passes through the point (3, – 4), find the equation of the curve.

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)2 + (3)2 = c1


16 + 9 = c1


c1 = 25


Putting the value of c1 in equation (1)



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