Q. 174.2( 51 Votes )

# Find the points o

Answer :

The given curve y = x3 Then, the slope of the tangent at the point (x, y) is given by: We know that, when the slope of the tangent is equal to the y- coordinate of the point,

Then y = 3x2

Also, we have y = x3

3x2 = x3

x2(x-3) = 0

x = 0, x = 3

When x = 0 then y = 0

and when x = 3 then y = 27

Therefore, the required points are (0, 0) and (3, 27).

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