Find a point on the curve `y = x^(3)`, where the tangent to the curve is parallel to the chord joining the points (1, 1) and (3, 27)

Using Lagrange's mena value theorem, find a point on the curve y=x^(2) where the tangent to the curve is parallel to the line joining the points (1, 1) and (2, 4).

Find the points on the curve y = x^(3) - 3x , where the tangent to the curve is parallel to the chord joining (1, -2) and (2, 2)

Find the points on the curve y=x^3-3x , where the tangent to the curve is parallel to the chord joining (1,\ -2) and (2,\ 2)

Find a point on the curve y= (x-3)^(2) , where the tangent is parallel to the chord joining the points (3,0) and (4,1).

Using Lagrange's Mean Value theorem , find the co-ordinates of a point on the curve y = x^(3) at which the tangent drawn is parallel to the chord joining the points (1,1) and (3,27).

Find a point on the curve f(x)= (x-3)^2 , where the tangent is parallel to the chord joining the points (3, 0) and (4, 1).

Find a point on the curve y = x^3 where the tangent is parallel to the chord joining (1,1) and (3,27)

Find a point on the curve y=x^(2)+x, where the tangent is parallel to the chord joining (0,0) and (1,2).

Consider f(x)=int_1^x(t+1/t)dt and g(x)=f'(x) If P is a point on the curve y=g(x) such that the tangent to this curve at P is parallel to the chord joining the point (1/2,g(1/2)) and (3,g(3)) of the curve then the coordinates of the point P