Let S be the set of all values of x for which the tangent to the curve `y = f(x)= x^(3) - x^(2)- 2x` at `(x, y)` is parallel to the line segment joining the points `(1, f(1)) and (-1, f(-1))`, then S is equal to

If the tangent to the curve , y =f (x)= x log_(e)x, ( x gt 0) at a point (c, f(c)) is parallel to the line - segment joining the point (1,0) and (e,e) then c is equal to :

The point at which the tangent to the curve y = 2 x^(2) - x + 1 is parallel to the line y = 3 x + 9 is

The tangent of the curve y = 2x^2 - x + 1 is parallel to the line y = 3x + 9 at the point

The point on the curve y=x^3+x-2 , the tangent at which is parallel to the line y=4x-1 is

Find the points on the curve y = x^3 + 2x^2 - 3x + 1 , the tangents at which is parallel to the line 4x-y=3

Point (s) at which the tangent to curve y=(1)/(1+x^(2) is parallel to the X - axis are

If the function f(x) = x^(3) – 6ax^(2) + 5x satisfies the conditions of Lagrange’s mean theorem for the interval [1, 2] and the tangent to the curve y = f(x) at x = 7//4 is parallel to the chord joining the points of intersection of the curve with the ordinates x = 1 and x = 2 . Then the value of a is