If four distinct points of the curve `y=3x^(4)-20x^(3)+12x^(2)+96x+100` are collinear,then the A.M.of the x - coordinates of the four points is

The number of distinct real roots of x^(4)-4x^(3)+12x^(2)+x-1=0

The number of distinct real roots of x^(4)-4x^(3)+12x^(2)+x-1=0 is :

Equations of tangents to the curve y=2x^(3)-3x^(2)-12x+20 , which are parallel to the X-axes, are

The point on the curve 6y=4x^(3)-3x^(2) , the tangent at which makes an equal angle with the coordinate axes is

Number of distinct real roots of equation 3x^4+4x^3-12x^2+4=0

f(x)=x^(4)-12x^(3)+52x^(2)-96x+48 has maximum value at x = …..

A particle moves along the curve y=(4)/(3)x^(3)+5 . Find the points on the curve at which the y - coordinate changes as fast as the x - coordinate.

1.Find the slope of tangent to the curve y=3x^(2)-6 at the point on it whose x - coordinate is 2.

Find the coordinates of the points at which the circles x^2+y^2-4x-2y=4 and x^2+y^2-12x-8y=12 touch each other. Find the coordinates of the point of contact and equation of the common tangent at the point of contact.