Show that there is no cubic curve for which the tangent lines at two distinct points coincide.

How many lines can pass through two distinct points on a plane?

In how many points two distinct lines can intersect?

The number of lines that can be drawn passing through two distinct points is

Statement 1: The point of intersection of the tangents at three distinct points A , B ,a n dC on the parabola y^2=4x can be collinear. Statement 2: If a line L does not intersect the parabola y^2=4x , then from every point of the line, two tangents can be drawn to the parabola.

Let C be the curve y^(3) - 3xy + 2 =0 . If H is the set of points on the curve C, where the tangent is horizontal and V is the set of points on the curve C, where the tangent is vertical, then H = … and V = … .

A line which intersects a circle at two distinct point is called a ______ of the circle.

Find the range of values of m for which the line y=m x+2 cuts the circle x^2+y^2=1 at distinct or coincident points.

How many line can be drawn through two distinct given points

Find the points on the curve y=x^3-2x^2-x at which the tangent lines are parallel to the line y=3x-2

Find the points on the curve y=x^3-2x^2-x at which the tangent lines are parallel to the line y=3x-2 .