Equation OF tangent for defined function || when tangent is passing through point outside curve with Illustration

To construct the tangents to a circle from a point outside it.

A curve is such that the mid-point of the portion of the tangent intercepted between the point where the tangent is drawn and the point where the tangent is drawn and the on the line y=x. If the curve passes through (1,0), then the curve is

Tangents from a Point Outside the circle.

Equation of tangent at a point | Equation of tangent from a point | Angle between tangents

At an extreme point of a function f(X) the tangent to the curve is

Finding the equations of tangent and normal to a curve at a point

For the curve y=4x^3-2x^5 find all points at which the tangent passes through the origin.

The number of tangent/tangents drawn from a point outside to a circle is/are ________.