Tangent |Point of Tangency | Normal to Circle

Find the equation of the tangent and normal to the circle 2x^2+2y^2-3x-4y+1=0 at the point (1,2)

Length of tangent from a Point to a Circle.

If the tangent to the curve y=6x-x^2 is parallel to line 4x-2y-1=0, then the point of tangency on the curve is

Problem on Tangent & Normal||Length OF Tangent ||Power OF Point With Respect to Circle

The locus of the point from which perpendicular tangent and normals can be drawn to a circle is

Show that a tangent to an ellipse whose tangent intercepted by the axes is the shortest, is divided at the point of tangency into two parts respectively, is equal to the semi-axes of the ellipse.

Find the curve for which the sum of the lengths of the tangent and subtangent at any of its point is proportional to the product of the co-ordinates of the point of tangency, the proportionality factor is equal to k.

Fill in the blanks: The common point of a tangent and the circle is called...... A circle may have ..... parallel tangents. A tangent to a circle intersects it in ..... point(s). A line intersecting a circle in two points is called a ........ (v) The angle between tangent at a point on a circle and the radius through the point is .........

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