Prove that the circle drawn with any side of a rhombus as diameter, passes through the point of intersection of its diagonals.

If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side.

If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side.

Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.

Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact.

Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contacts .

Prove that the tangent at any point of a circle is perpendicular to the radius through the point of tangent

Prove that the tangents drawn to a circle from an external point are equal.

Prove that the tangents drawn to a circle from an external point are equal.

Prove that sum of the squares of the side of a rhombus is equal to the to the sum of the squares of its diagonals.

Prove that the tangents to a circle at the end points of a diameter are parallel.