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Prove that the tangents drawn at the ends of a diameter of a circle are parallel.
In the given figure, RS is the tangent to the circle at the point L and MN is the diameter. If ∠NML = 30°, then ∠RLM is :
In two concentric circles, a tangent to the smaller circle will intersect the larger circle at :
A circle is touching the side BC of a △ABC at the point P and touching AB and AC produced at points Q and R respectively. Prove that AQ = 1/2 (Perimeter of △ABC).
In Fig.-2, if a circle touches the side QR of △PQR at S and extended sides PQ and PR at M and N, respectively, then prove that PM = 1/2 (PQ + QR + PR)
In Fig. 3, a triangle ABC is drawn to circumscribe a circle of radius 4 cm such that the segments BD and DC into which BC is divided by the point of contact D are of lengths 6 cm and 8 cm respectively. If the area of △ABC is 84 cm², find the lengths of sides AB and AC.
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