Скачать или смотреть Circles | NCERT Solution for Class 10 Maths Exercise 10.2 Q11 | Geometry Proof | CBSE Maths

Circles | CBSE Online Coaching | NCERT Solution for Class 10 Maths Exercise Question Exercise 10.2 Question 11 | Geometry Proof

This question requires application of two concepts:
1. Length of tangents drawn from the same point to a circle are equal.
2. Properties of a parallelogram and a rhombus.

Question:
Prove that a parallelogram circumscribing a circle is a rhombus.

Approach:
1. The tangents drawn to a circle from an external point are equal. Mark all four sets of tangents drawn from the four vertices of the parallelogram and equate the four pairs.
2. Add the four relations obtained in Step 1.
3. Reordering the terms of the equation will result in finding that the four sides of the parallelogram are equal.
4. A parallelogram with all sides equal is a rhombus.

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