A quadrilateral is drawn to circumscribe a circle. Which of the following equations must hold?

Answer and explanation

Correct answer: B.

  1. Step 1: Tangents drawn from an external point to a circle are equal in length.
  2. Step 2: Let points of contact be . Then .
  3. Step 3: .
Answer
.
Why not the others: equates adjacent sums; difference form does not hold; and diagonals are not circumscribed sides.

Practise more Geometry and Trigonometry.

Free questions with an explanation for every one, and full timed CBSE Class 10 mock tests.