Question

two tangents pq and pr are drawn from an external point to a circle with centre o , babu said the quadriterial qorp is cycle do you agree? give reasons​

Answer 1

this is the correct answer

Answer 2

Shown below.

Step-by-step explanation:

Given:

Here two tangents PQ and PR are drawn from an external point to a circle with centre O.

Now as shown in the figure,

OR (radius) ⊥ PR (tangent)

Therefore, ∠ORP = 90°

Similarly, OQ (radius) ⊥ PQ (tangent)

∠ OQP = 90°

In quadrilateral ORPQ,

We know that sum of all interior angles is equal to 360º , so

∠ORP + ∠RPQ+ ∠PQO + ∠QOR = 360º

90º + ∠RPQ + 90º + ∠QOR = 360º

∠RPQ + ∠QOR  = 180º  

PROQ is a cyclic quadrilateral.

Therefore, I agree that Babu said the quadrilateral QORP is cyclic, is coorect answer. And the reason is shown above.