Question

) In adjacent construction PQ and PR are

A) Tangents to the circle of radius PO

B) Tangents to the circle of diameter PO

C) Tangents to the circle with centre ‘O’

D) Tangents to the circle of radius PM​

Answer 1

Answer:

In quadrilateral PQOR, ∠P+∠PQO+∠PRO+∠QOR=360

∘

But ∠PQO=∠PRO=90

∘

(Tangent is perpendicular to radius at point of contact)

Thus, 50

∘

+90

∘

+90

∘

+∠QOR=360

∘

So, ∠QOR=130

∘

In triangle OQR, ∠OQR+∠ORQ+∠QOR=180

∘

Hence, 2.∠OQR+∠QOR=180

∘

(because, ∠OQR=∠ORQ; (since OQ=OR, radii ))

Thus, 2.∠OQR+130

∘

=∠180

∘

So, ∠OQR=25

∘

Answer 2

Answer:

option A Tangent to the circle of radius PO