Question

25. I n the figure PA and PB are tangents to the circle with centre o. If < APB = 60⁰, then <OAB
is

a) 30⁰ b) 60⁰ c) 90⁰ d) 15⁰​

Answer 1

Answer:

Construction: Join OB .

we know that radius and tangent are perpendicular at the point of their contact.

Step-by-step explanation:

∆OBP=∆OAP=90°

NOW,IN QUADRILATERAL ∆AOBP

∆AOB+∆OBP+∆APB+∆OAP=360°

AOB+90°+60°+90°=360°

240+AOB=360

∆AOB=120°

NOW,IN ISOSCELES TRIANGLE ∆AOB

∆AOB+∆OAB+∆OBA=180°

120+2∆OAB=180°

∆OAB=30°

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