in a fig PA and pb are the targents form an
Answers
Answer:
the East India Company
In 1600, a group of English businessmen asked Elizabeth I for a royal charter that would let them voyage to the East Indies on behalf of the crown in exchange for a monopoly on trade. The merchants put up nearly 70,000 pounds of their own money to finance the venture, and the East India Company was born.
Answer:
AP is the tangent to the circle.
∴ OA ⊥ AP (Radius is perpendicular to the tangent at the point of contact)
⇒ ∠OAP = 90º
In Δ OAP,
sin ∠OPA = OA/OP = r/2r [Diameter of the circle]
∴ sin ∠OPA = 1/2 = sin 30º
⇒ ∠OPA = 30º
Similarly, it can he prayed that ∠OPB = 30
How, LAPB = LOPP + LOPB = 30° + 30° = 60°
In APPB,
PA = PB [lengths &tangents drawn from an external point to circle are equal]
⇒ ∠PAB = ∠PBA --- (1) [Equal sides have equal angles apposite to them]
∠PAB + ∠PBA + ∠APB = 180° [Angle sum property]
∠PAB + ∠PBA + ∠APB = 180° - 60° [Using (1)]
⇒ 2∠PAB = 120°
⇒ ∠PAB = 60°
From (1) and (2)
∠PAB = ∠PBA = ∠APB = 60°
APPB is an equilateral triangle.