Q. 1 D4.3( 7 Votes )

Choose the correct answer and give justification for each.

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80o, then POA is equal to

A. 50o

B. 60o

C. 70o

D. 80o

Answer :

We know that tangent to a circle makes right angle with radius.

A = B = 90° and P = 80°

Sum of all angles of quadrilateral = 180°

A + B + P + O = 360°

90° + 90° + 80° + O = 360°

∠O = 100°

∠ AOP = ∠ BOP

∴ ∠POA = 50°

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