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Aptitude · Q64

Geometry

Competitive Exams · Aptitude · question 64

Q64

Two tangents AP and AQ are drawn to a circle with centre O from an external point A, where P and Q are points on the circle. If AP = 12 cm and ∠PAQ = 60°, then the length of chord PQ is:

A.
12 cm
Answer
B.
10 cm
C.
24 cm
D.
16 cm

Answer: Option A

Solution

Answer: Option A
Solution:
Geometry mcq question image
In ΔAPO
Geometry mcq question image
2 unit → 12
1 unit → 6
PT = 6
PQ = 2 × PT = 2 × 6 = 12 cm