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Aptitude · Q196

Geometry

Competitive Exams · Aptitude · question 196

Q196

In the given figure, AB, AC and EF are tangents to a circle. If AC = 15 and DE = 3 cm. Then the length of AE is:

In the given figure, AB, AC and EF are tangents to a circle. If AC = 15 and DE = 3 cm. Then the length of AE is:
Geometry mcq question image
A.
24 cm
B.
9 cm
C.
18 cm
D.
12 cm
Answer

Answer: Option D

Solution

Answer: Option D
Solution:
DE = EB = 3 cm (tangent at same point)
AE + EB = AB = AC (tangent at same point)
AE + 3 = 15
AE = 12 cm