Question

In the above figure, ae 2, ce 3, and de 4. What is the length of be

Answer 1

AE=2

CE=3

DE=4

BE=?

AExBE = DExCE

2xBE = 4x3

2xBE = 12

BE = 12/2

BE=6

The answer is 6

Answer 2

a
2) right bottom [tangents drawn to a circle from the same point are equal in length]
3) a
4) b
[Triangles AEC and DEB are similar triangles. So corresponding sides are proportional. So, AE/DE = CE/BE.]
5) c
6) a
7) c
8) b
9) a
10) c
11) d
12) a
13) d
14) a
15) b
16) c
17) c

Tell if you need logic behind some other answers too. Specify the questions.