SSC CGL 20 Aug 2021 Shift 1 Paper

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Question : 53 of 100

Marks: +1, -0

In a circle, chords

A B

and

C D

intersect internally at

E

. If

C D=16

{cm}, D E=6 {cm}, A E=12 {cm}

and

B E=x {cm}

, then the value of

x

is

6
17
5
9

Solution:

Given,

C D=16 {cm}, D E=6 {cm}

A E=12 {cm}, E B=x {cm}

Then,

\;\; E C=C D-D E

=16-6=10 {cm}

we know that,

⇒ \;\; A E × E B=C E × E D

⇒ \;\; 12 × x=10 × 6

∴ \;\; x=E B=5 {cm}

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