The perpendicular distance between the centre of a circle and the longest chord of that circle is _______.

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SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 3)
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  1. 1
  2. 0
  3. 2
  4. π 

Answer (Detailed Solution Below)

Option 2 : 0
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Detailed Solution

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Given:

The figure for which the distance is to be calculated is circle.

Concept Used:

The longest chord of circle is diameter.

Explanation:

Let us take a circle with AB as diameter and O as its center.
F2 Madhuri SSC 16.03.2023 D1

 

 

 

 

 

 

Here, AB is the longest chord. This can also be understood by drawing multiples chords, everytime diamter will come out to be the longest chord.

F2 Madhuri SSC 16.03.2023 D2

Now, as the diameter is the longest chord and it passes through center. So, perpendicular distance between center and longest chord will be 0.

 ∴ The perpendicular distance between the center of a circle and the longest chord of that circle is 0.

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