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Question
The end points of the diameter AB of a circle are A(4, 0) and B(0, –4). The length of the diameter is ______.
Options
3 units
8 units
`sqrt(8)` units
`sqrt(32)` units
MCQ
Fill in the Blanks
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Solution
The end points of the diameter AB of a circle are A(4, 0) and B(0, –4). The length of the diameter is `underlinebb(sqrt(32) units)`.
Explanation:
Use the distance formula (Pythagorean theorem).
Distance AB = `sqrt((4 - 0)^2 + (0 - (-4))^2)`
= `sqrt(4^2 + 4^2)`
= `sqrt(16 + 16)`
= `sqrt(32)`
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