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Circles — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsCircles1 Mark
MCQ
In the given figure, the length of $BC$ is :
  • A
    $7\ cm$
  • ✓
    $10\ cm$
  • C
    $14\ cm$
  • D
    $15\ cm$
✓

Answer

Correct option: B.
$10\ cm$
We know that tangent from an external point to a circle are equal.
So,
$AF = AE = 4\ cm$
$\Rightarrow EC = AC - AE $
$= 11 - 4 = 7\ cm$
Now,
$CD = CE = 7\ cm$
and $BF = BD = 3\ cm$
$BD = BD + CD$
$\Rightarrow BD = 3 + 7$
$\Rightarrow BD = 10\ cm$

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