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Circles
NCERT Exemplar
CBSE
Grade 10
Question:
A quadrilateral $ABCD$ is drawn to circumscribe a circle. If $AB = 6\text{ cm}, BC = 7\text{ cm}, CD = 4\text{ cm}$, then $AD$ is equal to: (a) $3\text{ cm}$ (b) $4\text{ cm}$ (c) $5\text{ cm}$ (d) $6\text{ cm}$
Step-by-Step Solution
Key Concept: For a circumscribed quadrilateral, $AB + CD = AD + BC$.
$6 + 4 = AD + 7 \Rightarrow 10 = AD + 7 \Rightarrow AD = 3\text{ cm}$. [1.0 Mark]
--- 🎯 Official CBSE Marking Scheme: Applying $AB + CD = AD + BC \Rightarrow AD = 3\text{ cm}$: 1.0 Mark
Correct Answer:$3\text{ cm}$
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