Circles
NCERT Exemplar Ch 09
CBSE_NCERT_EXEMPLAR_CH09
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:
$3\text{ cm}$
$4\text{ cm}$
$5\text{ cm}$
$6\text{ cm}$
Step-by-Step Solution
Key Concept: For a circumscribed quadrilateral, $AB + CD = AD + BC$.
Stepwise Solution:
$6 + 4 = AD + 7 \Rightarrow 10 = AD + 7 \Rightarrow AD = 3\text{ cm}$. [1.0 Mark]
Marking Scheme:
• Applying $AB + CD = AD + BC \Rightarrow AD = 3\text{ cm}$: 1.0 Mark
Correct Answer: $3\text{ cm}$
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