UPSC CDS 1 2023 Math Paper

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Question Numbers: 91-93
Consider the following for the next three (03) items that follow :
In the triangle ABC, AB = 6 cm, BC = 8 cm and AC = 10 cm. The perpendicular dropped from B meets the side AC at D. A circle of radius BD (with centre B) cuts AB and BC at P and Q respectively as shown in the figure. 

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Question : 91 of 100
 
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What is the length of QC ? 
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