SSC MTS practice question
In triangle ABC, D is a point on AB and E is a point on AC such that DE is parallel to BC. If AD = 9, AE = 6 and EC = 10, find the length of DB.
From a SSC MTS Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (B) 15 units
Since DE || BC, by the Basic Proportionality Theorem, AD/DB = AE/EC, so DB = (AD × EC)/AE = (9 × 10)/6 = 15 units.
हिंदी में प्रश्न
त्रिभुज ABC में, D भुजा AB पर तथा E भुजा AC पर इस प्रकार स्थित हैं कि DE, BC के समांतर है। यदि AD = 9, AE = 6 और EC = 10 है, तो DB की लंबाई ज्ञात कीजिए।
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सही उत्तर: (B) 15 इकाई
चूँकि DE || BC है, आधारभूत समानुपातिकता प्रमेय से AD/DB = AE/EC, अतः DB = (AD × EC)/AE = (9 × 10)/6 = 15 इकाई।
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