Multiple choice

Two chords PQ and RS of a circle intersect at D inside a circle. If PD = 8.4 cm, DQ = 2.4 cm, SD = 1.2 cm, the length of RS is equal to / एक वृत्त के अंदर D बिंदु पर दो जिह्वा PQ और RS एक दुसरे को काटते हैं। यदि PD = 8.4 सेमी, DQ = 2.4 सेमी, SD = 1.2 सेमी, RS की लंबाई बराबर है

  1. 18 cm

  2. 11 cm

  3. 16.8 cm

  4. 17 cm

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

By the intersecting chords theorem: PD × DQ = SD × DR. Given PD = 8.4 cm, DQ = 2.4 cm, SD = 1.2 cm. So 8.4 × 2.4 = 1.2 × DR, giving DR = 20.16/1.2 = 16.8 cm. Total RS = SD + DR = 1.2 + 16.8 = 18 cm. Option A is correct.