Perpendicular from the Centre to a Chord MCQs
Practice Perpendicular from the Centre to a Chord multiple-choice questions from Circles (Class 9 Maths) - tap an answer for instant feedback and a step-by-step solution. Practice the full set free on the RankByte app.
Perpendicular from the Centre to a ChordQuiz - Solve & Score
Q1. A chord 16 cm long lies 6 cm from the centre of a circle of radius 10 cm. If this chord is slid parallel to itself until it passes through the centre, by how many cm does its length increase?
- A.4 cm
- B.20 cm
- C.6 cm
- D.16 cm
Answer: A. 4 cm
Q2. A chord 24 cm long lies 5 cm from the centre of a circle of radius 13 cm. If this chord is slid parallel to itself until it passes through the centre, by how many cm does its length increase?
- A.2 cm
- B.26 cm
- C.5 cm
- D.24 cm
Answer: A. 2 cm
Q3. A chord 30 cm long lies 8 cm from the centre of a circle of radius 17 cm. If this chord is slid parallel to itself until it passes through the centre, by how many cm does its length increase?
- A.4 cm
- B.34 cm
- C.8 cm
- D.30 cm
Answer: A. 4 cm
Given 30 cm, 8 cm, 17 cm, asked for how many cm does its length increase?. By Through the centre the chord becomes the diameter 2×.17 = 34. Through the centre the chord becomes the diameter 2×.17 = 34 → old chord = 30 → increase = 34 - 30 = 4 cm. Therefore option A) 4 cm. Others fail: option B) '34 cm' is wrong because 34 cm is the new (diameter) length; the INCREASE is that minus the old chord; option C) '8 cm' misses the point - The gain is diameter - old chord, not the distance moved.
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