Two parallel chords: distances from the centre by Pythagoras (gap between chords or radius)
This type of question, asked 5 times: CDS 1 2017, CDS 2 2017, CDS 2 2019, CDS 2 2023, CDS 1 2026. All 5 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 1 2017
81Two parallel chords of a circle whose diameter is 13 cm are respectively 5 cm and 12 cm in length. If both the chords are on the same side of the diameter, then the distance between these chords isTap an option to check your answer.
Question 2
CDS 2 2017
63AB and CD are parallel chords of a circle 3 cm apart. If AB = 4 cm, CD = 10 cm, then what is the radius of the circle ?Tap an option to check your answer.
Question 3
CDS 2 2019
74If the lengths of two parallel chords in a circle of radius 10 cm are 12 cm and 16 cm, then what is the distance between these two chords ?Tap an option to check your answer.
Question 4 (case study, 2 parts)
CDS 2 2023
Two parallel chords AB and CD of a circle are of lengths 60 cm and 80 cm respectively. They are on the same side of the centre O and 10 cm apart.35What is the diameter of the circle ?Tap an option to check your answer.
36If the chord AB subtends an angle and chord CD subtends an angle at the centre O, then what is the value of ?Tap an option to check your answer.
Question 5
CDS 1 2026
65Let O be the centre of a circle. Let the chords AB = 10 cm and CD = 24 cm be two parallel chords of the circle. The two chords are on opposite side of the centre and the distance between them is 17 cm. Let P be the midpoint of AB and Q be the midpoint of CD. Further, the points O and A, the points O and C, the points A and C are joined. Which of the statements given below is/are correct ? I. Area of triangle OAP is equal to area of triangle OCQ. II. Area of triangle OAC is equal to . Select the answer using the code given below :Tap an option to check your answer.