PYQ Vault
EbooksTutor

Two concentric circles cut by a line: chord lengths and radii

This type of question, asked 5 times: 14 Jul 2023 S1, 18 Jul 2023 S1, 20 Jul 2023 S1, 24 Sep 2024 S2, 24 Sep 2024 S3. All 5 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jul 2023 S1

    58
    Two concentric circles are of radii 10 cm and 6 cm. Find the length of the chord of the larger circle which touches the smaller circle.

    Tap an option to check your answer.

  2. Question 2

    18 Jul 2023 S1

    72
    Two concentric circles of radii 15 cm and 13 cm are given. Find the length of the chord of the larger circle which touches the smaller circle.

    Tap an option to check your answer.

  3. Question 3

    20 Jul 2023 S1

    62
    C1 and C2 are two concentric circles such that the radius of C2 is less than the radius of C1. If AB is the chord of C1 of length 12 cm, touching C2 at P, find the length of AP.

    Tap an option to check your answer.

  4. Question 4

    24 Sep 2024 S2

    57
    The radii of two concentric circles are 26 cm and 10 cm. If the chord of the greater circle is a tangent to the smaller circle, then find the length of that chord.

    Tap an option to check your answer.

  5. Question 5

    24 Sep 2024 S3

    66
    A line cuts two concentric circles. The length of chords formed by this line on the circles is 6 cm and 18 cm. Find the difference in the squares of the radii of two circles.

    Tap an option to check your answer.