Number of common tangents for a given position of circles
This type of question, asked 6 times: 19 Jul 2023 S3, 15 Sep 2025 S2, 16 Sep 2025 S1, 16 Sep 2025 S2, 17 Sep 2025 S2, 23 Sep 2025 S1. All 6 questions below, oldest first.
Try each one first, then open its answer.
Question 1
19 Jul 2023 S3
56What is the number of common tangents that can be drawn to two circles that touch each other externally?Tap an option to check your answer.
Question 2
15 Sep 2025 S2
72If two circles are touching internally how many common tangents do they have?Tap an option to check your answer.
Question 3
16 Sep 2025 S1
72Two circles intersect at two points. Which of the following statements is true?Tap an option to check your answer.
Question 4
16 Sep 2025 S2
72Three non-overlapping, non-touching circles are drawn in a plane. What is the maximum number of distinct common tangents that can be drawn to them in total?Tap an option to check your answer.
Question 5
17 Sep 2025 S2
71Two circles with radii 6 cm and 2 cm have their centers 10 cm apart. How many common tangents can be drawn between them, and what type(s) of tangents are they?Tap an option to check your answer.
Question 6
23 Sep 2025 S1
71What is the minimum distance between centers of two circles having radii 5 cm and 3 cm such that exactly three common tangents exist?Tap an option to check your answer.