Circle touching one axis at a given point and cutting a given intercept on the other
This type of question, asked 3 times: 2021 Paper 17, 28 Jan 2025, 6 Apr 2026 S2. All 3 questions below, oldest first.
Try each one first, then open its answer.
Question 1
2021 Paper 17
77Consider a circle which touches the -axis at and cuts off an intercept on the x-axis. Then the radius of the circle is equal to:Tap an option to check your answer.
Question 2
28 Jan 2025
58Let the equation of the circle, which touches -axis at the point and cuts off an intercept of length on -axis be . If the circle lies below x-axis, then the ordered pair is equal to :Tap an option to check your answer.
Question 3
6 Apr 2026 S2
60Let C be a circle having centre in the first quadrant and touching the x -axis at a distance 3 units from the origin. If the circle C has an intercept of length on -axis, then the length of the chord of the circle on the line is :Tap an option to check your answer.