Line–circle intersections and chords: check 1
Difficulty: ★★☆Maths4U Original · Short practice
The circle is \(\left(x - 22\right)^{2} + \left(y - 3\right)^{2} = 100\) and the line is y=9.
Find the smaller intersection x-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Line–circle intersections and chords: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
The circle is \(\left(x - 23\right)^{2} + \left(y - 4\right)^{2} = 225\) and the line is y=13.
Find the smaller intersection x-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Line–circle intersections and chords: check 2
Difficulty: ★★☆Maths4U Original · Short practice
The circle is \(\left(x - 23\right)^{2} + \left(y - 4\right)^{2} = 225\) and the line is y=13.
Find the larger intersection x-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Line–circle intersections and chords: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
The circle is \(\left(x - 24\right)^{2} + \left(y - 5\right)^{2} = 400\) and the line is y=17.
Find the larger intersection x-coordinate.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Line–circle intersections and chords: check 3
Difficulty: ★★☆Maths4U Original · Short practice
The circle is \(\left(x - 24\right)^{2} + \left(y - 5\right)^{2} = 400\) and the line is y=17.
Find the chord length.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Line–circle intersections and chords: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
The circle is \(\left(x - 25\right)^{2} + \left(y - 6\right)^{2} = 25\) and the line is y=9.
Find the chord length.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Line–circle intersections and chords: check 4
Difficulty: ★★☆Maths4U Original · Short practice
The circle is \(\left(x - 25\right)^{2} + \left(y - 6\right)^{2} = 25\) and the line is y=9.
Find the common y-coordinate of the intersections.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Line–circle intersections and chords: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
The circle is \(\left(x - 26\right)^{2} + \left(y - 2\right)^{2} = 100\) and the line is y=8.
Find the common y-coordinate of the intersections.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.