Tangents to circles: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A circle has centre \(\displaystyle C=\)\(\left( 21, \ 2\right)\) and squared radius \(\displaystyle 25. P=\)\(\left( 25, \ 5\right)\) is a contact point. Here \(\displaystyle h=21\).
Find the tangent gradient.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Tangents to circles: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A circle has centre \(\displaystyle C=\)\(\left( 22, \ 3\right)\) and squared radius \(\displaystyle 20. P=\)\(\left( 24, \ 7\right)\) is a contact point. Here \(\displaystyle h=22\).
Find the tangent gradient.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Tangents to circles: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A circle has centre \(\displaystyle C=\)\(\left( 22, \ 3\right)\) and squared radius \(\displaystyle 20. P=\)\(\left( 24, \ 7\right)\) is a contact point. Here \(\displaystyle h=22\).
Find its y-intercept.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Tangents to circles: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A circle has centre \(\displaystyle C=\)\(\left( 23, \ 4\right)\) and squared radius \(\displaystyle 34. P=\)\(\left( 26, \ 9\right)\) is a contact point. Here \(\displaystyle h=23\).
Find its y-intercept.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Tangents to circles: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A circle has centre \(\displaystyle C=\)\(\left( 23, \ 4\right)\) and squared radius \(\displaystyle 34. P=\)\(\left( 26, \ 9\right)\) is a contact point. Here \(\displaystyle h=23\).
Find the squared radius.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Tangents to circles: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A circle has centre \(\displaystyle C=\)\(\left( 24, \ 5\right)\) and squared radius \(\displaystyle 52. P=\)\(\left( 28, \ 11\right)\) is a contact point. Here \(\displaystyle h=24\).
Find the squared radius.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Tangents to circles: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A circle has centre \(\displaystyle C=\)\(\left( 24, \ 5\right)\) and squared radius \(\displaystyle 52. P=\)\(\left( 28, \ 11\right)\) is a contact point. Here \(\displaystyle h=24\).
Find the tangent height at \(\displaystyle x=h\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Tangents to circles: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A circle has centre \(\displaystyle C=\)\(\left( 25, \ 2\right)\) and squared radius \(\displaystyle 13. P=\)\(\left( 27, \ 5\right)\) is a contact point. Here \(\displaystyle h=25\).
Find the tangent height at \(\displaystyle x=h\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.