Tangents to circles · Short practice

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Recall

Tangents to circles — objective 1

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.

Fresh review variant

Tangents to circles — objective 1

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.

Method

Tangents to circles — objective 2

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.

Fresh review variant

Tangents to circles — objective 2

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.

Apply

Tangents to circles — objective 3

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.

Fresh review variant

Tangents to circles — objective 3

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.

Check understanding

Tangents to circles — objective 4

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.

Fresh review variant

Tangents to circles — objective 4

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.

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