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Other Graphs: Quiz 6

Other Graphs: Quiz 6

You may use a calculator for all of the questions in this quiz.

1) A circle has a centre at the origin and it passes through the point (-2, 4). What is the equation for the tangent to the circle at the point (-2, 4)? Give your answer in the form

There is a sketch of the graph below to help you answer this question.

1) A circle has a centre at the origin and it passes through the point (-2, 4). What is the equation for the tangent to the circle at the point (-2, 4)? Give your answer in the form

*y*= m*x*+ c (the values for m and c may not be integers).There is a sketch of the graph below to help you answer this question.

2) A circle has a centre at the origin and it passes through the point (4, 12).

a) Sketch the circle and label the point (4, 12). Also, draw a tangent to the circle at the point (4, 12).

b) Find the equation for the tangent to the circle at the point (4, 12)? Give your answer in the form

3) A circle has a centre at the origin and it passes through the point (-3, -7).

a) Sketch the circle and label the point (-3, -7). Also, draw a tangent to the circle at the point (-3, -7).

b) Find the equation for the tangent to the circle at the point (-3, -7)? Give your answer in the form

a) Sketch the circle and label the point (4, 12). Also, draw a tangent to the circle at the point (4, 12).

b) Find the equation for the tangent to the circle at the point (4, 12)? Give your answer in the form

*y*= m*x*+ c (the values for m and c may not be integers).3) A circle has a centre at the origin and it passes through the point (-3, -7).

a) Sketch the circle and label the point (-3, -7). Also, draw a tangent to the circle at the point (-3, -7).

b) Find the equation for the tangent to the circle at the point (-3, -7)? Give your answer in the form

*y*= m*x*+ c (the values for m and c may not be integers).