Five mark example problem II — task. Mathematics State Board, Class 10.

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The line joining the points

$A(0,5)$ and

$B(4,1)$ is a tangent to a circle whose centre

$C$ is at the point

$(4,4)$ . Find

(i) the equation of the line

$AB$ .

(ii) the equation of the line through

$C$ which is perpendicular to the line

$AB$ .

(iii) the coordinates of the point of contact of tangent line

$AB$ with the circle.

Answer:

(i) The equation of the line

$AB$ is .

(ii) The equation of the line through

$C$ which is perpendicular to the line

$AB$ is .

(iii) The coordinates of the point of contact of tangent line

$AB$ with the circle is

$(\frac{i}{i}, \frac{i}{i})$

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15. Five mark example problem II