The curve $C\,$ is obtained by translating the graph of $y=x^2$ by the vector $(2−1)\begin{pmatrix}2\\-1\end{pmatrix}$ .

Write down the equation of $C$ .

The line $l\,$ has equation $y = k x$ , where $k\,$ is a constant. Determine the two values of $k\,$ for which $l\,$ is a tangent to $C$ .

For each value of $k$ , find the coordinates of the point of contact.

In this question you must show detailed reasoning.

The curve $C\,$ is obtained by translating the graph of $y=x^2$ by the vector $(2−1)\begin{pmatrix}2\\-1\end{pmatrix}$ .

Write down the equation of $C$ .

The line $l\,$ has equation $y = k x$ , where $k\,$ is a constant. Determine the two values of $k\,$ for which $l\,$ is a tangent to $C$ .

For each value of $k$ , find the coordinates of the point of contact.

In this question you must show detailed reasoning.

1 Pure Mathematics

1 Pure Mathematics Questions