<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Find the equations of the tangent to the curve \(y=x^2\) at the point \((t, t^2)\), expressing the coefficients in terms of \(t\) where necessary.</span><span class="inline-marks">[3]</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find the equations of all lines that are tangents to both the curves \(y=x^2\) and \(y=-x^2+8x-16\).</span><span class="inline-marks">[4]</span></div></li></ol>

Find the equations of the tangent to the curve \(y=x^2\) at the point \((t, t^2)\), expressing the coefficients in terms of \(t\) where necessary.

Find the equations of all lines that are tangents to both the curves \(y=x^2\) and \(y=-x^2+8x-16\).

NJC IP4 Tangents and Normals Tutorial Q3

NJC IP4 Tangents and Normals Tutorial Q3

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