AQA AS Paper 1 2022 June — Question 10

Exam BoardAQA
ModuleAS Paper 1 (AS Paper 1)
Year2022
SessionJune
TopicDifferentiation Applications
TypeFind tangent line equation

10 Curve \(C\) has equation \(y = \frac { \sqrt { 2 } } { x ^ { 2 } }\)
10
  1. Find an equation of the tangent to \(C\) at the point \(\left( 2 , \frac { \sqrt { 2 } } { 4 } \right)\)
    10
  2. Show that the tangent to \(C\) at the point \(\left( 2 , \frac { \sqrt { 2 } } { 4 } \right)\) is also a normal to the curve at a different point.
    \includegraphics[max width=\textwidth, alt={}, center]{46d846f7-dbc6-4fd5-8e1f-bcc50cad3418-16_588_978_1969_532}