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1.10.5 Implicit and parametric differentiation (A-level only)

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Question 10

A curve has the equation $x^2 - xy + y^2 = 12$

The gradient of the tangent to the curve is 1 at the points $P\,$ and $Q$ .

Show that $x + y = 0$ at $P\,$ and $Q$ .

[6]

Find the coordinates of $P\,$ and $Q$ .

[3]

Markscheme

1.10.5 Implicit and parametric differentiation (A-level only) Questions

A Level
Maths
1.10.5 Implicit and parametric differentiation (A-level only)

82 exam-style questions on AQA A Level Maths 1.10.5 Implicit and parametric differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

1.10.5 Implicit and parametric differentiation (A-level only)

Question bank

1.10.5 Implicit and parametric differentiation (A-level only)

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Question 10

A curve has the equation $x^2 - xy + y^2 = 12$

The gradient of the tangent to the curve is 1 at the points $P\,$ and $Q$ .

Show that $x + y = 0$ at $P\,$ and $Q$ .

[6]

Find the coordinates of $P\,$ and $Q$ .

[3]

Markscheme

1.10.5 Implicit and parametric differentiation (A-level only) Questions

A Level
Maths
1.10.5 Implicit and parametric differentiation (A-level only)

82 exam-style questions on AQA A Level Maths 1.10.5 Implicit and parametric differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.