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1.9.16 Implicit differentiation (A-level only)

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Question 9

A curve has the equation x2−xy+y2=12x^2 - xy + y^2 = 12x2−xy+y2=12

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

a.

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

[6]
b.

Find the coordinates of P P\,P and QQQ.

[3]

1.9.16 Implicit differentiation (A-level only) Questions

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