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3.5.4 Differentiation (A-level only)

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Question 15

A curve has the equation 2x2+xy+2y2=202x^2 + xy + 2y^2 = 202x2+xy+2y2=20

The gradient of the tangent to the curve is -1 at the points R R\,R and SSS.

a.

Show that x−y=0x - y = 0x−y=0 at R R\,R and SSS.

[6]
b.

Find the coordinates of R R\,R and SSS.

[3]

3.5.4 Differentiation (A-level only) Questions

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