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1.7.19 Parametric and implicit differentiation (A-level only)

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Question 7

A curve has the equation 3x2+xy+y2=203x^2 + xy + y^2 = 203x2+xy+y2=20

The gradient of the tangent to the curve is 43\displaystyle \frac{4}{3}34​ at the points P P\,P and QQQ.

a.

Show that 2x+y=02x + y = 02x+y=0 at P P\,P and QQQ.

[6]
b.

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

[3]

1.7.19 Parametric and implicit differentiation (A-level only) Questions

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