# The equation of a curve is 5x 2 + 2xy + 2y 2 = 45. a. Given

## Question:

The equation of a curve is 5x^{2} + 2xy + 2y^{2} = 45.

a. Given that there are two points on the curve where the tangent is parallel to the x-axis, show by differentiation that, at these points, y = −5x.

b. Hence find the coordinates of the two points.

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**Related Book For**

## Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

**ISBN:** 9781108407199

1st Edition

**Authors:** Sue Pemberton, Julianne Hughes, Julian Gilbey