JJC/2015/Promo/Q6 Application of Differentiation

A curve has equation

3x² – 4xy + 2y² – 2 = 0

(i) Show that 

 

(ii) Find the exact coordinates of the points on the curve where the tangent is parallel to the x-axis.

(iii) The normal of the curve at the point P with coordinates (0,1), meets the curve again at point Q. Find the area of triangle OPQ, where O is the origin. 

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