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OxbridgeMind TMUA Paper 2 · Q12

Paper 2Geometry

A line is drawn normal to the curve y=3x2y=\dfrac3{x^2} at the point on the curve where x=1x=1. This line cuts the xx-axis at PP and the yy-axis at QQ. The area of triangle OPQOPQ where OO is the origin is:

A24312\frac{243}{12}
B28912\frac{289}{12}
C2896\frac{289}6
D28924\frac{289}{24}
E2436\frac{243}6

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