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Nabla Tuition TMUA Paper 1 · Q15

Paper 1Geometry

The tangent to the curve

y=1x,x>0,y=\frac1x,\qquad x>0,

at the point whose xx-coordinate is tt meets the positive coordinate axes at AA and BB.

What is the least possible value of OA+OBOA+OB?

A22
B222\sqrt2
C33
D44
E424\sqrt2

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