Three points ,

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Three points O(0,0)O(0,0), P(a,a2)P(a,a^2), and Q(−b,b2)Q(-b,b^2), where a>0a>0 and b>0b>0, lie on the parabola y=x2y=x^2. Let S1S_1 be the area bounded by the line PQPQ and the parabola, and let S2S_2 be the area of △OPQ\triangle OPQ. The minimum value of S1S2\frac{S_1}{S_2} is (1) 43\frac{4}{3} (2) 53\frac{5}{3} (3) 22 (4) 73\frac{7}{3}

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