Problem

Problem

Match the following :
Column IColumn II
(A) The maximum value attained by y=10−x−10y = 10 - x - 10 , −1≤x≤3-1 \le x \le 3 is(p) 3
(B) If P(t2,2t)P(t^2, 2t) , t∈[0,2]t \in [0, 2] is an arbitrary point on parabola y2=4xy^2 = 4x , QQ is foot of perpendicular from focus SS on the tangent at PP , then maximum area of ΔPQS\Delta PQS is(q) 13\frac{1}{3}
(C) If a+b=1a + b = 1 , a,b>0a, b > 0 , then maximum value of (1+1a)(1+1b)\sqrt{\left(1 + \frac{1}{a}\right)\left(1 + \frac{1}{b}\right)} is(r) 5
(D) For real values of xx , the greatest and least value of expression x+22x2+3x+6\frac{x+2}{2x^2+3x+6} is(s) −113-\frac{1}{13}

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