Match each result to all applicable values. Here [t] is the greatest integer not exceeding t. List I List II (A) Area enclosed by max{|x|,|y|}=1/2 (P) 0 (B) Possible [|a|] if (a,a) is strictly between

Question

Match each result to all applicable values. Here [t] is the greatest integer not exceeding t.

List I	List II
(A) Area enclosed by max{\|x\|,\|y\|}=1/2	(P) 0
(B) Possible [\|a\|] if (a,a) is strictly between x+y=-6 and x+y=6	(Q) 1
(C) Number of nonzero integers b for which (0,0) and (1,1) are on the same side of a²x+aby+1=0 for every real a≠0	(R) 2
(D) Possible [α] if (α,α²) lies strictly inside the triangle bounded by 2x+3y-1=0, x+2y-3=0, 5x-6y-1=0	(S) -2

TestHub · Accepted Answer

(A) The enclosed square has side 1. (B) − 3 < a < 3 , so [ ∣ a ∣ ] ∈ { 0 , 1 , 2 } . (C) a 2 + ab + 1 > 0 for all nonzero a requires − 2 < b < 2 ; nonzero integral values are − 1 , 1 . (D) Substitution y = x 2 into the three side inequalities locates the interior intervals α ∈ ( − 3/2 , − 1 ) ∪ ( 1/2 , 1 ) , giving floors -2, 0.

Mathematics - Straight Lines Question with Solution | TestHub

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