If a,b,c,d>0 with a+b+c+d=2, then M=(a+b)(c+d) satisfies (a) 0≤ M 1 (b) 1≤ M 2 (c) 2≤ M 3 (d) 3≤ M 4

Correct answer: (a) 0≤ M 1 With s=a+b, M=s(2-s) 1 (max at s=1) and M>0, so 0≤ M 1. JEE Advanced 2000 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

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[JEE Advanced 2000] if a b c d 0 with a b c d 2 then m

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If $a,b,c,d>0$ with $a+b+c+d=2$, then $M=(a+b)(c+d)$ satisfies

(a) $0\le M\le1$
(b) $1\le M\le2$
(c) $2\le M\le3$
(d) $3\le M\le4$

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Correct answer: (a) $0\le M\le1$

With $s=a+b$, $M=s(2-s)\le1$ (max at $s=1$) and $M>0$, so $0\le M\le1$.

JEE Advanced 2000 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

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