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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If a,b,c,da, b, c, d are positive real number such that a+b+c+d=2a+b+c+d=2, then M=(a+b)(c+d)M=(a+b)(c+d) satisfies the relation:
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Correct option: A
0<M≤10 < M \leq 1
Option A ((2n+1)π2(2 n+1) \frac{\pi}{2}) is correct because the product of the matrices is a null matrix when cos⁡(θ−ϕ)=0\cos(\theta - \phi) = 0, which occurs when θ−ϕ\theta - \phi is an odd multiple of π2\frac{\pi}{2}.

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