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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

1 Easy
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Application +4 | -1
If sec θ  + tan θ=1\mathrm{sec}\,\mathrm{\theta \; + }\,\mathrm{tan}\,\mathrm{\theta } = 1, then root of the equation (a−2b+c)x2  +  (b−2c+a)x  +  (c−2a+b)=0\left( {a - 2b + c} \right){x^2}\,\, + \,\,\left( {b - 2c + a} \right)x\,\, + \,\,\left( {c - 2a + b} \right) = 0 is
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Correct option: A
sec⁡  θ\sec \,\,\mathrm{\theta }
Option A (sec⁡θ\sec \theta) is correct because one root of the quadratic equation is 1, and given the condition sec⁡θ+tan⁡θ=1\sec \theta + \tan \theta = 1, it follows that sec⁡θ=1\sec \theta = 1.

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