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Mathematics - Trigonometric Ratios & Identities Question with Solution | TestHub

MathematicsTrigonometric Ratios & IdentitiesMiscellaneous/MixedMedium2 minQB

MathematicsMediumsingle choice

In a triangle ABC, if angle C is obtuse and angles A and B are given by the roots of the equation $tan^{2} x + p tan x + q = 0$ , then the value of $q$ is

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Answer:

Solution:

$A + B = π - C \Rightarrow tan (A + B) = - tan C > 0$ , so $\frac{t a n A + t a n B}{1 - t a n A t a n B} > 0$ with $tan A, tan B > 0$ . Hence $tan A tan B < 1$ , i.e. $q < 1$ .

Stream:JEESubject:MathematicsTopic:Trigonometric Ratios & IdentitiesSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

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