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Mathematics - Determinant Question with Solution | TestHub

MathematicsDeterminantApplication of det. In geometryMedium2 minQB

MathematicsMediumsingle choice

In $△ A BC$ , $∠ A = 12 0^{\circ}$ , $A C = 3$ , and the determinant

$111 tan A tan B tan C tan 2 A tan 2 B tan 2 C = 0$

Find its area.

Options:

Answer:

Solution:

The determinant forces two angles equal. Only $B = C$ is possible, so $A B = A C = 3$ . Area $= \frac{1}{2} (3) (3) sin 12 0^{\circ} = \frac{9 3}{4}$ .

Stream:JEESubject:MathematicsTopic:DeterminantSubtopic:Application of det. In geometry

⏱ 2mℹ️ Source: QB

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