In a $\Delta \,ABC$, angles $A,\,\,B,\,\,C$ are in A.P., then $\mathop {\lim }\limits_{A \to C} \,\,\frac{{\sqrt {3 - 4\,\,\sin \,\,A\,\,\sin C} }}{{\left| {\,A - C\,} \right|}}$ is equal to

JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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Analyzing +4 | -1

In a

\Delta \,ABC

, angles

A,\,\,B,\,\,C

are in A.P., then

\lim\limits_{A \to C} \,\,\frac{{\sqrt {3 - 4\,\,\sin \,\,A\,\,\sin C} }}{{\left| {\,A - C\,} \right|}}

is equal to

View answer and explanation

Correct option: A

\mathrm{1}

Option A (1) is correct because after applying the A.P. condition and trigonometric identities, the limit simplifies to 1.

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