🛠️ JEE➗ Maths

Let \(f(x)=\frac{\sin x+\cos x-\sqrt{2}}{\sin x-\cos x}, x \in[0, \pi]-\left\{\frac{\pi}{4}\right\}\). Then \(f\left(\fr…

Q1

Let \(f(x)=\frac{\sin x+\cos x-\sqrt{2}}{\sin x-\cos x}, x \in[0, \pi]-\left\{\frac{\pi}{4}\right\}\). Then \(f\left(\frac{7 \pi}{12}\right) f^{\prime \prime}\left(\frac{7 \pi}{12}\right)\) is equal to

[JEE Main 2023, 8 Apr (Shift 1)]

a

\(
\frac{2}{9}
\)

b

\(
\frac{-2}{3}
\)

c

\(
\frac{-1}{3 \sqrt{3}}
\)

d

\(
\frac{2}{3 \sqrt{3}}
\)

🔒
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