Let f(x) = (sin x + cos x − √2)... |JEE Main 2023

JEE MAIN 2023

8-4-2023 S1

Question

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 -

Select the correct option:

-2/3

2/9

$-\frac{1}{3 \sqrt{3}}$

$\frac{-2}{3 \sqrt{3}}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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