YESPYQ Start Practice
JEEMaths

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
PYQ

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

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

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149
← Previous questionNext question →

Practice more JEE Maths PYQs

See every question on Continuity and Differentiability, or browse the full JEE question bank.

See all questions on Continuity and Differentiability →

More JEE Maths PYQs

Maths\(y=[x]+|x-2|\) if number of discontinuous point are " \(p\) " and number of non-different…MathsThe value of \(\lim _{x\to 0}\frac{{\log }_{e}\left(\sec \left(ex\right)⋅\sec \left({e}^{2…MathsThe product of all possible values of \(\alpha\), for which \(\lim _{x\to 0}\left(\frac{1-…MathsLet \(f(x)\) be a continuously differentiable function on the interval \((0,\infty )\) suc…MathsIf \(\lim _{\mathrm{x}\to 0}\frac{\cos (2\mathrm{x})+\mathrm{acos}(4\mathrm{x})-\mathrm{b}…Maths\(y=[x]+|x-2|\) if number of discontinuous point are " \(p\) " and number of non-different…