🛠️ JEE➗ Maths

If \(\alpha\) is the positive root of the equation, \(p(x)={x}^{2}-x-2=0\) then \(\lim _{x\to {\alpha }^{+}}\frac{\sqrt{…

Q1

If \(\alpha\) is the positive root of the equation, \(p(x)={x}^{2}-x-2=0\) then \(\lim _{x\to {\alpha }^{+}}\frac{\sqrt{1-\cos (p(x))}}{x+\alpha -4}\) is equal to.

[JEE Main 2020, 5 Sep (Shift 1)]

a

\(\frac{1}{\sqrt{2}}\)

b

\(\frac{1}{2}\)

c

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

d

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

🔒
Answer & explanation — PYQ Pass

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

Unlock · ₹149

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 →