Day 223: NDA Maths

5 questions. Try each one first, then open its answer.

Question 1
Quadratic Equations. Asked once: NDA 2 2017 (same type asked 4 times)
12 $|x-3|^2 + |x-3| - 2 = 0$
Tap an option to check your answer.
Question 2
Definite Integration. Asked once: NDA 2 2018 (same type asked 3 times)
85 $\int_{-1}^{1}\left\{\frac{d}{dx}\left(\tan^{-1}\frac{1}{x}\right)\right\}dx$
Tap an option to check your answer.
Question 3
Differentiation. Asked once: NDA 1 2021 (same type asked 3 times)
84 $f(x)=e^{|x|}$
Tap an option to check your answer.
Question 4
Trigonometric Identities. Asked once: NDA 1 2021 (same type asked 3 times)
17 $\csc\left(\frac{7\pi}{6}\right)\sec\left(\frac{5\pi}{3}\right)$
Tap an option to check your answer.
Question 5
Probability. Asked once: NDA 2 2019 (same type asked 3 times)
112 $If 5 of a Company's 10 delivery trucks do not meet emission standards and 3 of them are chosen for inspection, then what is the probability that none of the trucks chosen will meet emission standards ?$
Tap an option to check your answer.

Question 1