Question Library
Browse our collection of questions across various subjects
Mathematics
Easy
View
A solution of the differential equation (dy/dx)² – x(dy/dx) = 0 is
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
For what value of m < 0 is the area bounded by the lines y = x, y = mx,…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
What is the derivative of sin²x with respect to cos²x?
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Consider the following statements: 1.f(x) = ln x is increasing in (0, ∞) 2.g(x) = e^x + e^(1/x) is decreasing…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Letf(x) = x + 6, for x ≤ 1f(x) = px + q, for 1 < x < 2f(x) =…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Letf(x) = x + 6, for x ≤ 1f(x) = px + q, for 1 < x < 2f(x) =…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let f(x) = |ln x|, x ≠ 1. What is the derivative of f(f(x)), where 1 < x < 2?
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let f(x) = |ln x|, x ≠ 1. What is the derivative of f(x) at x = 2?
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let f(x) = |ln x|, x ≠ 1. What is the derivative of f(x) at x = 0.5?
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let I = ∫a to b (|x| / x) dx, a < b What is I equal to when a…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let I = ∫a to b (|x| / x) dx, a < b. What is I equal to when a…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let I1=∫0π x/1 + cos^2x dx and I2=∫0π 1/1 +sin^2x dx What is the value of I2?
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let I1=∫0π x/1 + cos^2x dx and I2=∫0π 1/1 +sin^2x dx What is the value of 8I₁?
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let I1=∫0π x/1 + cos^2x dx and I2=∫0π 1/1 +sin^2x dx What is the value of I1+I2/I1−I2 ?
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let f(x) = sin[πx] + cos[-πx] where [.] is a greatest integer function What is f(π/4) equal to?
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let f(x) = sin[πx] + cos[-πx] where [.] is a greatest integer function What is f(π/2) equal to?
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let f(x) = | cos x x^2 2x | | 2sin x x 1 | | tan x x 1…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let f(x) = | cos x x^2 2x | | 2sin x x 1 | | tan x x 1…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let f(x) = | cos x x^2 2x | | 2sin x x 1 | | tan x x 1…
NDA Mathematics 2023
NDA 2023