Question Library
Browse our collection of questions across various subjects
Mathematics
Easy
View
Consider the following in respect of the equationx²/(24 – k) + y²/(k – 16) = 2. 1. The equation represents…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
If 3x + y – 5 = 0 is the equation of a chord of the circle x² + y²…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Given that 16p² + 49q² – 4r² – 56pq = 0.Which one of the following is a point on a…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
The points (–a, –b), (0, 0), (a, b) and (a², ab) are:
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
What is the equation of directrix of parabolay² = 4bx, where b < 0 and b² + b – 2…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
The angles A, B and C of a triangle ABC are in the ratio 3 : 5 : 4. What…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
The angles A, B and C of a triangle ABC are in the ratio 3 : 5 : 4. What…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let sin x + sin y = √3 (cos y – cos x); x + y = π/20 < x,…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let sin x + sin y = √3 (cos y – cos x); x + y = π/20 < x,…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let p = (1/3) × (tan 3x / tan x)q = 1 – 3 tan²x, 0 < x < π,…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let p = (1/3) × (tan 3x / tan x)q = 1 – 3 tan²x, 0 < x < π,…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let p = cos(π/5) × cos(2π/5) and q = cos(4π/5) × cos(8π/5) What is the value of pq?
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let p = cos(π/5) × cos(2π/5) and q = cos(4π/5) × cos(8π/5) What is the value of p + q?
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let a₁, a₂, a₃ … be in AP such thata₁ + a₅ + a₁₀ + a₁₅ + a₂₀ + a₂₅…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
Let a₁, a₂, a₃ … be in AP such thata₁ + a₅ + a₁₀ + a₁₅ + a₂₀ + a₂₅…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
What is the differential equation of all parabolas of the type y² = 4a(x − b) ?
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
What are the order and the degree respectively of the differential equation x² (d³y/dx³)² + (dy/dx)^4 + sin x =…
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
What is the area between the curve f(x) = |x| and x-axis for x ∈ [−1, 1] ?
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
View
If f′(x) = cos(ln x) and y = f( (2x − 3)/x ), then what is dy/dx equal to ?
NDA Mathematics 2023
NDA 2023