Question Library
Browse our collection of questions across various subjects
Mathematics
Easy
View
What islim (x → 1) [(x + x² + x³ − 3)/(x − 1)] equal to?
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
If the vectors a̅ = 2î − 3ĵ + k̂,b̅ = î + 2ĵ − 3k̂ andc̅ = −ĵ +…
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
If a̅ × b̅ |² + a̅ · b̅ |² = 144 and |a̅| = 4, then what is |b̅|…
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
Two adjacent sides of a parallelogram are2î − 4ĵ + 5k̂ and î − 2ĵ − 3k̂. What is the…
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
Let A be a point in space such that |OA̅| = 12, where O is the origin. If OA̅ is…
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
If  is a unit vector in the xy-plane making an angle 30° with the positive x-axis, then what is…
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
What is the equation of the plane which cuts an intercept 5 units on the z-axis and is parallel to…
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
Into how many compartments do the coordinate planes divide the space?
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
If a line has direction ratios < a + b, b + c, c + a >, then what is…
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
What is the perpendicular distance from the point (2, 3, 4) to the line(x − 0)/1 = (y − 0)/0…
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
What is the length of the diameter of the sphere whose centre is at (1, −2, 3) and which touches…
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
If 3x − 4y − 5 = 0 and 3x − 4y + 15 = 0 are the equations of…
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
What is the obtuse angle between the lines whose slopes are 2 − √3 and 2 + √3?
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
If the foot of the perpendicular drawn from the point (0, k) to the line 3x − 4y − 5…
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
Let ABC be a triangle. If D(2, 5) and E(5, 9) are the mid-points of the sides AB and AC…
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
Under which condition, are the points (a, b), (c, d) and (a − c, b − d) collinear?
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
In the parabola, y² = x, what is the length of the chord passing through the vertex and inclined to…
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
If the circumference of the triangle formed by the lines x + 2 = 0, y + 2 = 0…
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
Let P(x, y) be any point on the ellipse 25x² + 16y² = 400. If Q(0, 3) and R(0, −3)…
NDA Mathematics 2020
NDA 2020
Mathematics
Easy
View
The point (1, −1) is one of the vertices of a square. If 3x + 2y = 5 is the…
NDA Mathematics 2020
NDA 2020