NDA Mathematics 2018 (II)
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Questions
8 coins are tossed simultaneously. The probability of…
A balloon is directly above one end of…
A flower-bed in the form of a sector…
A function f : A → R is…
A is an angle in the fourth quadrant.…
A spacecraft located at î + 2ĵ +…
A square matrix A is called orthogonal if
A unit vector perpendicular to each of the…
An analysis of monthly wages paid to the…
Consider the following expressions : 1. x +…
Consider the following in respect of matrices A…
Consider the following in respect of matrices A,…
Consider the following statements : 1.The angle between…
Consider the following statements :Statement I : If…
Consider the following statements: 1. The distance between…
Consider the following statements: 1. If 10 is…
Consider the following values of x: 1. 8…
Consider the functionf(x) = { sin 2x /…
Coordinates of the points O, P, Q and…
For a square matrix A, which of the…
A survey was conducted among 300 students. It…
For the function f(x) = |x – 3|,…
If (0.2)^x = 2 and log10 2 =…
A survey was conducted among 300 students. It…
If A = sin^2θ + cos^4θ, then for…
If A and B are two invertible square…
If A+B+C = 180°, then what is sin2A…
If A, B and C are subsets of…
If A, B and C are the angles…
If a + b + c = 0,…
If a, b, c are in AP or…
If an infinite GP has the first term…
If cos α and cos β (0 <…
If f(x) = √(25 – x²), then what…
If r = xi + yj + zk,…
If f(x) = √(x – 1)/(x – 4)…
If sec(θ – α), sec θ and sec(θ…
If sin β is the harmonic mean of…
If the function f(x) = (2x – sin⁻¹x)/(2x…
If |a| = 3, |b| = 4 and…
If the probability of simultaneous occurrence of two…
If the regression coefficient of Y on X…
If the second term of a GP is…
If two dice are thrown and at least…
If u = e^ax sin bx and v…
If u, v and w (all positive) are…
If xi > 0, yi > 0 (i…
If y = sin (ln x), then which…
If y = tan⁻¹((5 – 2tan√x)/(2 + 5tan√x)),…
If y = |sin x| |x|, then what…
If y-axis touches the circlex² + y² +…
If α and β (≠ 0) are the…
If θ = π/8, then what is the…
In a bolt factory, machines X, Y, Z…
In a triangle ABC, if taken in order,…
In any discrete series (when all values are…
In which one of the following cases would…
In which one of the following intervals is…
Let A = {x ∈ R : –1…
Let |a| ≠ 0, |b| ≠ 0.Then a…
Let A, B and C be three mutually…
Let Tᵣ be the rth term of an…
Let a̅, b̅ and c̅ be three mutually…
Let f(x + y) = f(x)f(y) and f(x)…
Let matrix B be the adjoint of a…
Let the coefficient of the middle term of…
Let the slope of the curve y =…
Let x be the number of integers lying…
Suppose f(x) is such a quadratic expression that…
The angle between the two lines lx+my+n=0 and…
The average age of a combined group of…
The correlation coefficient computed from a set of…
The differential equation of the family of curves…
The equation of a circle whose end points…
The equation of the curve passing through the…
The line (x–1)/2 = (y–2)/–3 = (z–3)/5 is…
The ratio of roots of the equations ax^2…
The second degree equation x^2 + 4y^2 –…
The set of bivariate observations (x1, y1), (x2,…
The sum of the binary numbers (11011)₂, (10110110)₂…
The sum of the series 3 – 1…
The system of equations2x + y – 3z…
The top of a hill observed from the…
The total number of 5-digit numbers that can…
The variance of 25 observations is 4. If…
There are 17 cricket players, out of which…
Three dice having digits 1, 2, 3, 4,…
Three groups of children contain 3 girls and…
Two integers x and y are chosen with…
What is (a – b) × (a +…
What is 2tanθ / (1+tan^2θ) equal to?
What is d/dx[1 – sin 2x/1 + sin…
What islim (x→π/6) (2 sin²x + sin x…
What is lim (√1 – cos θ)/θ equal…
What is ∫ dx / (a² sin²x +…
What is ∫ e^(tan x) dx equal to…
What is ∫ sin³x cos x dx equal…
What is ∫[-1 to 1] d/dx (tan⁻¹(1/x)) dx…
What is ∫[2 to 5] |x – 5|…
What is ∫[a to b] ⌊x⌋ dx +…
What is the adjoint of the matrix[ cos(–θ)…
What is the area of the triangle with…
What is the coefficient of the middle term…
What is the determinant of the matrix |…
What is the distance of the point (2,…
What is the equation of straight line passing…
What is the minimum value of |x(x –…
What is the order of the differential equation…
What is the solution of the differential equation…
What is the solution of the differential equation…
What is the sum of all three-digit numbers…
What is the value of((–1 + i√3)/2)³ⁿ +…
What is the value of log7 log7 √7√7√7…
What is the value of log9 27 +…
What is/are the solution(s) of the trigonometric equation…
What should be the value of x so…
Which one of the following can be obtained…
Which one of the following factors does the…
Which one of the following is correct in…
Which one of the following is correct in…