NDA Mathematics 2014 (II)
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Questions
A and B are two sets having 3…
A fair coin is tossed four times. What…
A lamp post stands on a horizontal plane.…
A(3, 4) and B(6, -2) are two points…
Consider events A, B, C, D, E of…
Consider events A, B, C, D, E of…
Consider events A, B, C, D, E of…
Consider events A, B, C, D, E of…
Consider the following statements : 1.Determinant is a…
Consider the expansion (x² + 1/x)¹⁵. Consider the…
Consider the expansion (x² + 1/x)¹⁵. Consider the…
Consider the function f(x) = { x² –…
Consider the following statements : 1.The function f(x)…
Consider the following statements in respect of histogram…
Consider the following statements: 1.The sphere passes through…
Consider the functionf(x) = { (tan kx)/x ,…
Eliminating the arbitrary constants B and C in…
Every quadratic equation ax² + bx + c…
Let f(x) = ax² + bx + c…
For any two events A and B, which…
Let f(x) = ax² + bx + c…
For what value of λ are the vectors…
From the matrix equation AB = AC, where…
If (sin(x + y))/(sin(x – y)) = (a…
If A = |4 x+2||2x–3 x+1| is symmetric,…
If A and B are square matrices of…
If A is an invertible matrix, then what…
If a ≠ b ≠ c are all…
If cot A = 2 and cot B…
If f(x) = ax + b and g(x)…
If sin A sin(60° – A) sin(60° +…
If the matrix A is such that|1 3|…
If x̄ and ȳ are the means of…
If y = x ln x + xe^x,…
If | 6i – 3i | = x…
If |a + b| = |a – b|,…
If |a b| = 0, then which one…
If |a| = 2, |b| = 5 and…
If α, β are the roots of ax²…
In a triangle ABC, c = 2, A…
In a triangle ABC, sin A – cos…
Let A and B be two matrices such…
Let z be a complex number such that…
Suppose A and B are two events. Event…
The function f : N → N, N…
The line y = √3x meets the graph…
The regression lines will be perpendicular to each…
The probability that in a random arrangement of…
The relation S is defined on the set…
Consider the circles x² + y² + 2ax…
The variance of 20 observations is 5. If…
There are 4 white and 3 black balls…
Two students X and Y appeared in an…
Consider the plane passing through the points A(2,…
What is ( (1 + i)ⁿ⁺⁵ / (1…
What is ( (√3 + i)/(√3 – i)…
Consider the function f(x) = (x – 1)/(x…
What is (cos 7x – cos 3x)/(sin 7x…
What is (1001)₂ equal to ?
a + b + c = 0 such…
Consider I = ∫₀^π (x dx) / (1…
Let Sₙ denote the sum of first n…
a + b + c = 0 such…
a + b + c = 0 such…
Consider the curve x = a(cos θ +…
Consider the curve x = a(cos θ +…
Consider the function f”(x) = sec^4 x +…
Consider the function f(x) = (x – 1)/(x…
Consider the function f(x) = (x – 1)/(x…
Consider the function f”(x) = sec^4 x +…
What is lim (1 + 2 + 3…
What is lim (5^x – 1)/x equal to…
What is lim (log₅(1 + x))/x equal to…
Consider the function f(x) = { x² –…
What is √1 + sin 2θ equal to?
What is ∫₀^(π/2) dx / (a²cos²x + b²sin²x)…
Consider the integral I = ∫₀^(π/2) ln(sin x)…
Consider the integral I = ∫₀^(π/2) ln(sin x)…
Consider I = ∫₀^π (x dx) / (1…
Consider I = ∫₀^π (x dx) / (1…
Let Sₙ denote the sum of first n…
What is sin²66½° – sin²23½° equal to?
What is sin⁻¹(3/5) + sin⁻¹(4/5) equal to?
a + b + c = 0 such…
The line 2y = 3x + 12 cuts…
The line 2y = 3x + 12 cuts…
What is the area of the parabola y²…
What is the area of the triangle OAB…
Consider a sphere passing through the origin and…
What is the degree of the differential equation…
Consider the function f(x) = { x² –…
Consider the circles x² + y² + 2ax…
Consider the expansion (x² + 1/x)¹⁵. What is…
A cylinder is inscribed in a sphere of…
What is the interior acute angle of the…
What is the length of the latus rectum…
A rectangular box is to be made from…
What is the mean deviation about the mean…
What is the number of ways in which…
What is the number of ways that a…
What is the product of the perpendiculars drawn…
A cylinder is inscribed in a sphere of…
Consider a sphere passing through the origin and…
The line joining the points (2, 1, 3)…
Consider the expansion (x² + 1/x)¹⁵. What is…
What is the solution of the equation ln(dy/dx)…
What is the sum of the coefficients of…
Consider ∫ (x tan⁻¹x dx) = A(x² +…
Consider ∫ (x tan⁻¹x dx) = A(x² +…
Let f(x) = ax² + bx + c…
Given that 16 sin⁵x = p sin 5x…
Given that 16 sin⁵x = p sin 5x…
Given that 16 sin⁵x = p sin 5x…
A rectangular box is to be made from…
The line 2y = 3x + 12 cuts…
The line joining the points (2, 1, 3)…
Which one of the following is correct in…
Which one of the following is one of…
Which one of the following is the unit…
Consider the plane passing through the points A(2,…