NDA Mathematics 2012 (I)
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Questions
A and B are two matrices such that…
A variate X takes values 2, 9, 3,…
Consider the following in respect of the function…
Consider the following statements : 1.A continuous random…
Consider the following statements : 1. 1° in…
Consider the following statements : 1. Two independent…
Consider the following statements : 1. Every zero…
Consider the following: 1.∫ ln 10 dx =…
From the top of a building of height…
How many tangents are parallel to x-axis for…
If 1/4, 1/x, 1/10 are in HP, then…
If A + iB = 4 + 2i…
If A = ( 1 2 ) and…
If A = [1 2; 1 2] and…
If A = {0, 1} and B =…
If A and B are any two sets,…
If A and B are two non-empty sets…
If a = (2, 1, -1), b =…
If | 8 -5 1 || 6 3…
If |a| = 10, |b| = 2 and…
If A is a square matrix such that…
If ABCD is a cyclic quadrilateral then what…
If a line makes the angles α, β,…
If a matrix A has inverses B and…
If cosec θ – cot θ = 1/√3…
If cot A . cot B = 2,…
If f(x) = x² – 6x + 8…
If f(xy) = f(x)f(y), then f(t) may be…
If four dice are thrown together, then what…
If one of the roots of the equation…
If p, q, r are in AP as…
If sin⁻¹ 1 + sin⁻¹ 4/5 = sin⁻¹…
If tan θ + sec θ = 4,…
If the difference between the roots of ax²…
If tan⁻¹ 2, tan⁻¹ 3 are two angles…
If the latus rectum of an ellipse is…
If the magnitudes of two vectors a and…
If the mid point between the points (a…
If the sequence {sₙ} is a geometric progression…
If the vectors i – xj – yk…
If two rows of a determinant are identical,…
If y = (x + 1) / (x…
If y = cos t and x =…
If α and β are the roots of…
If z = 2i, then which one of…
If θ = 18°, then what is the…
In a triangle ABC if the angles A,…
In the expansion of (1 + x)ⁿ, what…
Let A = {x : x is a…
Let O be the origin and P, Q,…
Let U = {x ∈ N : 1…
Out of 500 first year students, 260 passed…
The acute angle which the perpendicular from origin…
The angle of elevation of a tower at…
The angle of elevation of the tip of…
The area bounded by the curve x =…
The geometric mean and harmonic mean of two…
The number 292 in decimal system is expressed…
The set A = {x : x +…
The solution of the simultaneous linear equations 2x…
The sum and product of matrices A and…
The value of the term independent of x…
Three dice are thrown. What is the probability…
Two poles are 10 m and 20 m…
What are the direction ratios of normal to…
What does the series 1 1 11 + 3 + 2…
What is (sin θ/cosec θ) × (cos θ/sec…
The equation formed by multiplying each root of…
What is lim(x→-2) (x + 2) / (x³…
What is sin A cos A tan A…
What is lim(x→0) x² sin(1/x) equal to?
Let sin(A + B) = 1 and sin(A…
What is tan (π/12) equal to ?
Let sin(A + B) = 1 and sin(A…
What is the angle subtended by 1 m…
What is the area of the rectangle having…
What is | -a² ab ac | | ab -b² bc | equal to…
What is ∫(from -π/2 to π/2) sin x…
What is ∫(from 0 to 1) tan⁻¹x /…
What is ∫(x² + 1)^(5/2) × x dx…
What is the arithmetic mean of first 16…
What is the cosine of angle between the…
What is the degree of the differential equation…
What is the decimal number representation of the…
What is the distance between the lines 3x…
What is the diameter of the sphere x²…
What is the eccentricity of the conic 4x²…
What is the equation of line passing through…
What is the maximum value of sin 3θ…
What is the maximum value of sin²x ?
What is the mode for the data 20,…
What is the nth term of the sequence…
What is the number of ways that 4…
What is the order of the product[a h…
In a city, three daily newspapers A, B,…
In a city, three daily newspapers A, B,…
In a city, three daily newspapers A, B,…
In a city, three daily newspapers A, B,…
What is the perimeter of the triangle with…
What is the perpendicular distance of the point…
What is the probability that a leap year…
What is the rate of change of √(x²…
What is the slope of the tangent to…
What is the solution of the differential equation…
What is the sum of the series 1…
What is the sum of the squares of…
What is the sum of the squares of…
What is the value of 2 log₂ 2…
Let sin(A + B) = 1 and sin(A…
What is the value of cos⁵(cos⁻¹ 4/5 +…
What is the value of m if the…
What is the value of sec² tan⁻¹ (5/11)…
What is the value of sin 420° ·…
What is the value of sin(1920°) ?
Which one of the following differential equations is…
The equation formed by multiplying each root of…
Which one of the following functions is differentiable…
Which one of the following is positive in…
Which one of the following statements is correct?
Which one of the following statements is correct?