NDA Mathematics 2012 (II)
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Questions
A square matrix [aᵢⱼ] such that aᵢⱼ =…
ABCD is a parallelogram. If AB = a,…
Consider a differential equation of order m and…
Consider the following : 1.lim x→0 (1/x) exists.…
Consider the following : 1. 4i×3i = 0…
Consider the following statements : 1.The value of…
Consider the following statements : 1.If y =…
Consider the following statements : 1.If f(x) =…
Consider the following statements : 1.The sum of…
Consider the following statements : 1.(ω¹⁰ + 1)⁷…
EFGH is a rhombus such that the angle…
For the differential equation (dy/dx)^2 – x(dy/dx) +…
Frequency curve may be :
From the point (4,3) a perpendicular is dropped…
From the top of a lighthouse 70 m…
If (logₓ y)(logᵧ 2x)(log₂ₓ y) = logₓ x²,…
If 4 sin²θ = 1, where 0 <…
If A = [3 4; 5 6; 7…
If A and B are two events such…
If a line OP of length r (where…
If P(E) denotes the probability of an event…
If a non-empty set A contains n elements,…
If a.b = 0 and a×b = 0…
If each element in a row of a…
If f(x) = 2^(sin x), then what is…
If sec α = 13/5 where 270° <…
If sin A = 2/√5 and cos B…
If the distance between the points (7,1,-3) and…
If the matrix AB is a zero matrix,…
If the matrix [α 2 2; –3 0…
If the mean of few observations is 40…
If the points (2,4), (2,6) and (2+√3,k) are…
If the roots of a quadratic equation are…
If the roots of the quadratic equation 3x²…
If the sum of the matrices [x y;…
If x^m + y^m = 1 such that…
If y = ln(e^x + e^-x), then what…
Let A = {x ∈ R | x…
If α, β are the roots of x²…
Let A = {x ∈ W; x <…
Let P = {1, 2, 3} and a…
Let X and Y be two related variables.…
Let f : R → R be a…
Let p, q, r, s be the distances…
The algebraic sum of the deviations of 20…
The angle subtended at the centre of a…
The angles of a triangle are in AP…
The arithmetic mean of numbers a, b, c,…
The decimal number (57.375)₁₀ when converted to binary…
The decimal representation of the number (1011)₂ in…
The differential equation representing the family of curves…
The differential equation y dy/dx + x =…
The eccentricity e of an ellipse satisfies the…
The equation of a straight line which makes…
The equation to the locus of a point…
The function f(x) = x^3 – 3x^2 +…
The inverse of a diagonal matrix is a…
The line making an angle (-120°) with x-axis…
The line y = 0 divides the line…
The locus of a point equidistant from three…
The magnitude of the scalar p for which…
The mean of 10 observations is 5. If…
The median of 27 observations of a variable…
The monthly family expenditure (in percentage) on different…
The number of permutations that can be formed…
The points (5,1), (1,-1) and (11,4) are :
The radius of a circle is uniformly increasing…
The relation ‘has the same father as’ over…
The sum of the focal distances of a…
The top of a hill observed from the…
The value of the determinant| x² 1 y²+z²…
The value of the sum Σ (iⁿ +…
The vector 2j – k lies :
The vector a×(b×a) is coplanar with :
Three coins are tossed simultaneously. What is the…
What are the direction cosines of a line…
What are the direction ratios of the line…
What is ∫ (1/cos^2 x – 1/sin^2 x)…
What is ∫ (ln x)/x dx equal to…
What is ∫ -1 to 1 (x |x|)…
Two dice each numbered from 1 to 6…
Two dice each numbered from 1 to 6…
The sum of first 10 terms and 20…
What is lim x→0 ( 2(1-cos x) )…
What is lim x→0 ( √1+x – 1…
What is lim x→2 (x-2)/(x^2 – 4) equal…
What is sin[ sin⁻¹(3/5) + sin⁻¹(4/5) ] equal…
What is tan⁻¹(-585°) equal to ?
What is the angle between the lines (x-2)/1…
What is the area of the portion of…
What is the area of the region bounded…
The sum of first 10 terms and 20…
What is the degree of the differential equation…
What is the distance of the point (1,2,0)…
What is the equation to the plane through…
What is the equation to the straight line…
What is the general solution of the differential…
What is ∫ 0 to 1 (tan^-1 x)/(1+x^2)…
What is ∫ 0 to π/2 (sin 2x…
What is ∫ a^x e^x dx equal to…
What is the general solution of the differential…
What is the geometric mean of the sequence…
What is the mean of first n odd…
What is the minimum value of |x| ?
What is the modulus of (√2 + i)…
What is the most probable number of successes…
What is the number of diagonals which can…
What is the perpendicular distance between the parallel…
An urn contains one black ball and one…
What is the probability that a leap year…
An urn contains one black ball and one…
What is the standard deviation of 7, 9,…
What is the sum of first eight terms…
What is the value of sin 15° ?
What is the value of sin 18° cos…
What is the value of λ for which…
Which one of the following is correct ?
What is the value of λ if the…
Which one of the following is a measure…
Which one of the following is correct in…