VITEEE Maths Test - 10

The value of arg [(1-i√3)/(1+i√3)] is

(x + y + z) (x + y ω + z ω²) (x + yω² + z ω)   =

Which equation has the solution y=A sinx+B cosx?

The solution of the differential equation x² dy/dx-xy=1+cos y/x is

Let f(x) = log |x - 1|, x ≠ 1. The value of is

The solution of the equation (1+x²)(1+y)dy+(1+x)(1+y²)dx=0 is

(d/dx)[cos(1-x²)²]=

If f x = log x , g x = x³ then f[ga]+f[gb]

=

If ∫(sin 2x - cos 2x)dx = (1/√2) sin (2x-a) + b

If then I is equal to

The valuie of sin^-1 cos(sin^-1 x) + cos^-1 sin (cos^-1 x) is

True statement for

Consider the sentence: x < 5
Which of the following integers makes this open sentence true?

If |A| represents the determinant of a square matrix of order 3 then (-2A)=

If B is a non-singular matrix and A is a square matrix, then det (B^-1AB) =

Five seats are vacant in a railway compartment, then in how many ways can three passengers be seated on these seats?

Two dice are thrown simultaneously. The probability of obtaining a total score of seven is

If S is a sample space, , where A, B are two mutually exclusive events, then P(A) =

In a Poisson distribution mean is 16, then S.D is

In Δ A B C , i f A = 60⁰then

11³ + 12³ + 13³ + ... + 20³ is

For a frequency distribution mean deviation from mean is computed by

The average weight of students in a class of 35 students is 40 kg. If the weight of the teacher be included, the average rises by (1/2) kg ; the weight of the teacher is

If x = 2 + i √3, then the value of, 4x² + 8x + 13 is____

A quadratic equation whose one root is the square root of -47+8√-3 is

The intersection of the spheres x² + y² + z² + 7x - 2y - z = 13 and x² + y² + z² - 3x + 3y + 4z = 8 is the same as the intersection of one of the sphere and the plane

The smallest values of θ satisfying the equation √ 3 cot θ + tan θ = 4 is

A tetrahedron has vertices at O (0, 0, 0), A(1, 2, 1), B(2, 1, 3) and C (-1, 1, 2). Then the angle between the faces OAB and ABC will be

The angle between the two straight lines represented by 6y² - xy - x² + 30y + 36 = 0 is

Let a, b and c be distributed non-vegetative numbers. If the vectors aî + aĵ + ck̂, î + k̂ and cî̂ + cĵ̂ + bk̂ lie in a plane, then c is

If vectors i+2j+3k and 3i-2j+k represents the adjacent sides of a parallelogram, the area of parallelogram is