VITEEE Maths Test - 5

If   is continuous at x = 0, then k =

The value of determinant ∆ of 3rd order is 9 then the value of ∆′² where ∆′ is a determinant formed by cofactors of the element of ∆ is

The real part of    is

Let

at x = 2

is

The order of the differential equation x2+y2+2gx+2fy+c=0, is

The solution of the differential equation is

Integrating factor of differential equation cos x dy/dx+y sin x = 1 is

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

If , then find f′ 2

Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A into B is

If where n > 1 , then I_n − I_n−2

∫[(x+sinx)/(1+cosx)] dx =

If cos^-1(x/a)+cos^-1(y/b)=α, then (x²/a²)-(2xy/ab)cosα+(y²/b²)=

Obtain 

The statement "If x is divisible by 8, then it is divisible by 6" is false if x equals

If the value of a determinants is 11, then the square of the determinant formed by its cofactor will be

If A is an 3x4 matrix and B is a matrix such that A'B and BA' both are defined, then size of B is

In a 12 storey building 3 persons enter a lift cabin. It is known that they will leave the lift at different storeys. In how many ways can they do so if the lift does not stop at the second storey.

If A and B are such events that P(A)>0 and P(B)≠1, then P(A̅/B̅) is equal to

A coin tossed until a head appears or until the coin has been tossed 5 times. If a head does not occur on the first two tosses, then the probability that the coin will be tossed 5 times is

In ΔABC , r + r₃ + r₁ − r₂ =

If the nth term of the geometric progression, 5, -5/2, 5/4, -5/8 is 5/1024, then the value of n is

If x and y are independent variables, then

The S.D. of 15 items is 6 and if each item is decreased by 1, then standard deviation will be

The one roots of the equation 2x⁵-14x⁴+31x³-64x²+19x+130=0 is

If one root of the equation a(b-c)x²+b(c-a)x+c(a-b)=0, is 1 then the other root is

The equation of the sphere concentric with the sphere x² + y² + z² - 4x - 6y - 8z - 5 = 0 and which passes through the origin is

The number of st. lines that are equally inclined to three dimensional co-ordinate axes is

If tanθ+cotθ=2, then θ=

Two common tangents to the circle x² + y² = 2a² and parabola y²= 8ax are

If the pairs of straigth lines x² - 2pxy - y² = 0 and x² - 2qxy - y² = 0 be such that each pair bisects the angle between the other pair, then

If makes an acute angle with , then is equal to

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