Explore topic-wise InterviewSolutions in Current Affairs.

In a book-stall, there are 4 copies of one book, 5 copies of another and single copy of 5 other different books. Then the no. of ways that a person can purchase one or more books is

The sum of an infinite geometirc progression is 2 and the sum of the geometric progression made from the cubes of this infinite series is 24. Then find its first term and common ratio :-

Find the area enclosed by the astroid ((x)/(a))^((2)/(3)) + ((y)/(a))^((2)/(3))=1

Show that int _(0) ^(pi) (dx)/((a - cos x )) = (pi)/(sqrt((a ^(2) -1))). Hence or otherwise evaluate int_(0)^(pi) (dx)/((sqrt5)- cos x )^(3).

Evaluate the definite integrals int_(0)^(2)(6x)/(x^(2)+4)dx

Find shortest distance between y^(2) =4x" and "(x-6)^(2) +y^(2) =1

Let a, b, c such that (1)/((1-x)(1-2x)(1-3x))+(a)/(1-x)+(b)/(1-2x)+(c)/(1-3x), a/1+b/3+c/5=

If abs(z_(1))=2,abs(z_(2))=3 then abs(z_(1)+z_(2)+5+12i) is less then

Find the derivativeof y, with respect to x, of the function represented parametrically : x = int_(1)^(t^(3)) 3 sqrt(x) " In dx, y"= int_(sqrt(t))^(3) z^(2) I nzdz

The solution of sin^(-1)((dy)/(dx)) = y + x is

If the vectors hat(i)-3hat(j)+2hat(k), -hat(i)+2hat(j) represent the diagonals of a parallelogram, then its area will be

12 persons attend a dinner party round a table. Out of them 2 are ladies. Find the probability that three are 3 men between the ladies.

Find a particular solution of the differential equation (x-y)(dx+dy)=dx-dy. Given that y=-1, when x=0.

int (x + 1)/(x (1 + xe^(x)))dx =

If |vec(a)| = 3, |vec(b)| = 4, then the value 'lambda'for which vec(a) + lambda vec(b) is perpendicular to vec(a) - lambda vec(b), is

Find the point on the curve y = x^(3) - 6x + 3 at which equation of tangent is3x + y - 1 =0

If p has truth value T, what can be said about the truth values of p vv q rarr ~~ p ^^ q.

The abscissae of two points A and B are the roots of the equation x^(2)+2ax-b^(2)=0 and their ordinate are the roots fo the equations y^(2)+2py-q^(2)=0 then the radius of the circle with AB as diameter is

If the difference between the mean and variance of a Binomial variae is 5/9 then find the probability for the event of 2 successes when the experiment is conducted 5 times.

Check weather the following function/functions is/are periodic or not? Find the period in case the function is periodic. (##CEN_GRA_C01_S01_013_Q01.png" width="80%">

Some standard forms of integration : intsqrt(1-4x-x^(2))dx=.......+c

Check weather the following function/functions is/are periodic or not? Find the period in case the function is periodic.

Which of the following is equivalent to(z^2+7z-3)/(z+2)?

Inverse of the matrix of ((1,2),(3,4)) is

Verify that |P({a,b,c})|=2^3

Evaluate the following integrals inte^sqrt(x)dx

If |vec(a)| = 2, |vec(b)| = 7 and vec(a) xx vec(b) = 3hat(i) + 2hat(j) + 6hat(k), find the angle between vec(a) and vec(b).

If x and y are angles such that cos x + cos y = 3/2 and sin x + sin y = 3/4, then sin (x +y) equals to

A point R with x-coordinate 4 lies on the line segment joining the points P(2,-3,4) and Q(8,0,10). Find the coordinates of the point R.

Evalute the following integrals int 2 x cos " (x^(2) + 1) dx

If f(x)=k^(3)x+k^(3)-2 cuts the curve g(x)=1/2Inx^(2) at exactly one point 'k' may lie in the interval

Evaluate int (1)/(1 - x-x^(2)) dx

The locus of the point whose distance from the origin is twice its distance from the plane 2x + 3y – 6z = 0 is

Ifa _ kisthecoefficientofx ^kintheexpansion of(1 + x+ x ^ 2 ) ^ nfork = 0, 1, 2, …, 2n, thena _ 1+ 2a _ 2 +3a _ 3 +… +2na _ (2n )isequalto

((1+costheta+isintheta)/(1+costheta-isintheta))^(n)

The negation of the statement given by "He is rich and happy" is

The remainder obtained when the polynomial x^(4)-3x^(3)+9x^(2)-27x+81 is divided by x-3 is

Prove the following : Express 4cosA.cosB.cosC as the sum of four cosines.

IfA= cos^(2) 10^(@) + cos^(2) 50^(@) + cos^(2) 70^(@) , B= sin^4"" (3pi)/8 - cos^(4)""(3pi)/8 ,C=cos^(2)""(pi)/(10)+ cos^(2)""(2pi)/5+cos^(2)""(3pi)/5+cos^(2)""(9pi)/(10) then the descending order is

The solution set of the inequation (x+11)/(x-3) gt 0 is

Determine the sine of the angle between the vectors hat-3hatj+hatk, hati+hatj+hatk

If y=x+[x], then Statement I (dy)/(dx)=1 for all x"inR Statement II(d([x]))/(dx)={(""0","""x cancelin "Integer"),("does not exist"""x.in"integer"):}

3 fair dice are rolled and given that atleast two of them show the same number. Find the probability that atleast one die show 4.

If x gt 3, which of the following is equivalent

Let [t] denote the greatest integer le t and lim_(xto0)x[4/x]=A. Then the function, f(x)=[x^(2)]sin(pix) is discontinuous, when x is equal to :

Which of the following sentences are propositions and which are not ? Write with reason : Ram is a friend of Hari.

In three boxes numbers of balls are 3 white & 1 black, 2 white and 2 black, 1 white and 3 black balls respectively. One ball is drawn from each box randomly. Then .......... is the probability of event that selected balls are 2 white and 1 black.