Explore topic-wise InterviewSolutions in Current Affairs.

Find the condition that the linex cos alpha+y sin alpha =P may touch the curve (n)/((x)/(a))(n-1)+ (n)/(y/b)(n-1)=1

Integrate the followinginte^(4x)/(e^(8x)+4)dx

Evaluate int(cosx)/(c cosx+d sinx)dxandint(sinx)/(c cos x + d sin x)dx

Determine whether each of the following relations is reflexive, symmetric and transitive.Relation R in the set A of human beings in a town at a particular time given by R={(x,y): x is father of y }

Determine whether each of the following relations is reflexive, symmetric and transitive.Relation R in the set A of human beings in a town at a particular time given by R={(x,y): x is wife of y }

Determine whether each of the following relations is reflexive, symmetric and transitive.Relation R in the set A of human beings in a town at a particular time given by R={(x,y): x and y live in the same locality}

Evaluate int_(1)^(2) log x dx

Determine whether each of the following relations is reflexive, symmetric and transitive.Relation R in the set A = {1,2,,3,…,13,14} defined as R= {(x,y) : 3x -y = 0}

The ratio of R : r of an equilateral triangle is : where R and r are circumradius and inradius respectively

Let cosA+cosB=x,cos2A+cos2B=y,cos3A+cos3B=z,then which of the following is true

Solve the following system of linear equations using matrix method.2x+3y+3z=5x-2y +z=-43x-y-2z=3

For what values of a the function f given by f(x) = x^(2) + ax + 1 is increasing on [1, 2]?

Two point charge (Q each) are placed at (0,y) and (0,-y). A point charge q of the same polarity can move along X-axis. Then :

If f(x+y)=f(x) f(y) and f(x)=1+g(x), h(x)" where "underset(x to 0)"Lt" g(x)=underset(x to 0)"Lt" h(x)" exists, then f(x) is continuous on "

Let f(x)={{:(a+bx","xlt1),(4","x=1),(b-ax","xgt1):} and if lim_(xto1)f(x)=f(1) what are the possible values of a and b

Which of the following factors are favourable for the formation of oxyhaemoglobin ?

Find the derivative of cos^(-1)(4x^(3)-3x) w.r.to x.

Lt_(n rarr oo)[(1n^(2))/((n+1)^(3))+(n^(2))/((n+2)^(3))+(n^(2))/((n+3))+...."to n terms"]

Three fair dice are rolled. What is the probability of getting different numbers on the dice such that 1^(st) die show show bigger number than the remaining two dice.

A line L_1 passing througha point with position vector p=i+2h+3k and parallel a=i+2j+3k, Another line L_2 passing through a point with position vector to b=3i+j+2k. Q. Equation of a line passing through the point (2, -3, 2) and equally inclined to the line L_1 and L_2 may equal to

Consider the circle x^(2)+y^(2)=1 and thhe parabola y=ax^(2)b(agt0). This circle and parabola intersect at

y= e^(x+ e^(x+ e^(x+ ....oo))) then find (dy)/(dx)

Let bara, barb, barc be such that barc ne 0, bara xx barb = barc, barb xx barc = bara. Show that bara,bard, barc are pair orthogonal vectors and |barb|=1,|barc|=|bara|.

Find the coefficient of x^(5) in ((1-3x)^(2))/((3-x)^(3//2)).

A line L_1 passing througha point with position vector p=i+2h+3k and parallel a=i+2j+3k, Another line L_2 passing through a point with position vector to b=3i+j+2k. Q. Equation of plane equidistant from line L_1 and L_2 is

Draw a graph of f(x) = sin {x}, where {x} represents the greatest integer function.

If x and 'a' are real, then the value of 'a' for which x^(2)-(3ax)/(2)+1-a^(2) is positive is

Show that the function f : R rarr {x inR:-1lt x lt1}defined by f(x) =x/(1+|x|),x in Ris one one and onto function.

intcosx.log (tan""(x)/(2))dx =

A,A,B,B,C,C,D,E,F are arranged in a row so that no two alike alphabets are together. Find number of such arrangment

If f(a+b-x)=f(x)," then "int_(a)^(b)xf(x)dx=

underset(x to 1)"Lt" {1-x+[x-1]+[1-x]}" is "

The set of all points where f(x) is increasing in (a,b)cup(c, infty) then [a+b+c] is (where [.] denotes the greatest integer function). Given that f(x)=2f(x^(2)/2)+f(6-x^(2)) for all xinR and f(x)gt 0 "for all" x in R------

int(sin^(3)2x)/(cos^(5)2x)dx=...

Five cards are drawn successively with replacement from a well-shuffled deck﻿ of 52 cards. What is the probability that﻿ (i) all the five cards are spades?﻿ (ii) only 3 cards are spades?﻿ (iii) none is a spade?﻿

Show that the foot of the perpendicular drawn from the centre on any tangent to the ellipse lies on the curve (x^2+y^2)^2=a^2x^2+b^2y^2.

The complex equation |z + 1- i| = |z + i-1| represents a

If p_1,P_2,P_3 denot the distances of the plane 2x-3y+4z +2 = 0 from the planes2x-3y + 4z + 6 = 0, 4x-6y+8z +3 = 0 and 2x -3y + 4z -6 = 0 repectively then , .......... Is not true.

Match the following lists :

Match the following lists :

Match the following lists :

Match the following lists :

Check whether the realtion R defined in the set {1,2,3,4,5,6} as R = {(a,b) : b =a +1} is reflexive, symmetric or transitive.

If (l,m) is the circumcentre of an equailateral triangle inscribedin theellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 havingverticlesat pointswith ecentric angles theta_(1),theta_(2) and theta_(3) then 2/3[cos(theta_(1)-theta_(2))+cos(theta_(2)-theta_(3)+cos(theta_(3)-theta_(1))] =

A fair coin and an unbiased dice are tossed. Let A be the event 'head appears on the coin' and B be the event '3 on the dice' . Check whether A and B are independent events or not.

If tan^(-1)((x-1)/(x-2)) + tan^(-1)((x+1)/(x+2)) = pi/4, then find the value x.

Consida square matrix A of order 2 which has its elements as 0, 1, 2 and 4. Let N denotes the number of such matrices.

I= int x "In" (1+(1)/(x) ) dx.

Two cards are drawn successively with replacement from a well-shuffled﻿ deck of 52 cards. Find the probability distribution of the number of aces.

Five cards are drawn successively with replacement from a well-shuffled deck of 52 cards. What is the probability that (i) all the five cards are spades? (ii) only 3 cards are spades? (iii) none is a spade?

Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. Find the probability distribution of the number of aces.