Recently Active Algebra Questions

exercise 13.4 q3) let x represent difference b/w no. of heads and no. of tails obtained when a coin is tossed 6 times.what are possible values of x? q12 ) 2 numbers are selceted at random from first 6 positive integers withou ...

if a1,a2,a3..............an ar n postive numbers in arthmetic progression with common difference d≠0 and sn= \Sigma r=1 to n ar, then a) sn>n x nth root of a1a2an b)sn>n a1 an c)sn>n 2a1(n-1)d d)sn>2[ a1a2 + a3a ...

A candidate is required to answer 7 out of 12 questions which are divided into two parts A and B , each containing 6 questions . he is not permited to answer more than 5 questions from either part , The number of ways , he ca ...

if 1>=a>=b>=c>=0 & λ is a real root of the equation x3+ax2+bx+c =0 then max. value of modulus λ is ? a)1 b)1.5 c)2 d)0.5 ...

Two numbers are selected at random (without replacement) from the first six positive integers. Let X denote the larger of the two numbers obtained. Find E(X). ...

probablity misc exercise q11..... in a game a man wins a rupee for a six and loses a rupee for any other number when a fair die is thrown.a man decides to throw a die thrice but to quit as soon as he gets a six.Find expected ...

f(x)=x2 -2x-a2 +1 g(x)=x2 -(a2 +a+1)x+a2 +a Q1. The number of values of a for which f(x)=0 and g(x)=0 have exactly one common root. Q2. The range of a for which the bigger root of g(x)=0 is greater than the bigger root of f(x ...

1. if a and b are integers and x2 + ax + b =0 has discriminant as a perfect square then prove that its roots are integers. SOLUTION IS : roots are { - a± √ ( a2 -4b)} / 2 if a2 -4b = 4m , then a will be even and roots will ...

There are 15 tickets numbered from 1 to 15 . Find the number ways in which 3 units having 5,3 and 2 tickets with consecutive numbers can be selected distributed amongst 3 children. ...

if 1>=a>=b>=c>=0 & λ is a real root of the equation x3+ax2+bx+c =0 then max. value of modulus λ is ? a)1 b)1.5 c)2 d)0.5 ...

Given a,b,c>0, find all real solutions to the equation: \sqrt{a+bx} + \sqrt{b+cx} + \sqrt {c+ax} = \sqrt{b-ax} + \sqrt{c-bx} + \sqrt{a-cx} ...

1 ) If each element of a second order determinant is either zero or one,what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently,ea ...

if modulus of z-i is less than 1 then the value of modulus of z+12-6i is less than a)14 b) 2 c) 28 d) none. plz show that how to do it??? ...

1 ) If each element of a second order determinant is either zero or one,what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently,ea ...

let a1,a2,a3 be a sequence of real no.s such dat an+1 = an + (an^2 + 1)^1/2 then LIM n-> ∞ (an/2n-1) is 1. 1 2. 0 3. -1 4. 2 ...

a bag contains 3 red 4 white balls and another ball contains 4 red 3 white a die is cast if face 1 or 3 turns up a ball is taken from the first bag and if any other face turns up . a ball is taken from second bag find the pro ...

two person Aand B throw a coin alternatevely till one of them gets ' head' and wins the game. find the respective probabilities of winning ...

3 can be written as 1+1+1 2+1 1+2 3 (4 ways..) In how many ways n can be written.. _________________ I think I posted this one earlier... in some post...(Nisahnt bhaiya gave the answer but not the method...that time...(sayad. ...

1. If 2 no.s x and y are chosen from the set of natural no.s, then probabilty that x^2 +y^2 is divisible by 5 is..... 2. If sum of two positive integers is 2n , then the probabilty that their product is grtr than 3/4th of the ...

If there are 'm' non concurrent and non parallel lines, then what is the maximum number of points which are equidistant from all the 'm' lines? ...

EVALUATE Σi≠j 21Ci*21Cj where 0 ≤ i ≤10 , 0 ≤ j ≤ 10. ...

There are 5 eligible punjabi grooms of which 3 know bengali and 5 eligible bengali grooms of which 2 know punjabi . There are 5 eligible punjabi brides and 5 eligible bengali brides.If an eligible groom is agreeable to marry ...

THERE ARE 10 INTERMEDIARY STATIONS BETWEEN TWO JUNCTIONS WHERE AN EXPRESS TRAIN STOPS.IF 6 PERSONS BOARD THE TRAIN AT SOME INTERMEDIARY STATION OR OTHER DURING THE JOURNEY AND EACH OF THE 6 PASSENGERS HOLD A DIFFERENT VARIETY ...

A BADMINTON CLUB HAS 10 COUPLES AS MEMBERS .THEY MEET TO ORGANISE A MIXED DOUBLE MATCH .IF EACH WIFE REFUSES TO PARTNER AS WELL AS OPPOSE HER HUSBAND IN THE MATCH THEN IN HOW MANY WAYS CAN THE MATCH BE ARRANGED?? ...

Assume that the chances of a patient having a heart attack is 40%. It is also assumed that a meditation and yoga course reduce the risk of heart attack by 30% and prescription of certain drug reduces its chances by 25%. At a ...

this question shows the extent of love in todays world.... a man has x+1 children frm prev. marriage and his current wife has x childern frm prev. marrage ............ they marry and have chidern of thier own ..... find max. ...

Prove that four point picked at random in a parallelogram form a convex quadrilateral with probability 25/36 ...

divide n distinct objects into l groups containing p objects each m groups containg q objects each then find the way of group formation and also find the permutation of these groups ...

question 1 in how many ways the number 10800 can be resolved as product of 2 factors ...

if A and B are the roots of x2-8x+4M=0 and C and D x2-72X+4N=0 if A<B<C<d and A,B,C,D are in GP then MN= A)729/4 B)27/16 C)729 D)243 ...