Recently Active Algebra Questions

Roll 3 fair, six-sided dice, and let their sum equal X. Roll 2 fair, six-sided dice, and let their sum equal Y. Find the probability that Y > X. (Src.. Grissom) I dont seem to be able to think of a sleek solution.. (sleek ...

If a and b are positive numbers and each of the quations x2+ax+2b = 0 and x2+2bx+a = 0 has real roots, then the smallest possible value of (a+b) is 1. 3 2. 4 3. 5 4. 6 ...

number of possible ordered pair (s) (a,b) for each of which the equality a(cos x - 1) + b2 = cos(ax+b2) - 1 holds true for all x belonging to R are 1. 0 2. 1 3. 2 d. infinite ...

Assume that p is a real number. In order for x+3p+1 - x =1 to have real solutions it is necessary that 1. p≥1/4 2. p≥-1/4 c. p≥1/3 4. p≥-1/3 ...

is principle of inclusion and exclusion in course for JEE?? ...

If x be the real number such that x3+4x = 8 then the value of the expression x7 + 64x2 is 1. 124 2. 125 3. 128 4. 132 ...

if x2- 2cos∂ x +1 = 0 and y2 - 2 cos∞ y + 1 = 0 then 2cos(∂+∞) is equal to ...

If total number of runs scored in n matches is ( n+1/4 )(2n+1-n-2) where n.1, and the runs scored in the kth match are given by k(2n+1-k), wher 1≤k≤n. Find n. ...

The eqn x2+bx+c = 0 has distinct roots. It 2 is subtracted from each root, the results are reciprocal of the original roots. Then what is the value of (b2+c2+bc) ?? ...

Q1 solve for x: [lnex]( x2011 + 2011x - 2011) - [lne(1/x)]2011 = 0 ...

1) a chess board is labelled from nos 1 - 64 a term is defined as the score of labelling score of a particular labelling is the largest difference b/w 2 labels in squares sharing a common side or vertex. what is smallest poss ...

solve for x 1) (x2+2)2 + 8x2 = 6x (x2+2) ...

for the eq 3x2 +px +3 = 0 , p>0 if one of the roots is the square of the other then p is equal to ...

Find the no. of values of x belongs to R for which 64^(1/x) + 48^(1/x) = 80^(1/x) plzz give the full soln... ...

(1.2.4+2.4.8+3.8.12...to n terms/1.3.9+2.6.18+3.12.27+.....to n terms) plz...i need it urgently that's why i am posting here,otherwise i would post it in 9-10.sry. ...

find the no. of factors ( excluding 1 and the expression itself ) of the product of a^7 b^4 c^3 d e f where a b c d e f r all prime nos..?? plzzz provide the full soln.... ...

Solve:(x+4)(x+7)(x+8)(x+11)+20=0 ...

find the no. of ways of distributing 10 identical balls in 3 boxes so that no box contains more than 4 balls and less than 2 balls... ...

TOTAL 2 PROBLEMS *Image* It Came in IITJEE 1999 How To Solve This One ?? PLease solve it in DETAIL Stating HOW you got this ! *Image* Answer in "nCr" or Factorial Form !! ...

Let {D1,D2.......,Dn}be the set of all third order determinants that can be formed with the distinct non-zero real numbers a1,a2....,an,then (A) \sum_{i=1}^{}{n} Di=1 (B) \sum_{i=1}^{}{n} Di=0 (C)Di=Dj for all i,j (D) none. A ...

Find Minimum value of (s+5 - 3|cost|)2 +(s - 2|sint|)2= ...

Given are Positive integers not exceeding a fixed integer constant M. If the LCM of every 2 of them is greater than M,prove that the sum of the reciprocals of these numbers is less than 3/2 ...

Q.1. The number of terms of an A.P. is even;the sum of the odd terms is 24,of the even terms is 30,and the last term excceds the first term by10 1/2 ,find the number of terms and the sries. ...

If the first and the (2n-1)the terms of an A.P. , G.P. and H.P. are equal an their nth terms are a, b, c respectively, then (a) a=b=c (b) a≥b≥c (c) a+c=b (d) ac-b2 = 0 ...

( 2 +1)x+( 2 -1)x =6x/2 ...

solve 1) | x2+x+1|=3 2) |x|x2-x-2=1 ...

Find the values of α and β, 0<α, β < Π/2, satisfying the eqn - cos α cos β cos (α+β) = -1/8. ...

x+ log10(2x+1) =log106 +xlog105 ...

find the no. of solutions of the triplet (a,b,c) for which acos 2x+bcos2x+c=0 is satisfied for all values of x. ...

solve 1) (x+4)(x+7)(x+8)(x+11) +20=0 2) 2x3+5x2-2x+3=0 ...