Recently Active Algebra Questions

Let and B be different n x n matrices with real entries. I f A3=B3 and A2B=B2A , can 2+B2 be invertible? ...

find min. value of [(x+1/x)6-(x6+1/x6)-2]/[(x+1/x)3+(x3+1/x3)] for x>0 and [.] doesnt mean GINT ...

what is the probability of getting two consecutive heads in 5 tosses of an unbiased coin? ...

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1. n boys B1,B2,...,Bn and n girls G1,G2,...,Gn line up.Find the number of arrangements in which Gi is ahead of Bi for all i=1,2,...,n. ...

I AM STARTING THIS THREAD WHERE U CAN POST ALL THE SHORTCUT FORMULAS AND TRICKS IN EACH SUBJECT BE IT PHYSICS OR CHEMISTRY OR MATHS. JUST GIVE THE SUBJECT AND TOPIC HEADING TO UR REPLY AND POST THE SHORTCUTS. ...

Hey can anyone pls tell me somethin about normal and poissons distributions ........just some basic stuff cause i cant find anything about them... ...

Two planes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2, respectively. The second plane will bomb only if the first misses the target. The probability that the ta ...

What is the maximum value of 1/2x + 1/21/x for x > 0? ...

Find all integers 'a' such that (x - a)(x - 12) + 2 can b factored as (x + b)(x + c) where 'b' and 'c' are integers. ...

Plz giv me the properties of determinants useful for iitjee. Also giv me some tips. ...

Plz giv me some nice sites where i can learn calculus. :) ...

Plz giv me the properties of matrices useful for iitjee. Also giv me some tips. ...

The mean value theorem is applicable to f(x)=(x-1)2/3 in the interval..... a)[-2,2] b)[2,4] c)[0,2] d)any finite interval ...

The sum of all 5 digit nos. formed by the digits 1,3,5,7,9 when repetetions are alowed is a)66666600 b)6666600 c)56*11111 d) 55*11111 ...

Q102) |Z1| = 1 and |Z2 - 3 - 3i| = 1 , then minimum value of |Z1 - Z2| = ? a) 3√2 b) 3√2 – 1 c) 3√2 - 2 d) None of these. i'm getting answer (a) ,but is given (c). Q83) What is the locus of centre of a circle that tou ...

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What is the maximum number of rational points that can lie on a circle in R2 whose center is not a rational point? (A rational point is a point both of whose coordinates are rational numbers.) ...

If logxy*logxyy*logx2yy =1/6 the express y as a real function of x and indicate the domain of definition . i have tried it and got x+xy+x2y=y6 now what next? ...

*Image* Find the condition that the roots of the above equation r reciprocal of each other A)a-b=0 B)a=0 C)b=0 D)a+b=0 ...

If f(x) and g(x) be two given functions with their domain as R ,then what can you say about h(x) ={ f(x)+f(-x)} {g(x)-g(-x)} ??? NOTE: {} DOES NOT represent fractional part R represents set of real numbers A.always an odd fun ...

der is a chessboard of m/n dimension......calculate no of square,reactangles & rectangles wich r not squares...in the chess board ...

25. In a ΔABC, the sides a, b and c are such that they are the roots of the equation x3 – 11x2 + 38x – 40 = 0, THEN COSA\a +COSB\b + COS C|c = (A) 3\4 (B) 1 (C) 0 (D) 9\16 ...

a,b, c are real numbers such that (a+b-2c)^2 + (b+c-2a)^2 + (c+a-2b)^2 = (a-b)^2 + (b-c)^2 + (c-a)^2 Find a:b:c ...

If (1+3+5+...+p)+(1+3+5+..+q)=(1+3+5+..+r) where each set of parantheses contains the sum os consecutive odd integers as shown ,the smallest possible value of p+q+r,(where p>6) is ??? ...

let f:[1/2,1]→[-1,1] is given by f(x)=4x3-3x then f-1(x) is given by 1. cos (1/3 cos-1x) 2. 3cos(cos-1x) 3. 3sin(sin-1x) 4. 3sin-1(sinx) 5. sin(1/3 sin-1x) ...

if f(x) =1 + ax (a≠0) is the inverse of itself then what is the value of a? ...

plz help me how to proceed stepwise in the following questions - 1.what is the sum of the series 12-22+32-42+...-20082+20092 2.sum of the series 1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+....upto 20 terms is ?? 3.The positive intege ...

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find the range of 'a' where 2 sinx =|x| + a has no solution . Plz give working also Ans. a>(3√3 + pi)/3 ...