Recently Active Algebra Questions

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A differentiable function satisfies f'(x)=f(x)+2ex with initial conditions f(0) =0. The area enclosed by f(x) and the x axis is____ ...

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Equation of mirror image of parabola y2=4ax in the line x-y+2=0 i think this pbm can be solved by FP/PM=1 Fis focus and P is the pt M is the perpendiculat distance from the directrix but i dont know how to find the directrix ...

prove that for all x,y εR x2 - 2 x y + 3 y2- 6x - 2y ≥ -11 . ...

How many digits are there in 264. ...

[5x-7y]2+[5y-7z]2+[5z-7x]2 the maximum value of the above expression where[] denotes modulus and x y z are unit vectors i am sorry for confusing u all i have edited it once again ...

please explain me baye's theorem for the problem There are three boxes B1,B2,B3 Box B1 contains 2 gold coins,B2 contains 2 silver coins and B3 contains one gold and one silver coin.A box is chosen at random and then a coi ...

how many rectangles r possible in a chess board ...

1. If N= 2+22+222+.... upto 30000 terms then find (a) last three digits of N (b)last four digits of N (c)last digit of N 2. (2)(2) + (4)(4) +(7)(8) +(11)(16) + (16)(32) + .......... Find the sum to n terms of the series 3. Su ...

let S1,S2.... be squares such that for each n>or=1, the length of a side of Sn equals the length of a diagonal of Sn+1 . If the length of a side of S1 is 10cm , then for which of the following values of n is the area of sn ...

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1)In a certain test, there are n questions .In the test 2n-1 students gave wrong answers to atleast i questions, where i=1,2,3,....n. If the total number of wrong answers given is 2047, then find the value of n. 2)A person go ...

Two distinct, real, infinite GP each have a sum to infinite no of terms=1 and have common second term and of the series have 1/8 as their third term. If the second term of both the GPs can be written in the form ( m - n)/p wh ...

pls ans dis ques A man has to take 9 steps. he can move in 4 directions left, right, forward, backward. 1. in how many ways he can move 9 steps?? 2. in how many ways he can move 9 steps such that he has to take steps in all d ...

If n is a natural number and a multiple of 3 such that *Image* ...

Prove that 3b2+6ac≤(a+b+c)2 if a≥b≥c ...

If n is a prime number which will divide neither a,b nor a+b prove that: an-2b-an-3b2+an-4b3......+abn-2 exceeds by 1 a multiple of n. ...

the integer just less than (2+√3)5 ...

A computer solved several problems in succession. The time it took the computer to solve each successive problem was the same number of times smaller than the time it took for the preceding problem. How many problems were sug ...

the integer just grater than (√3+1)^6 ...

g(x) = x5 + x4 + x3 + x2 +x +1 wats the remainder wen the polynomial g(x12) is divided by the polynomial g(x) ? a) 6 b) 5 - x c) 4- x - x2 d) 3 - x + x2 - x3 ...

Given that n4<10n for a fixed positive integer n≥2, then prove that (n+1)4<10n+1 ...

If a1's are all +ve real numbers then prove that: (1+a1+a12)(1+a2+a22).........((1+an+an2)≥3na1a2..........an ...

Find the term independent of x in the expansion of (x2/3+4x1/3+4)5 . [1/(x1/3-1) + 1/(x2/3+x1/3+1)]-9 ...

If α and β are roots of z +1/z =2(cosθ+isinθ) ,0<θ<π then show that mod(α-i)=mod(β-1) ...

if a1,a2,a3,....,an are +ve real nos whose product is a fixed real no. 'c', then the minimum value of a1+a2+a3+......+2an-1 + 2an is -- a) n(4c)1/n b) (n+1) c 1/n c) 2nc1/n d) (n+1)(2c)1/n ...

fund the condition such that (2x-1)/(2x3+3x2+x)>0 ...

if a,b >0 satisfy a3+b3=a-b , then.. a) a2+b2=1 b) a2+b2>1 c) a2+b2+ab < 1 d) not. ...