Recently Active Mathematics Questions

Three non-zero real numbers a,b,c are said to be in H.P. if 1/a + 1/c = 2/b. Find all three-term H.P. a,b,c of strictly increasing positive integers in which a = 20 and b divides c. ...

Find the number of all integer-sided isosceles obtuse-angled triangles with perimeter 2008. ...

Find the number of all 6-digit natural numbers such that the sum of their digits is 10 and each of the digits 0,1,2,3 occurs at least once in them. ...

ltn→∞ {x} +{2x} +{3x} +.....+{nx}/ n2 {where x denotes the fractional part of x} ...

if A>0, B>0, and A+B = pi/3, then what is the maximum value of tanA.tanB ?? ...

If 3 sinx +4 cos ax = 7 has atleast one solution, then 'a' has to be necessarily a : - 1. odd integer 2. even integer 3. rational number 4. irrational number ...

Show that the midpoint of three diagonals of acomplete quadrilateral are collinear. ...

P.T . n4 + 4n is not a prime , for all integral values of n. ...

soln of equation mod z - z =1 + 2i it seeeems easy quadratic type i replaced z by √x2 + y2 z by x + yi . but it seeems lil dufficult . answer is x = 3/2 y = -2 can witout quad this b solved >>>>>& ...

lim (cos1/2x - cos1/3x)/sin2x x→0 ...

A five digit number is formed by using digits 1,2,3,4,5 without repetition.Find the number of the numbers,thus formed which are divisible by 4. ...

Prove Sin(a+b)=sin(a)cos(b)+cos(a)sin(b) ...

let f(x)=x2-1,x≤1 nd f(x)=k(x-1),x>1 then a)f is continuous for only finitely many values of k b)f is discontinuous at x=1 c)f is differentiable only when k=2 d)there r infinitely many values of k for whi ...

given a parabola as: x=at2+bt+c and y=a't2+b't+c'. ..........so find the latus rectum..??? (this is objective question.. i dun have the options r8 now... so, sorry.) ...

A cricket eleven has to be chosen from 15 players of whom 6 can bowl and 3 keep wickets,while none of them can keep wicket and bowl.In how many ways can this be done if it is to contain at least 4 bowlers and 2 wicketkeepers ...

1/2+1/3+1/4.....+1/n is never an integer.. prove Hint: think of the largest prime! ...

diff tan-1[{√(1+x2)-1}/x] wrt tan[-1(2x√(1-x2)/(1-2x2)] at x=0... ...

Fiind area of the region: *Image* ...

How many 7 digit numbers are there,divisible by 8 which are formed by writing the digits 1,2,3,4,5,6,7(repetition not allowed) ...

Suppose we have three different toys and we want to give them away to 2 girls and 1 boy(one toy per child).The children will be selected from 4 boys and 6 girls.In how many ways this can be done???? ...

lim ( 1- sin2x )/Î - 4x x->Î /4 ...

Why sin4x+cos4x has period Î /2 although f(x+Î )=f(x) ...

graph of-- y= [ln2(t3+1)]t2/(t3+1) ...

1.) stat1: the function f(x)=(x2+x-2)(x2+2x-3) has local extremum at x=1. stat2: f(x)is continuous and differentiable and f'(1)=0. plz answer... i hope all of u here are familiar wid the options of asertion-re ...

limit [(1+x)^1/x + e(x-1) ]/sin^-1(x) x→0 ...

pls sum the series........ 1(2+3+4+....+n) + 2(3+4+5+..........n) + 3(4+5+6+.............n) +.............+ (n-1)n ...

∫1/(sin^2x+sinx+1) itz sin square x +sinx+1 m tryin it since an hr or two ...............:( ...

if d area of d triangle inscribed in d parabola y=4ax wid one vertex @ d origin of d parabola and othr two vertices at d xtremities ofd focal chord is 5a^2/2 then d elngt of d focal chord is i tried by takin dat point as ...

Can any one pls explain me A.G.P formula.............. does it have just one formula? ...

Show dat there is no real constant c>0 such dat cos√(x+c)=cos√x for real no.s x ≥ 0. ...