Recently Active Mathematics Questions

how to find the factor of a quartic equation?? ...

a(1/b +1/c),b(1/c +1/a),c(1/a + 1/b) are in AP, then prove a,b,c are in AP. ...

Find all positive integral solutions (a,b,c) to the equation (a+1)(b+1)(c+1)=2(abc + 1) ...

If a stick is broken into two pieces at random, wats the average ratio of smaller length to the larger? ...

If a,b,c are roots of x2-3x+p=0 and c,d are rooots of x2-12x+q=0 where a,b,c,d form a GP. Prove that q+p/q-p=17/15 ...

The equation ax3 +bx2 +cx+d = 0 is known to have three distinct real roots. How many real roots are there of the equation 4(ax3 + bx2+ cx + d)(3ax + b) = (3ax2 + 2bx + c)2? ...

IN HOW MANY WAYS CAN 10 STUDENTS BE DIVIDED INTO THREE TEAMS SO THAT ONE TEAM CONTAINS 4 STUDENTS AND THE OTHER TWO TEAMS CONTAIN 3 STUDENTS EACH..... (I FORGOT THE OPTIONS, SORRY) ...

if z1=2-i,z1=1+i find magnitude of z1+z2+1/z1-z2+1 ...

In how many ways 12 different fruits can be distributed among 3 boys so each receives atleast one? just for confirmation.... ...

let N be positive integer with 1998 decimal digits all of them 1 such that n=1111.......11 Find the thousandth digit after decimall point of N ...

Q If α and β are the roots of the equation atanθ +b secθ=c find the value of tan(α+β) and cos(α+β) ...

Twenty-one girls and twenty-one boys took part in a mathematics competition. It turned out that (i) each contestant solved at most six problems, and (ii) for each pair of a girl and a boy, there was at least one problem that ...

Q Prove the following x/y+z +y/x+z +z/x+y≥3/2 x,y,z are all >0 ...

Q Prove that the blue part is equal to the yellow part It is a square and the triangles have the intersection at the mid point of the square *Image* ...

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 all positive integral solutions (a,b,c) to the equation (a+1)(b+1)(c+1)=2(abc + 1) ...

Find all positive integral solutions (a,b,c) to the equation (a+1)(b+1)(c+1)=2(abc + 1) ...

F(x)=f(x)+f(1/x),whr f(x)=∫1x logt dt/1+t Then F(e) equals? ...

Let a and b be two positive integers such that for any positive integer n, an + n divides bn + n. Prove that a = b. ...

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? ...

n is a positive integer. Prove that we cannot find an integer m and an integer r > 1 such that n(n + 1)(n + 2) = mr. ...

determine all pairs (h,s) of positive integers with the following property if one draws s horizontal lines and another s lines which satisfy 1)they r not horizontal 2)no two of them are parallel 3)no three of h+s are concurre ...

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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. ...

IF (3,2,-4) AND (9,8,-10) AND (λ,4,-6) are collinear, find the value of λ ...

If tan A=1/7 and sin B=1/ 10 where 0<A ,B<pi/2 then 2B equals?? ...

(2 3 +4)sinx+4cosx lies in the interval??? (a)(-4,4) (b)(-2 5 ,2 5 ) (c)(-2+ 5 ,2+ 5 ) (d)(-2(2+ 5 ),2(2+ 5 )) ...