Recently Active Algebra Questions

sorry got it now...was really stupid doubt thanx! thread closed! ...

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Q) Find the no. of three elements sets of positive integers ( a,b,c ) such that a*b*c = 2310. Q) Find the no. of integers between 1 and 10000 with at least one 8 and at least one 9 as digits. ...

Find all such numbers that are powers of two and on removing its first digit in decimal representation gives another powers of two. [prerequisites : Nothing] ...

Quadrilaterals are formed by using the vertices of a convex polygon of 24 sides. The number of quadrilaterals having atleast one side of the quadrilateral in common with the side of the polygon is ? We can find out the total ...

*Image* Find LF - LE ???? thank you ...

what is the infinite series expansion for sec-1x? ...

I am confusing over basic probability..! Please help out...! Suppose a bag has 5 red 3 white and 2 black balls..! The probability of getting one red and one white ball is..? I am confusing over the following two things: a) 5/ ...

Let A be 2x2 matrix such that !A!=2 and B be 3x3 matrix such thatr !B!=3 and C be 4x4 matrix such that !C!=4.Then the value of *Image* ...

Please proof some of these If, a/b = c/d then prove that, >> a/b = c/d = (a + c)/(b + d) >> a/b = c/d = √(ac/bd) >> a/b = c/d = (ab + cd)/(b2 + d2) without, assuming that a/b = c/d = k and then putting the ...

If x = y = z b - c c - a a - b then, prove that, ax + by + cz = 0 ...

now no questions involving numbers like 2011 ,2010... Let a@b be defined as a@b=(a+b+ab+9)/(a+b); then ((((((......((5000@4999)@4998)@4997@......(3@2)@1) EQUALS?????? ...

shudn't d ans be 2 ? *Image* please help ...

If a, b, c and d are in G.P then prove that, (a - b)3 = a (b - c)3 d ...

How many of triangles whose vertices are chosen from the vertices of a cube are equilateral? ...

Consider f(x)=(x2-2mx-4(m2+1))(x2-4x-2m(m2+1))=0,m is not equal to 2. If f(x) =0has three different real roots,then m=???? ...

Σnk=1 k/k4+ 1/4 =? ...

If the domain of function is {-2,-1,0,1,2} and range is {-4,-3,-2,-1,0,1,2,3,4} how many increasing functions are possible that will satisfy f(n) not equal to +n or -n ? ...

Find last non-zero digit in 21!. ...

If n4+4n.then number of values of n,nEN is ...

Let a,bER and 0<a<1 and 0<b<1 if z1=-a+i,z2=-1+bi and z30 and z1,z2,z3 form an equilateral triangle then (A) (a+ 3 )(b+ 3 )=4 (B)a2-2a-2b=0 (C)(a-2)(b-2)=3 (D)a4-4(a+b)2=0. ...

Prove the following statement to be true: The polynomial p(x)=(ax2+bx+x)(ax2+dx-c),ac is not equal to zero,has exactly two roots ...

If the value of a third order determinant is 11,then the value of the square of the determinant formed by its cofactors is ?. ...

Number of quadrilaterals which can be constructed by joining the vertices of a convex polygon of 20 sides if none of the side of the polygon is alsoi the side of the quadrilateral is: ...

If f(x) has expansion f(x)=51C3(2-x)48+50C3(2-x)47+..................+47C3(2-x)43 then (A)Sum of coefficients in expansion of f(x) is 52C4 (B)Coefficient of x48 is 51C3 (C)Coefficient of x47 is -50C3 (D)Coefficient of x47 is ...

which is the best book to follow for learning c or c++ if i am a begineer & do not have any previous programming knowlegde ...

Not doubts. 1)Let f(x) = ax4 + bx3 + cx2 + dx + e where a,b,c,d,e are integer. f(1) and f(2) are odd integer.If 'n1' be the number of integral root(s) of f(x) = 0 and 'n2' be the largest two digit prime factor of C (200,100) ...

a quadratic polynomial having zeroes a,b is given by P(x) = x2 - (a + b)x + ab similarly, a cubic polynomial having zeroes a,b,c is given by P(x) = x3 - (a + b + c)x2 + (ab + bc + ac)x - abc so what bout a polynomial having z ...

If (x+y)m has 3 consecutive coefficients in A.P.,then a possible value of m(here mEN) may be equal to: ...

if SK be the perpendicular from the focus S on the tangent at any point P on the ellipse x2/a2 + y2/b2 =1, then the locus of K is...................... ...