Recently Active Mathematics Questions

It is given that : f(x+2)-5f(x+1)+6f(x)=0 Find f(x) ?????????????? ...

the circles (x-a)^2 +(y-b)^2 =c^2 and (x-b)^2 +(y-a)^2 =c^2 touch each other....then a=____ ...

If point(x,y) is called a lattice point if x,y belong to set of integers.Then total number of lattice points in the interior of circle x^2 +y^2= a^2 :a not equal to zero , are............ ...

The values of @ for which x^2 +y^2 +6x+5 +@(x^2 +y^2 -8x +7)=0 dwindles into a point is ........... ...

find sum *Image* ...

if in ΔABC, A=1200, b-c = 3 3 & area of ΔABC = 9 3 /2, a,b,c are sides of ΔABC. then a = ??.. ...

try to Prove Cosec (180/7) = Cosec(360/7) + Cosec(540/7) (Not very easy... but then not very tough either) ...

Let S be a square of unit area. Consider any quadrilateral which has one vertex on each side of S. If a,b,c,d, denote length of sides of the quadrilateral. prove that 2≤a2+b2+c2+d2≤4. ..........[IIT 97] Plz anyone reply h ...

sin(inverse) of log(x) + cos(inverse) of log(x)= ??????? be sure its a tricky que.. A pie/2 B pie C 2pie D cant be predicted ...

In a troop of 2008, 12 are on patrol duty every night. prove that it is impossible to draw up a schedule according to which every two are on duty exactly once ...

If a chord of the circle x^2 +y^2 =6 makes equal interccepts of length a on the axes then modulus(a)<=.............. ...

If a varible circle touches externally two given circles,then locus of variable circle is.................. ...

*Image* ...

If y(x)= *Image* then the value of dy/dx at x=Î is ...

represent z and wz on argand plane ......................where w=omega=cube root of unity ...

find a complex number satisfying modulus(z-5i)=4 and having least argument ...

Let z be a complex number .Then angle between z and -iz=.......... ...

-8-6i = ...

Integrate 2[x] between 3 - 6 there why do we have split the range ??? Why do we not do this for other functions in general.. like sinx or cosx or any other function? When do we split the range... anyone with a ...

if primitive of t2dt from 0 to any f(x) is xcosx, then find f'(9)!!!!!!!!! ...

let n>=2 be a fixed integers. f(x) be a bounded function definned in f:(0,a)->R satisfying f(x)=1/n2r=0 Σ(n-1)a f((x+r)/n) ... then f(x) = a) -f(x) b) 2f(x) c) f(2x) d) nf(x) ...

Find primitive of 3x4-1/(x4+x+1)2 wrt x!!!!!!!!! ...

*Image* where [.] denotes the greatest integer function. ...

Let ƒ and g be real valued functions defined on interval (–1, 1) such that g′′(x) is continuous, g(0) ≠0, g′(0) = 0, g′′(0) ≠0, and ƒ(x) = g(x) sin x. STATEMENT - 1 lim x→0 [g(x) cot x – g(0) cos ...

Suppose f,f' and f" are continuous functions is [0,e] and that f'(e)=f(e)=f(1)=1 and the intergral of f(x)/x2 from o to e is 1/2, then the value of the integral f"(x)lnxdx from o to e is??& ...

find the primitive of dx/(1+x3+√{1+x6}) with the limits extending from -1 to +1!!!!!!!!!! ...

if in a triangle ABC ,the line joinning circumcentre & incentre is parallel to BC then cosB + cosC = ???...(numerical constant)..... ...

in ΔABC (a-b)(s-c) = (b-c)(s-a), then r1,r2,r3 are in (a) AP (b) GP (c) HP (d) none ...

Evaluate lim [x 2 / sin2x. cos x ] , where [ ]denotes the greatest integer functin x→0 ...

0 ∫ (logx)/(x2+a2) dx ∞ a>0 ...