Recently Active Mathematics Questions

Let s1, s2, s3 be 3 tangent spheres each with each. These spheres are placed on a table, and their radii are 1,2,3 respectively. A plane tangent to all these spheres is considered. What is the angle made by this plane with th ...

We consider graphs with vertices colored black or white. "Switching" a vertex means: coloring it black if it was formerly white, and coloring it white if it was formerly black. Consider a finite graph with all vertices colore ...

If f(x)= x3 + ax2 + bx +c attains its local minima at certain negative real number , then then the signs of a2-3b , a , b respectively are a. + - - b.+ - + c. + + - d. + + + ...

If x1 and x2 are the solutions of ex2(sinx+cos x)=1/2 , where x1 ,x2≠0 , then the maximum number of the solutions of the equation ex2(sin x-cos x)=x lying between x1 and x2 can be a.2 b.0 c.1 d.none of these please give a s ...

prove that 72!/36!-1 is divisible by 73. ...

find limit n→∞ cos(x/2) X cos(x/4) X cos(x/8)..............cos(x/2n) if f(x)= (1+2cosx)(1+2cos2x)(1+2cos4x)........(1+2cos32x) find f(2pi/13) ...

An artillery target may be either at point I with probability 8/9 at point II with probability 1/9 .We have 21 shells,each of which can be fired either at point I or at point II .Each shell may hit the target,independently of ...

wat is the minimum value of 'a' such that the function f given by f(x)=x2+ax+1 is strictly increasing on (1,2) ...

Solve them quickly please--- 1.If f(x)=1+x2 and f[g(x)]=1+x2-2x3+x4,then determine the function g(x) alongwith its domain and range. 2.Let f:{x,y,z}-->{a,b,c} be a one-one function.It is known that only one of teh followin ...

The ends of a rod of length l moves on 2 mutually perpendicular lines.Find the locus of the point on the rod which divides it in the ratio 2:1. ...

This is a problem which for some strange reason is going unanswered in another forum(there's one guy who has promised to come back with a solution though): If a,b,c≠±1, and a+b+c = abc, prove that we also have A+B+C = ABC ...

2 points P(a.0) amd Q(-a,0) are given and R is variable point on 1 side of the line PQ such that <RPQ - <RQP is a positive constant 2θ.Show that the locus of R is --- x2-y2±2xy cot 2θ - a2 =0 ...

A coin is tossed m+n times .Find the probability of getting atleast m consecutive heads. ...

f: R→S defined by f(x)=sinx-√3 cosx+1 is onto the interval of S is.... ...

Given six real numbers a,b c,x y,z , , such that 0<b-c<a<b+c and ax+by+cz=0. What is the sign of the sum ayz+bzx+cxy ? o promise u if u really try this question sincerely , you are bound to learn a new concept ...

Solve :- \int \left(a-x \right)\left(b-x \right)\left(c-x \right)...............\left(z-x \right)dx ...

f(x)=(sin3x + Asin2x +Bsinx) / x^5 (x is not equal to 0) is continuous at x=0. Without using L-Hospital or Series expansion, Find A and B ...

find the sum: 1/2n \sum_{}^{}{} tan \pi /2n=? (limit is 2 to infinity) ans-1/ \pi ...

A: The equation (log x)2-log x3 +2=0 has only one solution R: log x2=2log x if x>0 ...

Please give a detailed difference between Injective and surjective function. ...

*Image* ...

If sin(C+A)/sin(C+B)= sinA/ sinB prove thattan^2C=tanA*tanB ...

1.the no. of total terms in the expansion of (3x-2y)^{7}[1/x+1/y]^{8} ...

Prove that in every triangle we have: ma*mb>=ra*rb*rc. ma is length of median drawn from A, same is mb. ra= exradius of A ...

lim ( (sin x)1/x +(1/x)sin x)=? x \rightarrow 0 ...

\sum_{r=0}^{n-1}{}\sum_{j=1}^{n-r}{} (n-j)Cr=? a.1 b. 2^{n} c. 2^{n}-1 d. 2^{n-1} ...

discuss the continuity of the following function...... f(x)=(sinx).(tanx).(cosx) sinx - 0 ≤ x ≤ π/4 tanx - π/4 < x ≤ 3π/4 cosx - 3π/4< x ≤ π pls help................. with solutions abt how u did it !!! pls ...

x = sin2t / cos 2t y= cos2t / cos 2t find the value of the product of the cube of y and the second derivative of y wrt x ...

lim x->2(-1)[x] where [x] is the greatest integer fn. is = A. 1 B. -1 C. +-1 D. none of these ...

Is there a sequence of positive integers in which every positive integer occurs exactly once and for every k = 1, 2, 3, . . . the sum of the first k terms is divisible by k? ...