Recently Active Mathematics Questions

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from the one u all hate (bindaas) find \lim_{n\rightarrow \infty}\sum_{k=1}^{n}{\frac{1}{k+n^2}} ...

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Q1 In a triangle ABC r1= 2r2= 3r3. Find a:b . Q2 In an isoceless triangle ABC one of the angle is 120° and radius of incircle is √3.What is the area of the triangle? plz post the whole solution as im getting wrong answer i ...

prove that for all integers n>1, 1/n+1+1/n+2+/n+3.....1/2n>1/2 ...

the number of bijective functions f:A->A,where A={1,2,3} such tht f(1)≠3,f(2)≠1,f(3)≠2 are----?? ...

\boxed{1} \int \frac{(a+bsinx)}{(b+asinx)^n} dx n>2 A DOUBT ...

1.find the condition that the expression ax2+2hxy+by2 may have two factors of the form (y-mx) and (my+x) respectively. ans: a+b=0 2.find the condition that ax2+2hxy+by2 and a1x2+2h1xy+b1y2 may have factors of the form (y-mx) ...

solve for x 16x+30\sqrt{1-x^2}=17\sqrt{1+x}+17\sqrt{1-x} where 0<x<1 ...

1. If \alpha \neq \beta and atan\alpha + btan\beta = (a+b) tan ((\alpha + \beta)/2) show that cos \alpha / cos \beta = a/b ...

If 1- x4 + 1- y4 = k(x2 - y2) prove that dy/dx = x 1- x4 / y 1- y4 ...

1. A function f(x) is defined so that for all real x {f(x)}n = f(nx). Prove that f(x).f'(nx) = f'(x).f(nx). ...

Evaluate lim x→∞ (ncr pr qn-r) if np = m , p+q =1 and m,r are contant. ...

\large [x].[y]=x+y\,\rightarrow all\,non\,integer\,sol.\,lies\,on\,exactly\,2\,lines\,find\,them. ...

1. if A and B are two events such that P(A∩B)=P(A) then P(A/B)=1 or P(B/A)=1?? 2. tan x dy/dx-(sec2x)y= sin x here I.F. is cot x or tan x? 3. dy/dx+y=tan x .. here I.F. is elogx?? ...

A point P moves inside a triange A(00),B(1,1/ 3 )and C(2,0) such that min(PA,PB,PC)=1,then the area bounded by the curve traced by P is: a)3 3 -3pi/2. b) 3 +pi/2 c) 3 -pi/2 d)3 3 +3pi/2 ...

especially to ppl who think they r genius ... like 1) shubomoy 2)sanchit 3)जय 4)qwerty prove : \boxed{1} \\ \texttt{{if |x| < 1 , then prove that }} \\ \\ \lim_{n\rightarrow \infty}x^n=0 \\ \\ \boxed{2}\lim_{n\rightarr ...

Suppose p(x) is a polynomial with integer coefficients. The reminder when p(x) is divided by x-1 is 1 and the remainder when p(x) divided by x-4 is 10. If r(s) is the remainder when p(x) is divided by (x-1)(x-4), find the val ...

lim x → pi/2 cos x/ (1-sin x)2 ...

Among the following which pair of quadratic equations have the same nature of roots? a) 13x2+41x+37 and 912+67x+13 b) 11x2+23x+25 and 59x2+45x+11 c) 31x2+14x+7 and 52x2+76x+31 d) all Finding out the discriminant is a tedious ...

Solve the inequality sin2x > 2 sin2x + (2- 2 ) cos2x. ...

though i posted it in 9-10th section.....but everybody is allowed to ans(except experts) *Image* in teh adjoingin fig a circle meets the triangle ABC at 6 points..... *Image* ...

Find general value of x which satsfies the equation 2sin(3x+ π/4 ) = 1+8sin2x cos22x . ...

\large find \, the\,no.\,solutions\,of\,\rightarrow \,2^{x}= x^{2}+1 see actually by drawing graph no. of sol. "seems" to be 2....but actually the ans. is 3.....( i checked it on wolfram alpha )......but i want to know how sh ...

if 1/a+1/b=1/c,and a,b,c have no common factor...then prove that a+b is a perfect square. ...

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*Image* *Image* EDITED - It indeed is " Sophomore's Dream " , as Sir has mentioned below . I actually got the result in a different way than what is done in many sites , so that ' s why I posted the quesion . ...