Recently Active Mathematics Questions

prove that for all real x , y the value of x^2 + 2xy + 3y^2 -6x-2y cannot be less than -11 ( edited ) 2. solve ( x- 3 )^5 + ( x-1 )^5\geq 244 for prctc ...

if p is a prime no. show that (p-2r) ! (2r-1) ! - 1 is divisible by p. ...

let S =(1,2,3,4).THEN THE NO OF UNORDERED PAIR IN DISJOINT SUBSET OF S WILL B? ...

Prove that the value of 1/2+1/3+1/4+........... till infinite terms is not finite. ...

"Last year my age was a square number next year it will be a cube number how old am I?" Now we all know you'll be the smartass, and say the closest square and cube separated by 2 are 25 and 27, so the answer is 26. Yeah, I al ...

Let f(x) be a polynomial, such that f(x).f(1/x)=f(x)+f(1/x), and f(3)= -26. find f(x). ...

Prove that the eqn cos 2x + a sinx = 2a- 7 possesses a solution if 2≤a≤6 . ...

1) Find the least positive integral value of "k" such that it satisfies- {\begin{pmatrix} cos\frac{2 \pi}{7}\ -sin\frac{2 \pi}{7}\\ sin\frac{2 \pi}{7}\ \ cos\frac{2 \pi}{7} \end{pmatrix}}^k = \begin{pmatrix} 1 \ 0 \\ 0 \1 \en ...

If A, B are two square matrices such that AB=A and BA=B , then prove that B2=B ...

A rectangle with altitude 'x' is inscribed in a triangle ABC with base 'b' and altitude 'h' . Express the perimeter P and area S of the rectangle as functions of 'x' ...

What is the general solution to the differential eqn 100 d2y/dx2 -20 dy/dx + y =0 ...

what is the degree of the eqn x= 1+ dy/dx + 1/2! ( dy/dx )2 +............. ...

Problem 4. Let ABC be a triangle with AB = AC. The angle bisectors of angle CAB and angle ABC meet the sides BC and CA at D and E, respectively. Let K be the incentre of triangle ADC. Suppose that angle BEK = 45degree. Find a ...

∫ from 0 to pi/2 sin5x dx ...

Show that C_{0} - C_{1}\left(\frac{1+x}{1+nx} \right)+C_{2}\left( \frac{1+2x}{(1+nx)^{2}}\right)-C_{3}\left(\frac{1+3x}{(1+nx)^{3}} \right)+ ......... =0 ...

if 2 cosA=cosB+cos3A & 2 sinA=sinB-sin3B,show that sin(A-B)=±1/3 ...

1)SOLUTION SET OF (3/5)x=(x -x2-9) is? ...

if n is number greater than 3, show that n2-1 is a multiple of 24. ...

range of f(x)=cosx + cos2x is ...

cos(a+b)=4/5 &cps(a-b)=5/13 & a,b lies in b/w 0o to 45o ,find the value of tan2a. ...

prove for all real x1 and x2 (x12+x12)/2>[(x2+x2)/2]2 ...

Let f:R→R be a differentiable function such that f(x)=x2+e-x∫01 et f(t) dt q1 f(x) increases in ? q2 Value of ∫01 f(x) dx ...

If A is a non empty set, then R ⊂ A × A is said to be a relation on A. A relation R on 'A' is said to be (i) Reflexive if aRa, i.e. (a, a) ∈ R ≠a ∈ A. (ii) Symmetric if aRb then bRa i.e. if (a, b) ∈ R then (b, a) â ...

guys post all your number sequence problems in this thread... with Manmay's idea To start off... for practice P.S. the hidden part contains the answers... I) For the following find the ODD MAN OUT 1) 10,14,16,18,21,24,26 a)26 ...

∫(x-a)(x-b)(x-c).........(x-z)dx is equal to 1. constant 2.5c+5d+x 3.0 4.none of these ...

Let N=\left\{1,2,3...n \right\} be a set of elements called voters. Given that S \amalg N means S is a subset of the set N. Let \C=\left\{S:S\amalg N \right\} be the set of all subsets of N. Members of C are called coalitions ...

In normalized floting point representation 0.8642E02 \div 0.2562E02 gives : how to do this ?? ab ye kaunse chapter se related hai... Pehle bar aisa question dekh raha hun ...

we are allowed to exchange any 2 rows and any 2 coloumns of a 8x8 chessboard whose squares are alternately painted black and white in the usual manner.By a sequence of such changes, can we obtain a board whose left half is bl ...

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dbt How many non-similar trinagles can be constructed whose vertices are vertices of a 1) 21-sided regular polygon? 2) regular n-gon ? PS - I don't know if this is the r8 forum for this, coz it may not be a JEE problem as suc ...