Recently Active Mathematics Questions

*Image* correction: independent of lamda ...

$Q:$\Rightarrow$ There are 4 machines & it is known that exactly 2 of them are faulty. They are tested, one by one, in a random order till both the faulty machines are identified . Then the probability that only 2 tests are n ...

Two circles touch externally at P and AB is a common tangent to the circles. Then LAPB is equal to ....... (A) 300 (B) 450 (C) 600 (D) 900 ...

f(x)=cos x/{[2x/pi]+0.5} where x≠integral multiple of pi,[.]=greatest integer function is f(x) even/odd/neither ...

please prove the following a3 sin(B-C) + b3sin (C-A) + c3 sin (A-B) = 0 ...

*Image* In the above figure we see four line segments intersecting at A,B,C and D respectively. LA = 900, LC = 900. Surely, LB = LD = 900. So how can we prove it theoretically...! Practically its true and obvious but can that ...

Let p(n) denote the number of ways in which n can be written as a sum of positive integers. (order of the summands being irrelevant). prove that p(5k+4)≡0 (mod 5) where k is any positive integer. ...

if a denotes the number of permutations of (x+2) things taken all at a time,b the number of permutations of x things taken 11 at a time and c the number of permutations of (x-11) things taken all at a time such that a=182bc, ...

Q1) How many real solutions of the following equation are possible:6x2+77[x]+147=0 where [x] is Greatest Integer Function of x . ...

consider a m*n matrix what do we mean when we say m and n have same parity? ...

consider a m*n matrix what do we mean when we say m and n have same parity? ...

if f(x)=√(x-m+1), for x in [m-1,m), m=integer,then evaluate *Image* where n=natural number. ...

Which mathematics book(s) are best for concept clearance for IIT-JEE which explains every topic from the zero level ? ...

$Calculate $\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\frac{cosx-xsinx}{x^2+cos^2x}dx$ ...

$Determine a positive integer $n$ for which \\\\ $\underbrace{\sqrt{6+3\sqrt{2+\sqrt{2+\sqrt{2........+\sqrt{2}}}}}}_{(n)-times}=2\left \{ sin(\frac{35\pi}{96})+cos(\frac{19\pi}{96}) \right \} ...

prove *Image* ...

let z , w be complex nos. such that z + i ( conjugate of w ) = 0 and zw = pi . Then find arg z.. ...

Evaluate: \lim_{n\to\infty}\dfrac{1}{n}\sum_{k=1}^n\left(\left[\dfrac{2n}{k}\right]-2\left[\dfrac{n}{k}\right]\right) Here [x] represents the greatest integer less than or equal to . ...

find minimum value of f(X)=(X+A)(X+B)/(X+C) SUCH THAT X>-C,A>C,B>C ...

1.equation 2 sin x+3 cos x=10 has infinitely many roots. true/false 2.solutions of √sin x = 1/3 and sin x =1/9 are same.true/false plz give some explanation for ur answers too! ...

$(1) Find \underline{\underline{Least value}} in each cases:\\\\ (i) $3\sqrt{x^2+y^2}+4\sqrt{(x-3)^2+(y-4)^2}$\\\\ (ii) $\sqrt{x^2+y^2}+\sqrt{(x-1)^2+y^2}+\sqrt{x^2+(y-1)^2}+\sqrt{(x-3)^2+(y-4)^2}$\\\\ (iii) $\sqrt{(x-1)^2+(y ...

$The no. of Real roots of the equation $x^6-x^5+x^4-x^3+x^2-x+\frac{3}{4}=0$ ...

Q1) How many real solutions of the following equation are possible: 6x2+77[x]+147=0 where [x] is GIF. q2) If {x} and [x] are fractional and integral part of a real no. x ,then solve [2x]-[x+1]=2x. ...

Can someone tell me, why the volume of a cone is 1/3∩r2h (i.e., 1/3 times the volume of a cylinder) ? ...

(-3,5), (3,1), (0,3) and (-1, -4) donot form a quadrilateral. ...

this is a question from M.spivak *Image* ...

*Image* please solve this ...

If x + 1/y = y + 1/z = z + 1/x then prove that, xyz = x3 = y3 = z3 in simple way... please someone..! ...

A polynomial p(x) when divided by (x-1), leaves the remainder 2, the same polynomial when divided by x-3, leaves the remainder 1. If same polynomial is divided by (x-1)(x-3) what will be remainder? ...

This question was asked in FTRE (fiitjee talent reward exam) I was in muddle for sometime..... Someone check...! *Image* ...