Recently Active Mathematics Questions

if a force is applied to top of a cube from one side of lngth L with mass m and frictn co-eff btwn floor and cube surface is φ find the minimum force to turn the cube the other side without allowing cube to slip ...

if Σn=55 , then Σn2= ...

\hspace{-16}\bf{\int_{0}^{1}x^{2012}.(1-x)^{2012}dx} ...

\hspace{-16}\bf{\int_{0}^{1}\frac{x(x+1).e^x}{x+1+e^x}dx} ...

\hspace{-16}\bf{\int_{-3}^{3}x^8.\left\{x^{11}\right\}dx=}$\\\\\\ Where $\bf{\{x\}=}$ Fractional Part function......... ...

how to solve foll integration please give detail soln ::; 1)) ∫ dx 4sin2x+4sinxcosx+5cos2x if xε(-Π/2,Π/2) 2))x ∫ 2t dt 0 2[t] x>0 [] is g.i.f ...

integer type::::: 1) let f(x)=k/2009 and g(x)= f4(k) (1-f(k))4 + (f(k))4 then sum of digits in the value of *Image* is 2) if S=1/2+1/6(12+22)+1/12(12+22+32)+.............+ 1/3660(12+22+32+................602) then sum of digi ...

Question: f(x)=(2x-∩)3 +2x - cosx. Then the value of |f'(f-1(x))| at x=∩ is _______? answer: 1/3 I think drawing the graph is only way. Any accurate and easier solution please tell me. (SOURCE: ARIHANT) ...

for the principal value of sin-1(sin5)+cos-1(cos6)+tan-1(tan7)=k-2Ï€ find the integral value of k it is silly b ut its a doubt...... ...

Let x={a1,a2,a3,......,a6} and y={b1,b2,b3}. Then number of functions f from x to y such that it is onto and there are exactly three elements in x such that f(x) =b1, is a) 75 b) 90 c) 100 d) 120 Ans: (d) Please explain how t ...

let [x] denote the greatest integer less than (or) equal to x. If f(x)=[x sin (pi*x)] then f(x) is a) cont. at x=0 b) cont. in (-1,0) c) diffn. at x=1 d) diffn in (-1,1) e) none of these ans: a,b,d ...

1) If the curves ax2 + 4xy + 2y2 + x + y + 5 = 0 and ax2 + 6xy + 5y2 + 2x + 3y + 8 = 0 intersect at four concyclic points, then the value of |a| is... 2) For 0 < x < pi/2 the solution of \sum_{m=1}^{6}{} cosec {x + (m - ...

\lim_{n->infinity}(\sum_{r=1}^{m}{r^{n}})^{1/n} is equal to: (n belongs to Natural nos.) a) m b) m/2 c)em d)em/2 Ans: (a) please tell me the method to solve this..... (SOURCE ARIHANT DIFF CALC.) ...

The vertices of a triangle ABC lies on a rectangular hyperbola such that the orthocentre of the triangle is (3,2) and the asymptotes of the rectangular hyperbola are parallel to the coordinate axis. if the two perpendicular t ...

Guys having a problem to find the equation of the line of shortest distance between 2 skew lines. take for an example between ........ x+4/4 = y-2/-2 = z-3/0 and x-5/5 = y-3/3 = z/0 please show the working.......(ans- x/0 = y ...

A ...

If a , b and c are angles in triangle such cot a + cot b + cot c = √3 prove that abc is an equalitial triangle. ...

1. *Image* 2. Let Points P,Q correspond to the complex numbers a,b in the complex plane. If |a| = 4 and 4a2-2ab+b2 = 0 , then the area of the triangle OPQ, (O = Origin) is : ...

Let z=a(cos π/5 + isin π/5), a∈r, | a | ≤1. Then z2010 +z2011............. equals? a) z2010/1-a b) a2010/1-a c) za2010/1-z d) a2010/1-z ...

The sum of roots of the equation x + 1 - 2 log2 (2x + 3) + 2 log4 (10 - 2-x) = 0 is a) log211 b) log212 c) log213 d) log214 ...

plz give some short method for the following type quest. . Q1 - find the sum of all the numbers greater then 10000 formed with digits 0,2,4,6,8. no digit being repeated. Q 2 -whats the ans for this : how many numbers are divi ...

\hspace{-16}$Calculate $\mathbf{\int_{0}^{1}x^{2012}.(x^2-1)^5dx}$ ...

1. The no. of tangents to the curve y = cos(x+y) , |x| ≤ 2Π, that are parallel to the line x+2y=0 is ? 2. If 2008θ=Π, and 2 .\sum_{r=1}^{r=n} \sin(r\theta)\cos(r^2\theta) is an INTEGER , then find the least integral n ? ...

Find solution set of logx2 . log2x2 =log4x2 ...

'a' and 'b' are integers. Solve 2(a2-b)=b2-a ...

∫03 (x2+1)d([x]). [.]→ G.I.F. ...

Let f(x)=x (| x- π|) (2 + cos2x), x∈R. Then the function f: R→R is A) one - one but not onto B) onto but not one one C) both one-one and onto D) neither one one nor onto ...

Let f(x)=x (| x- π|) (2 + cos2x), x∈R. Then the function f: R→R is A) one - one but not onto B) onto but not one one C) both one-one and onto D) neither one one nor onto ...

will anyone explain me the limit of sequence? ...

A problem of statistics is given to 3 students A,B & C whose chances of solving it are 1/2,1/3 & 1/4 respectively.what is the probability that the problem is solved? The answer is given 3/4 ...