Recently Active Mathematics Questions

*Image* The diagram shows the graph of the derivative of a function y=f(x) for 0<=x<=5 with f(0)=0. ∫f(x)dx= [limits from 0 to 1] a.-21/20 b.21/20 c.-1 d.none of these Sir u said option b or d must be correct out of d ...

What is the remainder 709! is divided by 719? ...

Limn→ ∞ [ n2 . ∫ ( tan-1 nx)/( sin-1 nx) dx Integration upper limit:- ( 1/n ) Integration lower limit:- { (1+ n ) / n } ...

If you flip a fair coin ten times, what is the probability there will be at least one sequence of three consecutive heads or three consecutive tails? ...

There are two drawers in each of three boxes that are identical in appearance. The first box contains a gold coin in each drawer, the second contains a silver in each drawer, but the third contains a gold in one drawer and a ...

P.T for any function f(x) and g(x) integrable on the interval (a,b).. \int_{a}^{b}f(x)g(x)dx\leq \sqrt{\int_{a}^{b}f^{2}(x)dx\int_{a}^{b}g^{2}(x)dx} ...

For an expression x2 - 5x + 6 = (x + a)(x + b), then ...

\hspace{-16}$Determine all pairs $\bf{(a, b)}$ of natural numbers, for which the number\\\\ of $ \bf{a ^ 3 + 6ab + 1} $ and $ \bf{b ^ 3 + 6ab + 1}$ are cubes of natural numbers. ...

f(x) = ∫ 1-sin(2x) then f(Π/4) = ? will it be 2 or 0. because in the sheet that you gave the answer given at the back is (cosx + sinx)sgn(cosx-sinx)+c ...

\hspace{-16}$Calculation of real values of $\bf{(a,b,c)}$ such that $\bf{x^3-ax^2+bx-c =0}$\\\\ has a roots $\bf{a\;,b}$ and $\bf{c.}$ ...

\bf{\int\frac{1}{(x^2-x+1)\sqrt{x^2+x+1}}dx} ...

\hspace{-16}$factors of $\bf{a(b-c)^3+b(c-a)^3+c(a-b)^3}$ ...

∫ dx/sec2x + tan2x ...

It is given that a1=1 and an=n(an-1+1). Define a sequence pn as pn=(1+ 1/a1 )(1+ 1/a2 )...(1+ 1/an ). Find lim(n→∞)pn. ...

Form the differential equation corresponding to y2-2ay+x2=a2 ...

if f(xy)=f(x)f(y) for all x and y and f(x)is continuous at x=1 ,prove that f(x)is continuous at all non zero x. ...

1. According to Euclid, a line is bounded by _________________ a. Points b. Surfaces c. Both d. None of these ...

1)If B, C be two points lying on the line joining A and D, between A and D, then a. AB = BD b. BC = CD c. AC = CD d. AC = AB how? ...

√3-√4/√3+√4-√7 ...

4 persons r selected at random out of 3 men , 2 women, and 4 children. The probability that there r exactly 2 children in the selection is..??? ...

150 workers were engaged to finish a piece of work in a certain no. of days. four workers dropped the second day, 4 more workers dropped the third day and so on.....it takes 8 more days to finish the work now.. find the no. o ...

If (0,0),(a,11) and (b,37) are points of a equilateral triangle.....Find ab? ...

If Im,n = ∫cosmx.sin(nx).dx, then find 7I4,3 - 4I3,2. ...

Among all cyclic quadrilaterals inscribed in a circle of radius R with one of its angles equal to 120°, consider the one with maximum possible area. Its area is: (a) √2R2 (b) 2R2 (c) √3R2 (d) 2√3R2 ...

if a1,a2,........,an+1 arev in ap,then 1/a1a2 + 1/a2a3 +...... 1/anan+1 is.....?????? ...

If the work done by (x-2)men in (x+2)days to the work done by (x+3)men in (x-2)days is 15:16 then x is.... ...

the maximum sum of the series 20+19 1/3 +18 2/3 +18+...is...?? how 2 find it....??? ...

The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m, 85 cm, 12 m 95 cm is??? ...

Given a polynomial of n degree such that f(x)+f(1/x)=f(x)*f(1/x) Find the polynomial ...

\hspace{-16}$Solution for real $\bf{\left(a\;,b\;,c\right)}$ in \\\\ $\bf{[a]+c\{c\}-b\{b\}=0.16}$\\\\ $\bf{b+a\{a\}-c\{c\} = 0.25}$\\\\ $\bf{c[c]+b\{b\}-a\{a\} = 0.49}$\\\\ Where $\bf{[x] =}$ Integer part of $\bf{x}$\\\\ and ...