Recently Active Mathematics Questions

Plz help me on this one............ ∫(sinθ-cosθ)dθ/{(Sinθ+cosθ) (sinθcosθ+sin2θcos2θ)}= cosec-1{f(θ)}+c then f(θ)=???? ...

find the domain and range of function f(x)= 2x+2y =2 ...

Not a dbt. In triangle ABC, BC is of unit length. Given sin\frac{A}{2}=x_1 , sin\frac{B}{2}=x_2 , cos \frac{B}{2}=x_4 & cos \frac{A}{2}=x_3 . Also Given that \left(\frac{x_1}{x_2} \right)^{2007}=\left(\frac{x_3}{x_4} \right)^ ...

If a,b,c are in H.P. and n>1 , then show that an+cn > 2bn. ...

Let a_0 = a_1 = 1 and a_{n+1} = 1 + \frac{a_1^2}{a_0} + \frac{a_2^2}{a_1} + ...+ \frac{a_n^2}{a_{n-1}} Find a closed formula for an (i.e. express an as a function of n) ...

2n points are chosen on a circle. In how many ways can one join pairs of points by non-intersecting chords? ...

Solve tan-1+ 2cot-1x=2Ï€/3 ...

*Image* <RSB=Xo <SAR=Yo AB=18 SR=5 FROM THE ADJIONING FIGURE ,FIND : i) tan xo ii) sin yo iii) cos yo ...

a plane with parallal straight lines with separation 2a is spread till infinity,a needle of length 2l (2l<2a) is thrown here at random find the probability of the needle to hit one of the line ...

1. Give the continued fractions expansions of a = d2±1 , d element of Z 2. Determine the least positive solution of x2 − ny2 = 1, where n = d2 + 2 ...

Why is a^0 = 1 ?? Where a is any number. ...

Three numbers are chosen at random from 1 to 20. The probability that they are consecutive is ...

Fifteen boys are standing on a field, and each of them has a ball. No two distances between two of the boys are equal. Each boy throws his ball to the boy standing closest to him. (a) Show that one of the boys does not get an ...

If x,y,z are in H.P,prove that log(x+z)+log(x+z-2y)=2log(x-z). ...

prove that 32n+7 is a multiple of 8 ...

Find th eq. of the locus of the point which moves such that its distance frm x-y+1+0 is twice its distance from x+y+6=0. ...

Sketch following functions *Image* ...

Find the sum of 2+5+10+17+26+.......to n terms. ...

1) Suppose that x1,x2....xn are reals. Given xi=-xn-i+1 S=ΣΣΣxixjxk summation is over all distinct i,j,k belonging to [1,n] Find S. 2) Consider the smallest number in each of the subsets of size r of the set X={1,2,3,4,5.. ...

Find the equation of the bisector of the angle between 4x+y-7=0 and x-4y+3=0 which contains the origin. ...

solve the equation @=tan-1 (2tan2@) - 1/2 sin-1(3sin2@)/(5+4cos2@) ...

the portion of a line intercepted between the co-ordination axes is bisected at (3,-2) find the equation of the line. ...

Solve: (cosx)sin2x - (3/2)sinx + 1/2 = 1 ...

IF ef(X)=10+x/10-x, x belongs to (-10.10) and f(x)=k f[200x/100+x2] ,then find k. ...

IF a2x4 + b2y4=c6 then max value of xy is ...

Prove that there exists an irrational r for every natural number k(>=2) such that [rm]≡-1mod(k) for every natural number m. Here [x] is the greatest integer less than or equal to x. ...

A has n distinct elements.find no. of distinct functions from A to A i m getting answer as nn.is it correct?? ...

\sum_{n= 1}^{n=\infty }{}\frac{1}{\left\{(2n- 1 )^2- ( 2m ) ^2 \right\}^2} 2. \sum_{n=1}^{n= \infty}{\frac{1}{n( 36n^2-1)}} 3. \sum_{n=1}^{n= \infty}{\frac{1}{n( 9n^2-1)}} ...

Cosec x - Sin x =m Sec x - Cos x =n Please Solve It In Detail !! ...

Prove that sin 10°.sin 30°.sin 50°.sin 70°=1/16 ...