Recently Active Mathematics Questions

find all positive integer value of n and r that satisfy the equation C(n , r) = 2010.. (hsbhatt sir how can i solve these tupe of question). ...

1)what is the solution of inequality|x+1/x| <4 2)the solution of 2x + 2|x| ≥ 2√2 is: ...

1.if \vec{a} \times \vec{b} = \vec{c} \times \vec{d} and \vec{a} \times \vec{c} = \vec{b} \times \vec{d} then prove that (\vec{a} -\vec{d})\left| \right| (\vec{b}-\vec{c}) . 2.A line makes \alpha ,\beta ,\gamma and \delta wit ...

Find all functions f: \mathbb{R}^+ \rightarrow \mathbb{R} , such that whenever x,y \in \mathbb{R}^+ , f(x+y) = f(x^2+y^2) [Note, no conditions of continuity, differentiability are given] ...

f(x) = [x]cos( 2x-1/2 ) pie , where [] is greatest integer is discontinuous at ?????????????? a) all x b) all integer points c) no x d) x which is not an integer e) at all I+ f) at all I- g) at (n)pie h) at (n-1)pie ...

THE EQUATION OF THE WICTH OF AGNESI CURVE IS:- y=8a3/ x2 + 4a2 or y=8a3 / x3 + 4a2 in another site i saw it as the first equation... bt in a sum of the integral calculas book of arihant the latter equation is given... or is i ...

1) If f : R→R is a continuous and differentiable function such that \int_{-1}^{x}{f(t)dt} + f'''(3) \int_{x}^{0}{dt} = \int_{1}^{x}{t^{3}dt} - f'(1) \int_{x}^{2}{t^{2}dt} + f''(2) \int_{3}^{x}{tdt} , then find the value of ...

f((x+y)/2)= A.M of f(x) and f(y).. if f'(0) exists and f'(0) = -1 and f(0) = 1 then f(2) =? ...

If a funcn. f(x) is bijective in [a,b] , then prove that integral a to b f(x) dx + integral f(a) to f(b) inverse of f(x) dx = b f(b) - a f(a) ...

If a,b ,c,d and p are different real numbers such that :(a2+b2+c2)p2-2(ab+bc+cd)p+(b2+c2+d2)≤0, then show that a,b,c and d are in G.P ...

If the pair of lines x^2 - 2pxy - y^2=0 and x^2 - 2qxy - y^2=0 are such that each pair bisects the angle between the other pair, then pq equals.? The solution is The second pair must be identical with x^2 - y^2/1-(-1) =xy/-p ...

plz suggest me sum goodbok fr doin functions nd calculus fr jee ...

Q) Find f(x) if \int_{1}^{xy}{f(t)dt} = y \int_{1}^{x}{f(t)dt} + x \int_{1}^{y}{f(t)dt} ...

1. limn→∞ (4n+5n)1/n= 2. limn→∞ ( xn + yn )/(xn - yn ) where x>y>1 is equal to 3)limx→ - ∞ {√(x2 - x + 1) - ax - b} = 0. then (a,b) is equal to 4)lim x→0 (cos(sin x) - cos x)/x4 is equal to PLEASE SOLVE ...

If A+B+C = π (pi radian) Prove that: cosA/sinBsinC + cosB/sinCsinA + cosC/sinAsinB =2 ...

Let S_{n} = \sum_{1}^{n}{\frac{n}{n^{2}+kn+k^{2}}} and T_{n} = \sum_{1}^{n-1}{\frac{n}{n^{2}+kn+k^{2}}} for n=1,2,3.......then, (A) Sn < Π/3√3 (B) Sn > Π/3√3 (C) Tn < Π/3√3 (D) Tn > Π/3√3 plz somebody ...

1.THE POINTS (a,b), (c,d),(a,d),(c,b) TAKEN IN ORDER, WHER a,b,c,d are real numbers are: a. COLLINEAR b. VERTICES OF A SQUARE c. VERTICES OF A RHOMBUS d. CONCYCLIC given ans:: b but my answer:: d PLEASE EXPLAIN IN DETAILS ...

the value of: lim [ |sin x|/|x| ] x→0 [.] represents greatest integer function |.| represents modulus.... ...

If 1/14 + 1/24 + 1/34 +.......∞ is π4/90 , then 1/14 + 1/34 + 1/54 +.......∞= a) π4/96 b) π4/100 c) π4/121 d) π4/108 Plz show the steps also as I dont even know how to start this prob... here,π is pi. ...

If sec(x-y), secx , sec(x+y) are in AP, then (cosx)(sec y/2 )= a)±√3 b)±√5 c)±√7 d)±√2 Plz show the steps for this prob also.. ...

The unit's digit of 1! +2! +3!+.....+97! is a)3 b)4 c)5 d)6 explain yur answer with steps... ...

Passage For x ε (0 , Π/4), Let Sn = \sum_{r=1}^{2n}{sin(sin^{-1}x^{3r-2}}) Cn = \sum_{r=1}^{2n}{cos(cos^{-1}x^{3r-1}}) Tn = \sum_{r=1}^{2n}{tan(tan^{-1}x^{3r}}) 1) The correct order of Sn, Cn, Tn is 2) The value of \lim_{n\ ...

Prove that 1 + 1/2 + 1/4 + 1/7 + 1/11 + ............................ <= 2*pi T(n) = \frac{2}{2 + n(n-1)} ...

Chord of contact of pair of tangents drawn from , each point on the line 2x+y=4 , to the parabola y2=4x pass through which fixed point?? ...

if 4 real nos p, q, r & s are such that, pr=2(q+s) prove, at least one of the 2 foll eqns x2+px+q=0 and x2+rx+s=0 my approach: i found out the discriminant of the 2 which came to be as p2-4q and r2-4s now one must be positive ...

If m is the slope of a line and 3m+4=3m+2 then does this line exist or not?? ...

If the locus of the mid points of the chords of the circle x2+y2=16 which are tangents to the hyperbola 9x2-16y2=144 is given by (x2+y2)a= bx2-cy2 then find the value of a+b+c. ...

1 \int_{0}^{\infty }\frac{dx}{x^{n}+1},n=natural\: no ...

The period of mod(Sin2x) + mod(Cos2x) is........ isnt the answer pi/4 ???? ...

integrate the following: 1. sin inverse ( root of x / a+x) 2. root of ( 1+ lnx ) / x lnx 3. 1 / root ( 1 - sin ^ 4 x ) dont give the soln. just give the necess. hints.... ...