Recently Active Mathematics Questions

If α≠β and atanα + btanβ = (a+b)tan(α+β)/2, show that, cosα/cosβ = a/b ...

if tan^{-1}\left(\frac{1-cosx}{sinx} \right) then dy/dx= a) { 1/2 x belongs to R -{n∩} n belongs to I and -1/2 x={n∩} n belongs to I } b){ 1/2 x belongs to R -{n∩} n belongs to I and does not exist for x = {n∩} n belo ...

If x 1+y +y 1+x =0 then find dy/dx ...

prove that the line 2x-3y+6=0 does not cut the line segment joining points (-2,-3) and (1,-2) ...

Q1. The value of sin-1(2x 1-x2 ) is (a) 2sin-1x for all x (b) 2sin-1x for lxl < 1 (c) Î - 2sin-1x for lxl > 1/ 2 (d) none of these Q2. A/R Stmnt 1 : If x > 0, y > 0 and x > y, then tan^-^1\frac{x}{y} + tan^-^1\ ...

*Image* ...

*Image* ...

Can someone help me out with functional relations please? I'm always stuck with such type of questions. How do we think about it and proceed in these? As an example, help me solve this question- Determine a function f satisfy ...

*Image* ...

A seven digit no is in the form of abcdefg (g,f,e...etc are digits unit,tens,hundreds place...etc) where a<b<c<d and d>e>f>g.The number of such numbers is _____ ...

Let P(x) be a nonzero polynomial such that, for all real numbers x, P(x^2 - 1) = P(x)P(-x). Determine the maximum possible number of real roots of P(x). ...

If ni is a positive integer and a1,a2....am belongs to C. then (a1+a2+.......+an)n= \Sigma n! a_{1}^{n_{1}}a_{2}^{n_{2}}....a_{m}^{n_{m}}/(n_{1}!.n_{2}!...n_{m}!) . pls give the combinatorial as well as mathematical proof for ...

Express in trigonometric form: i 2 /(4+4i) solution: I did rationalization. (i 2 /4+4i)+(4-4i/4-4i) I got 1/16-i 2 /16 Now how to write in trig. form. Is this correct? ...

Find the coeff of a3b4c5 in the expansion of (bc+ac+ab)6. ...

If 2tan-1(cos x)=tan-1(cosec2x) ,then x =? a) \Pi /2 b) \Pi c) \Pi /6 d) \Pi /3 ...

thee differential eqn of all curves for which the initial ordinate is of any tangent is equal to the corresponding subnormal is a)is linear b)is homogenous in first degree c)has separable variable d)is second order ...

1/(14+4) + 2/(24+4) + 3/(34+4)...........................100/(1004+4) or till n terms ...

*Image* ...

Q1) f(x).f(y) = f(x) +f(y) +f(xy) -- 2 and that f(2)= 5.then f(3) = a.10 b.24 c.15 d.N.O.T. (f is a differential function of x) Q2) lim (h→0) [ f(a+h)-2f(a)+f(a-h) ] / h2 a. 2 f'(a) b. f''(a) c. f'(a) d. f'(a)+f''(a) (f is ...

wat is skew hermitian in matrix plz tell me im unable to understand from books ...

the value of p such that the vertex of y=x2+2px+13 is 4 units abovethe y-axis,is a}2 b}+ - 4 c. 3 d. -3 ...

1.evaluate \lim_{x\to2-} [x-3]/[x(square)-4] ...

Find three-digit numbers that are divisible by 5 as well as 9 and whose consecutive digits are in AP. Pls tell which will be the best way to proceed..no need to post the solution. ...

If a,b,c,d are in HP,then ab+cd+bc = A. 3ad B.(a+b)(c+d) C. 3ac D. none of these. ...

If 1 + a + a2 + a3..... an =(1+a)(1+a2)(1+a4) then n is equal to ____ ?? ...

If a,b,c,d are diff. pos. real nos. in HP,then A. ab>cd B. ac>bd C. ad>bc D. none of these ...

∫{ (x-3) {sin-1(lnx)+cos-1(lnx)}dx ...

Find all real values of parameter a for which the equation in x \[ 16x^{4}-ax^{3}+(2a+17)x^{2}-ax+16 = 0 \] has four solutions which form an arithmetic progression. ...

A conference has 47 people attending. One woman knows 16 of the men who are attending, another knows 17, and so on up to the m-th woman who knows all n of the men who are attending. Find m and n. ...

Given a regular 2007-gon. Find the minimal number k such that: Among every k vertexes of the polygon, there always exists 4 vertexes forming a convex quadrilateral such that 3 sides of the quadrilateral are also sides of the ...