Recently Active Mathematics Questions

if (9+4√5)n=p+β where n and p are postive integers and β is a positive proper fraction, prove that (1-β)(p+β)=1 ? ...

The rational number which equals to the number 2. 3 5 7 with recurring decimal is-- A. 2355/1001 B. 2370/997 C. 2355/999 D. none of these. ...

WRITE THE FOLLOWING RELATION ON THE SET {1,2,3,4,5,6,7}AS THE SET OF ORDERED PAIR- R={(X,Y):X IS RELATIVELY PRIME TO Y} SOLUTION: R={(2,3),(2,5),(2,7),(3,2),(3,4),(3,5),(3,7),(4,3),(4,5),(4,7),(5,2),(5,3),(5,4),(5,6),(5,7), ( ...

1. a, b, c, p, q, r are real nos. such that ax2 + bx + c ≥ 0 and px2 + qx + r ≥ 0 for all x ε R. Prove that apx2 + bqx + cr ≥ 0 for all x. I know c, r, a and p > 0 and Discriminant ≤ 0 but im not able to prove it ...

A sequence of positive integers is constructed as follows: the first term is 1, the following two terms are 2, 4, the following three terms are 5, 7, 9, the following four terms are 10, 12, 14, 16, etc. Find the n-th term of ...

Prove that for positive real numbers a, b, c, d, we have \[ \frac{1}{\frac{1}{a}+\frac{1}{b}}+\frac{1}{\frac{1}{c}+\frac{1}{d}}\le\frac{1}{\frac{1}{a+c}+\frac{1}{b+d}} \] ...

Q. Find the first non-zero digit from the right when 25 ! is written in base 5 notation. Q. There are 3 circular coins each with different radii … They are placed touching each other externally. The distance from the centre ...

three straight lines r drawn thru a pt lying in a triangle abc ,parallel to its side.the area of the resulting triangles are 1,4,9 sq cm..then area of triangle abc???? ...

1]A ray of light is sent along the line 2x-3y+4=0 ,upon reaching the line x+2y-7=0,the ray is reflected from it. The slope of the line containing the reflected ray is equal to A. 5 B. -18 C. -15 D. 20 2]Consider the circle c1 ...

the value of x in [-2pi,2pi].for which the graph of function ..y=√1+sinx/1-sinx - secx and y= -√1-sinx /1+sinx+ secx concide are.... in this can we solve by graph??????? if not wht approach shud we use??????/ ...

F(x)= 0∫x f(x)dx, x ≥ 0, f(x)≥ 0, f(x)≤C - F(x). find f(x) plz tell how to solve this ................ ...

1) (3x+4y+1)2 +(x+y+3)2= 0 represents? a) a point b) a piar of straight lines c) an ellipse d) a hyperbola 2)ammonia can be ried by:- a) conc. H2SO4 b)P4O10 c)CaO d)Anhyd. CaCl2 3)what is the degree and order of the different ...

i got this as an extra question.....in my bitsat...... sin4(p/8) + sin4(3p/8) + sin4(5p/8) + sin4(7p/8) don remembr the options xactly but were lyk 1 2 1/2 3/2 ...

Find the domain-- f(x)= log10(3-x)/x ...

Q If \frac{cos^{4}x}{cos^{2}y}+\frac{sin^{4}x}{sin^{2}y}=1 Then prove that \frac{cos^{4}y}{cos^{2}x}+\frac{sin^{4}y}{sin^{2}x}=1 ...

Q. What is the domain and range of the function sin-1[x] where [.] represents GINT ...

i am really confused about COMPLEX NUMBERS i dont know how to begin that and complete that! anybody there , plz help me out on how to go about complex numbers i missed my classes during this topic....plz help! ...

Q We know that tan(A+B)=tanA+tanB/1-tanAtanB now we waana find the value of tan ∩. A child puts both A and B as ∩/2 But now he is trapped a tan ∩/2 is not defined. He solved the question by the use of L Hospital But he ...

if f(x)= sin-1[ (3x4+6x2-1)/(x2+1)3] find dy/dx at x2= tan (pi/8) i tried this method (3x4+6x2-1 )/(x2+1)3 = 3 sin a -4 sin3a=sin 3a where sin a= 1/(1+x2) now x2=tan pi/8 so we have sin a =cos2pi/8.... and f(x) becomes sin-1( ...

lim ( x→ infinity) [ (cosh pi/x )/(cos pi/x) ] x2 where cosh t= (et+e-t)/2 ...

Find the limit for *Image* ...

α= π/7 now prove 1) prove that cosecα=cosec2α+cosec4α ...

lim (x→1) ( 1-cos2(x-1) )/(x-1) a. 2 b.- 2 c.does not exist because x-1→0 d.does not exist becoz LHL is not equal to RHL Question to bahut hi easy hai lekin i find myself doubtful ...

Q. 1. Find all polynomials p(x) such that x p(x-1) = (x-15) p(x) . Q. 2. Determine all functions f : R - {0,1} --> R such that *Image* Thank You ! [111] ...

im stuck at this one [41] Find f(x) if f(x + y) = x. f(y) + y. f(x) and f '(0) = 1 ...

No. of solutions of eqn.--- | Sin π(pi)x/2 + Cos πx/2|= |(ln |x|)^3|+1 A. 4 B. 6 C. 8 D. none of these ...

the solution set of the equation tan(Î tanx)=cot(Î cotx) ...

solve the equation 1 - x + x(x-1)/1.2 - x(x-1)(x-2)/1.2.3 + ...... +(-1)nx(x-1)(x-2)....(x-n+1)/n! = 0 putting x=n in the equation, it becomes nC0-nC1+nC2.........+ (-1)n nCn = 0 so x=n is a solution. how can we say that no o ...

f(x)=(x2-1) mod(x2-3x+2) + cos(mod(x)) is not differentiable at a.1 b.2 c.0 d.n.o.t ...

if xp yq = ( x+y )p+q then find dy/dx ...