Recently Active Mathematics Questions

Find the sum of the the intercepts on the axes of coordinates by any tangent to the curve x + y =2 Plz solve this problem............ ...

In triangle ABC. angle B=2*angleC Prove that AC<2AB ...

If 2n+1 and 3n+1 are both squares then prove that (n is a natural number): 1. 5n+3 is not a prime 2. n is divisible by 40 ...

The first day of problem-cracking at the 50th International Math Olympiad will be underway in a few hours from now. It is being held at Bremen, Germany (I had stayed there for three months for my IIT project work :D). You can ...

Prove that, the sequence 11,111,1111,11111,...∞ doesn't have any perfect square. ...

A positive integer n is a good number if it can be written as the sum of two positive integers a and b, i.e. n=a+b, such that n|ab. It is a very good number if a,b are distinct. Find all numbers n such that n is good but it's ...

Q1.prove thet √2 is irrational. Q2.how we will prove mathematically that 1*0=0 ...

is it correct ln(1+x)<x for -1<x<0???????????? ...

if a function f(x) increases in the interval (a,b) then the function [f(x)]^n increases if ...

Find all integers a such that x2-x+a divides x13+x+90 ...

Determine all pairs of positive integers (a,b) such that all roots of x^3+8x^2+2^ax+2^b = 0 are real and at least one root is an integer. ...

This appeared in one of the RMOs: Solve for real x and y: 5x\left(1+\dfrac{1}{x^2+y^2}\right)=12 5y\left(1-\dfrac{1}{x^2+y^2}\right)=4 ...

Q1)If x,y and z are in AP,prove that 1/√x+√y ,1/√z+√x ,1/√y+√z are in AP Q2)Sum the series to n terms: (1/1+√x) +(1/1-x)+(1/1-√x)+....... Q3)Find the sum of first 19 terms of the AP a1,a2,a3,.........if it is ...

solve this plz lim (cotx - 1/x) x→0 ...

Consider a man standing at a point P at a distance a unit from the wall. This man has to reach at a point Q (which is on the same side of the wall). Distance between P and Q, measured along a wall is b units, while the distan ...

Find the real roots of the equation: x^3+2ax+\dfrac{1}{16}=-a+\sqrt{a^2+x-\dfrac{1}{16}} where 0<a<\dfrac{1}{4} Edit: The power of x is 2 and not 3 (thanx gordo for pointing it out). And I placed it mistakenly in this s ...

IF S1,S2,S3,......................,Sn ARE THE SUMS OF n TERMS OF n GP's WHOSE FIRST TERM IS 1 IN EACH CASE AND COMMON RATIO ARE 1,2,3,............n RESPECTIVELY,THEN PROVE THat S1+S2+2S3+3S4+...............+(n-1)Sn=1n+2n+3n+. ...

prove 1111111111111111................(91 digits) is not a prime no. ...

IF X=43*46*46*49.............*43X=0.0625-54,THEN VALUE OF X IS_______________________. ...

IF XA=XB/2ZB/2=ZC,THEN PROVE THAT 1/A,1/B,1/C ARE IN A.P. ...

Q1)Show that there can be infinite number of sets of four distinct real numbers in AP which are such that the square of the last term is equal to the sum of squares of the first three terms. Q2)1000! is divisible by 10n.Find ...

Q)There are two sets of numbers,each having 3 terms in AP and the sum of each set is 15.The common difference of the first set is greater by 1 than the common difference of the second set and the product of the first set is t ...

Lim (1/x2-cot2x) x→0 ...

let f:R\rightarrow R and f(x+y)=f(x)+f(y) for all x,y\epsilon R f(x) is continuous at x=0 find f(x)........[JEE 1981] ...

sum the series 1+ 1/2 + 1/3 + 1/4.......... i used integration ....but that doesn't help as log {0} doesn't exist .....please help.....please give an explanation with your answer ...

if a,b,c are in ap then bc-a2,ca-b2,ab-c2 are in a.ap b.gp c.hp d.none plz show ur solution also give some general guidelines for solving such probs..............as i face trouble sometimes with them! ...

got a good one after quite some days A man always drives at the same speed at all times. He makes it from A direct to C in 30 minutes; from A through B to C in 35 minutes; and from A through D to C in 40 minutes. Distance fro ...

Evaluate the following: 1) limx→0 x2 sin1/x 2) limx→0 xcos1/x 3) limx→∞ sinx/x 4) limx→∞ cosx/x ...

sum the series 1+ 1/2 + 1/3 + 1/4.......... i used integration ....but that doesn't help as log {0} doesn't exist .....please help.....please give an explanation with your answer ...

a sum of rs/-1728 is distributed equally among some persons & each got 4/3times as many rs/- as dere r persons find d no. of persons ...