Recently Active Mathematics Questions

1.Find the fallacy :- n+n+n.....(n terms)=n2 differentiating both sides w.t.n 1+1+1....n terms=2n n=2n 1=2 guess: can we differentiate both sides on an identity. 2.find the sum:- 1+(1+a)r+(1+a+a2)r2+..n terms 3.Find the sum 1 ...

find the largest integer n such that n+5 divides n3+25 ...

If z1 and z2 be two distict complex numbers such that z_1+z_2=\frac{z_1}{\left|z_2 \right|^{2}}+\frac{z_2}{\left|z_1 \right|^{2}} then prove that 1+\left|z_1 \right|\left|z _2 \right|=\frac{z_1}{z_2}+\frac{z_2}{z_1} ...

1) If a>1 , b>1 then show that the min value of log b a + log a b is 2. 2) Show that the least value of 2 log 100 a - log a 0.0001 for a >1 is 4. 3) If x,y,z are positive then show that the min value of X logy - logz ...

Prove that ∫ dx/1+xn ( LL= 0 and UL= ∞) = ∫ dx/(1-xn)1/n (LL=0 AND UL=1)(n>1) LL=LOWER LIMIT UL=UPPER LIMIT ...

a coin is tossed (m+n) times where (m>n). find the probability of exactly n consecutive heads. ...

∫ {1/(x16 - 1) }dx ...

A stick of length 1 is divided randomly into 3 parts. What is the probability that a triangle can be made with those three parts? ...

Determine whether there exist rationals (x,y) such that x2+y2=3 ...

Ques1) If a > 0 , b > 0 , c > 0 and the min value of a (b2 + c2) + b(c2 +a2 ) + c(a2+b2) is k abc then prove that k =6. Ques2) If a,b,c are three real numbers such that b+c-a , c+a-b , and a+b-c are positive, then th ...

if x>0 and the fourth term in the expansoin of (1+3x/8)10 has maximum value ..then x lies in.......... ...

Ok here r a few ques i found quite tricky...well at least to me they were tricky..and hence i cud not solve them:)so pls do me a favour and solve them for me. 1)Solve |2x-1/x-1|>2 2)Solve |x/x-1|+|x|=x2/|x-1| 3)solve (x+3) ...

Find largest possible integer n such that [\frac{na^2b^2c^2}{a^2bc+ab^2c+abc^2}]\leq (a+b)^2+(a+b+4c)^2 for all real positive a,b,c ...

Paragraph Four letter words are formed by using the letters of the word INEFFECTIVE Q1. The number of such words in which all the four letters are different is _____ Q2. The number of such four lettered words in which neither ...

lim n->∞ (an + bn)1/n also 0<a<b ...

Ques1) Let g(x) = {log(1+x)} -1 - x-1 , where x>0, then (a) 1<g(X)<2 (b) -1<g(x) <0 (c) 0<g(X)<1 (d) none of these Ques2) Show that the interval in which x3 increses more rapidly than 6x2+15x+5 is (5,infi ...

If f: R →[Π/6, Π/2), f(x) = sin-1 (x2-a)/(x2+a) is a onto funtion, then set of values of 'a' is: a. {-1/2} b. [-1/2. -1) c. [1/2. -1) d. {1/2} ...

http://yfrog.com/5fabcmjyj Show the equation for AB to be minimum. Please use algebra. The answer is b^1/3x +a^1/3y = a^1/3b^1/3 ( a^2/3 +b^2/3) Please show also. ...

Prove that if coefficients of the quadratic equation ax^2 + bx + c = 0 are odd integers, then the roots of the equation cannot be rational numbers. ...

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consider a square with vertices with at (1,1),(-1,1),(-1,-1),(1,-1).let S be the region consisting of all points inside the square which are nearer to the origin than to any edge .sketch the region S and find its area ...

can somebody suggest a good book on calculus..specially integration i have A das gupta ......it doesn't illustrate some good examples for learning how to integrate ...

wat is the way to find out the rank of a word using permutation nd combination like the rank of word "mahatma" ,is there any other way to find rank of a word???? ...

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There is a l cross b rectangle divided into unit squares.Through how many unit squares does the diagonal of the rectangle pass? ...

Ques) Prove that the series ab + (a+x)(b+x) + (a+2x) (b+2x)+ ........+2n terms. The excess of sum of last n terms over the sum of first n terms is to the excess of the last term over the first as n2 to 2n-1. ...

∫ 555x * 55x * 5x dx = ? ...

consider a triangle OAB formed by O≡(0,0), A≡(2,0)AND B≡(1, 3 ). P(x,y) is an arbitrary interior point of the triangle moving in such a way that the sum of its distances from the three sides of the triangle is 3 units . ...

prove that the minimum value of (a+x)(b+x)/(c+x) , x>-c is ( a-c + b-c )^2 ...

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