Recently Active Mathematics Questions

People living at Mars, instead of using the usual definition of derivative D f(x), defined a new king of derivative, D*f(x) by the formula: D*f(x)=Limit h------>0 f2(x+h)-f2(x) ___________ h where f2x means [f(x)]2. If f(x ...

In answering a question on a multiple choice test, a student either knows the answer or guesses. Let n3/4 be the probability that he knows the answer and 1/4be the probability that he guesses. Assuming that a student who gues ...

pls solve *Image* ...

Find the last 2 digits of 2999 ...

THIS IS SERIOUSLY NOT FOR IITJEE practice.....THEY ARE 2222222 EASY............ ONLY FOR CBSE sure shot QUESTIONS... Please other guys dont scold me for these easy questions.. 1. Find the principal value of tan-1(tan7∩/6)+c ...

probability that A speaks truth is 4/5. A coin is tossed. A reports that a head appears. wat will be the probability if actually there was a head?????????????????????????????????????????????????????? i want solution ...

√[1+(1/12)+(1/22)] +√[1+(1/22)+(1/32)]+ .....................+√[1+(1/20072)+(1/20082)] =? a) 2008-(1/2008) b)2009-(1/2008) c)2008-(1/2009) d)2009-(1/2009) ...

\sum_{1\ll i }^{}{}\sum_{<j<k}^{}{}\sum_{\ll n}^{}{(x_{i}+x_{j}+x_{k}})=\lambda (\sum_{m=1}^{n}{x_{m}}) Determine λ ...

find the length of the common chord of two circles: (x-a)2+(y-b)2=c2 and (x-b)2+(y-a)2 a) 4c2-2(a-b)2 b) 4b2-2(a-c)2 c) 2c2-2(a-b)2 d) 2c2-2(c-b)2 ...

This thread is only for math.....so NO english....dont ask doubts in eng...only math symbols are allowed.... Q.1 *Image* ...

There are n≥4 points situated on a plane such that no two of the lines joining them are parallel and no three of the lines joining them are concurrent except at the given points. Find the number of points of intersection, o ...

5 Indian and 5 American couples meet at a party and shake hands. If no wife shakes hands with her husband and no Indian wife shakes hands with a male then find the number of handshakes that take place in the party. Ans. 135 ...

statement 1: there exists a convex hexagon in the plane such that its sides are 1,2,3,4,5,6 units in order because Statement 2: construct an equilateral triangle of side length 9 units and remove the 3 corners of equilateral ...

Statement 1:- c2c3c4........cn < ( nn 2(n - 1)(n - 2) ) / (n!)2 cr = ncr Because Statement 2 :- For positive quantities AM ≥ GM. ...

Q if p=(x2-x1)2+(2√x2-x1-2)2 , x1,x2 ε R and x2 > 0 , then find minimum value of p ?? ...

Pick 2 random numbers m and n between 0 and 1. What is the probability that the closest integer to (m/n) is even? ...

good trigonometry questions for iitjee \large 1-\cot 23^{\bullet }=\frac{2}{1-\cot 22^{\bullet }} ...

find the sum of all natural numbers n such that 1000 ≤ n ≤ 4000, that can be made with the digits 0, 1, 2, 3, 4 if repetition of digits in the same number is allowed. ...

Chalo I'll give one (Priyam) : S = SIN(A) + SIN(A+B) + SIN(A+2B) + SIN(A+3B) + .................. ∞ {try to do it widout using complex nos.} {Believe me its a one step sum} HINT : use Trigo.... he he ...

Let z=1-2i. Find 1/z+2/z^2+3/z^3+... ...

Let f(x) be a differentiable funtion satisfying (x-y).f(x+y) - (x+y).f(x-y) = 4xy(x2 - y2) for all x,y \in R , and f(1)=1. Then , ........................... ...

\int \frac{arc tan(e^{x})}{e^x}dx ...

wat is value of sin(log ii) iiii this power upto infinity = a + ib find them ....find b/a and a2 +b2 ...

1)Out of 2n+1 cards numbered successively, 3 cards are drawn. What is the probability tat the numbers on the card are in A.P? Ans: 3n/4n2-1 2) Each question in the eq ax2+ bx+c is obtained by tossing a Die. Find the probabili ...

which of the foll. is differentiable At x=0? a)cos([x]) - [x] b)sin([x]) +[x] c)sin([x])- [x] d)cos([x]) + [x] where[.] represents modulus. pls give reason. ...

Prove that x>y is true for all y<x ...

How many 1s are there in the result of 1 + 11 + 111 + ... + 11..111 (which is 2002 ones) ???? ...

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\frac{r_{1} r_{2} r_{3}}\frac{{}r^{3}}{} the minimum value of this. may be easy but nice problem I thought.bahut easy that to maaf kardena ...

A series expansion is a representation of a particular function as a sum of powers in one of its variables, or by a sum of powers of another (usually elementary) function . Here are series expansions (some Maclaurin, some Lau ...