Recently Active Mathematics Questions

if f(x) =1 + ax (a≠0) is the inverse of itself then what is the value of a? ...

What is the digit in the unit's place of 1!+ 2! + 3!+...... + 99! ...

Waht is unitary,nilpotent,orthogonal ,involuntary matrices Are these in course of AIEEE atleast ...

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a good user was posting some good questions..........so here is one from my side.....very easy...[3][3] let f be twice diff real valued function satisfying f(x)+f"(x)=-x.g(x).f'(x) wheere g(x)≥0 for all real x. Prove that m ...

if two equilateral triangles r inscribed in a unit radius,the minimum value of their common area is 1.√3 2.√3/2 3.√3/4 4.√6/4 ...

All points of the plane are colored red, blue or green. Prove that we can find two points a distance 1 apart with the same color. ...

If the parabolas y2=4a(x-b) and x2=4a(y-c) touch each other at right angles, the locus of their point of contact in terms of "a" is what? ...

Let m, n, p, q, r, s be positive integers such that p < r < m and q < s < n. In how many ways can one travel on a rectangular grid from (0, 0) to (m, n) such that at each step one of the coordinates increases by o ...

wat is contrapositive......? plzz...explain ...

*Image* AND NO PRIZES FOR GUESSING THE SOURCE :p ...

Find all continuous functional equations f:R→R+ , such that if x,y and z are succesive in A.P., f(x), f(y) and f(z) are succesive terms in GP ...

Q Solve for x x+a^{3}=\sqrt[3]{a-x } ...

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how can we prove that (1+tan3A)/(1-tan3A) = { (1+tanA)/(1-tanA) }3?? ...

Domain of the explicit form of the funtion y represented implicitly by the equation, (1+x)cos y - x2 = 0 is: a. (-1, 1] b. (-1, (1- 5 )/2] c. [(1- 5 )/2, (1+qrt]5 )/2] d. [0, (1- 5 )/2] plz explain the meaning of explicit and ...

If f(x) and g(x) are two polynomial such that the polynomial h(x) = xf(x3) + x2g(x6) is divisible by x2+x+1, then a. f(1) = g(1) b. f(1) = g(1) ≠0 c. f(1) = -g(1) ≠0 d. none of these ...

If α,β are different complex nos. with \left|\beta \right|=1 then find \left|\frac{\beta -\alpha }{1-\bar{\alpha }\beta}\right| ...

A rail road numbers its locomotives in order 1,2,..,n. One day u see a locomotive adn its no. is 60. Guess how many locomotives the company has? ...

ISKO BANAO IN ALL THE POSSIBLE QUADRANTS DON'T DRAW IN ONLY 1 QUADRANT DRAW EVERYWHERE IT IS POSSIBLE!!!!!!!!!!!!!! y=2{x} simple but a good 1 ...

A device consists of 4n elements, any two of which are joined by either a red or a blue wire. The numbers of red and blue wires are the same. The device is disabled by removing two wires of the same color connecting four di e ...

The plane ax+by+cz+d=0; bisects an angle between a pair of planes of which one is lx+my+nz=0 the equation of the other plane of the pair is _________ ...

The coefficients a and b of an equation x2+ax+b = 0 and its roots c and d are four different numbers. Given a, b, c, d in some order, is it possible to determine which is a and which is b? ...

*)The relation "congruence modulo m" on the set I of all integers is 1. Equivalence relation 2. A partial order relation 3. Reflexive and symmetric 4. Reflexive and antisymmetric *)What is AΔB in set language?? *)A pole of 5 ...

If a function has a breakpoint at a certain point in the domain, then should we say that the function is increasing or decreasing at that point ???????? Origin of the doubt :- Is (x+ 1/x) increasing at x=0 ??? L- = -∞ L+ = ...

The statement p->(q->p) is equivalent to ans. p->(p \vee q) sum1 ...plz explain ...

Q prove the following inequality \sqrt[3]{3-\sqrt[3]{3}}+\sqrt[3]{3+\sqrt[3]{3}}<2\sqrt[3]{3} ...

Prove the following if x,y,z>0 \frac{2}{x+y}+\frac{2}{y+z}+\frac{2}{x+z}\geq \frac{9}{x+y+z} ...

In a society of n people, any two persons who do not know each other have exactly two common acquaintances, and any two persons who know each other don’t have other common acquaintances. Prove that in this society every per ...

a letter is known to have come from either TATANAGAR or CALCUTTA on d envelope just 2 consecutive letters TA r visible d probability dat d letter has come from calcutta is? its soln is given in TMH but i dont understand can n ...