Recently Active Mathematics Questions

f(x) is a discontinous function only at x=0 such that ( f(x) )2=1 for all values of x ε R , then the numbers of such functions is : A. 3 B. 2 C. 6 D. 4 Actually i am getting it as 4 but the answer given is 6 .... now is the ...

8^{\frac{1}{n}} + 27^{\frac{1}{n}} + 64^{\frac{1}{n}} > 12^{\frac{1}{n}} + 32^{\frac{1}{n}} + 36^{\frac{1}{n}} for n>1 ...

In how many ways can one fill an n x n matrix with ±1 so that the product of the entries in each row and each column equals 1? ...

if a,b,c are integers not all simultaneously equal then the min value of l a + bω + cω2l is (where ω is cube root of unity). ans. 1. ...

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The relation X^2= XY is 1. relfexive 2. symmetric 3. transitive 4. none ...

\int \frac{cos dx}{sinx+cosx} ...

what is the shortest method to find the values of - (a)Co/2-C1/3+C2/4-C3/5...upto (n+1) terms. (b)C1/2+C2/4+C3/6+... ans of (a) 1/(n+1)(n+2) ans of (b) 2n-1/n+1 ...

The interval in which x(>0) must lie so that the greatest term in the expansion of (1+x)2n has the greatest coefficient is (a)(n-1/n,n/n-1) (b)(n/n+1,n+1/n) (c)(n/n+2,n+2/n) (d)None of these. ...

12 - 22 + 32 - 42 + 52 - 62 +... = ? solution : LHS = (1-2)(1+2) + (3-4)(3+4) + (5-6)(5+6) + ... = - (1+2+3+4+5+6+...) = - n(n+1)/2 .... Ans... but for odd values of n, the above expression is not correct .... lyk substitute ...

Q1.The coefficient of X6 in {(1+x)6+(1+x)7+...+(1+x)15} is (a)16C9 (b)16C5-6C5 (c)16C6-1 (d)None of these Q2.260 when divided by 7 leaves the remainder (a)1 (b)6 (c)5 (d)2 Please also explain the respective method used for so ...

If (6√6+14)2n+1=[P]+f,then prove that (6√6-14)2n+1=f. ...

Show that there is exactly one value of x satisfying 2cos^{2}(x^{3}+x)=2^{x}+2^{-x} ...

Find the inverse of y=\frac{10^x-10^{-x}}{10^x+10^{-x}} . ...

lim x→infinity ( (x+a) (x+b) (x+c) -x) = a. abc b.(a+b+c)/3 c.abc d. abc ...

Find the time period of oscillation of a pendulum of length equal to the radius of the earth 1. 2pie(2r/g)^(1/2) 2. 2pie(r/2g)^(1/2) ...

Prove that f(n) = 1−n is the only integer-valued function defined on the integers that satisfies the following conditions. (i) f(f(n)) = n, for all integers n; (ii) f(f(n + 2) + 2) = n for all integers n; (iii) f(0) = 1. ...

What is the probability of three cubes chosen out of a cube of n * n * n order, such that they lie on a diagonal?? This is modification of richa's Q, and this req 3-d view..... ...

pls plot this graph-- x + Sin x ...

Alan and Barbara play a game in which they take turns filling entries of an initially empty 2008 × 2008 array. Alan plays first. At each turn, a player chooses a real number and places it in a vacant entry. The game ends whe ...

What is the value of x? *Image* ...

Please does anyone know the solution of Konigsberg Bridge eqn. Please explain the Euclid solution to it. It is in syllabus for Karnataka CET. ...

DOES ANYONE HOW 2 DRAW GRAPH 4 PARAMETRIC EQUATIONS?????????????? PLZ HLP... ...

prove that there are no positive integers m and n such that m(m+1)(m+2)(m+3)=n(n+1)^{2}(n+2)^{2}(n+3)^{2} ...

Q Draw the graph of [x]log\frac{[x]}{{x}}=y ...

If 1+\frac{1}{4}+\frac{1}{9}+....inf is equal to \frac{\pi ^{2}}{6} then 1+\frac{1}{9}+\frac{1}{25} .....inf is equal to a) \frac{\pi ^{2}}{8} b) \frac{\pi ^{2}}{3} c) \frac{\pi ^{2}}{12} d) \frac{\pi ^{2}}{4} how do you solv ...

The value of cos(2pie/7) + cos(4pie/7) + cos(6pie/7) + cos(7pie/7) 1. 1 2. -1 3. 0.5 4. -1.5 cmon guys kill it....its an easy 1 i think ...

if a function f(x) is defined in [-1,1] and two vertices of an equilateral triangle are (0,0) and (x,g(x)) and it's area is √3/4, then g(x) is A,√(1+x2) B.-√(1+x2) C.√(1-x2) D. none of these actually i am not getting ...

Prove that, for any integers a, b, c, there exists a positive integer n such that \sqrt{n^{3}+an^{2}+bn+c} is not an integer. ...

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