Recently Active Mathematics Questions

integrate ∫sinxcox. complete solution ...

if x2/2 + y2/3 + z2/6 =12 find the greatest possible value of ( x/2 + y/3 + z/6 )2 jus give the hint only [1] ...

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What is the number of relations from A to B where A has m elements,B has n elements and x elements are common between A and B. ...

Let n be an integer such that 1 + 1/2 + 1/3 + 1/4 + ....+ 1/31 = n/31! Compute the remainder when n is divided by 17. OPTIONS 1) 16 2) 7 3) 8 4) 9 5) None of these ...

if a,b,c,d>0, x e R and (a2 + b2 +c 2)x2 -2(ab+bc+cd)x + b2+ c2 +d2 ≤0 then the value of the determinant [33 14 lna] [65 27 lnb] [97 40 lnc] ...

if α=330°,then using the formula tanα=2tanα/2/1-tan2α/2 find the value of tanα/2 ? ...

y=f(x) is a function on R->Q and continuous such that f(2)=3.then the function is even/odd/increasing/cant be said. ...

if a,b,c \epsilon R satisfy 1/a + 1/b + 1/c = 1/a+b+c find the value of ( 1/a +1/b + 1/c)2007 - 2007/a2007 +b2007 +c2007 + 2006/(a+b+c)2007 ...

Let A and B be two events such that B=A and p(A) = x and p(B) = y. Let the actual event be T. Let the event T be carried out n times. What is the probability that A occurs exactly p times (p<n)? ...

if i have to evaluate : S=1.2 +2.3+3.4+..................+(n-1).n +n.1 then i have a ready made formula (with proof also) for evaluating 1.2 +2.3+3.4+..................+(n-1).n as (n+1)! /(r+1)(n-r)! putting r=2 we get (n+1)n ...

i was unable to solve this one but wait till you see the solution given in the book!! if a,b,c,d are four non-negative reals and a+b+c+d=1, show that ab+bc+cd \le \frac{1}{4} ...

1) How many arrangements can be made with all the letters of the word "VENUS" such that the order of the vowels remains unaltered ? 2) In how many ways can 5 commerce and 4 science students be arranged in a row so that the co ...

10001000 or 1001999 ...

If \sqrt {a+b} \tan \frac {\theta}{2}=\sqrt {a-b} \tan \frac {\phi}{2} then prove that (b-a\ sec \theta)(b+a\cos \phi)\leq 0 ...

Ques) If A (1,2) ; B (3,4) and C (x,y) be a point such that (x-1) (x-3) + (y-2) (y-4) = 0. If areas of triangle ABC =1 then the max no. of positions of C in XY plane is (a) 4 (b) 3 (c) 2 (d) none ...

find the maximum and min value of x2y3z4 such that x+y+z=18 ...

Among various properties of continous, we have if f is continous function on [a,b] and f(a) f(b) < 0, then there exists a point c in (a,b) such that f(x) = 0 equivalently if f is continous on [a,b] and x belongs to R is su ...

\int \frac{e^{kx}}{x}dx btw i required this for a phy q. ...

\int\frac{\sqrt{1-x^{2}}-x}{x^{3}-x^{2}-x+1-\sqrt{1-x^{2}}+x\sqrt{1-x^{2}}}dx It is not as tough as it looks ;) ...

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in a triangle,R=2r then the triangle is a)right angle b)isosceles c)equilateral d)none ...

if two lines represented by the eq ax3 +bx2y+cxy2+dy3=0 are at right angles then a2+d2 +ac+bd is equal to a)-1 b) 0 c)1 d). ab +cd ...

1.Determine whether or not there exists a positive integer n such that n is divisible by exactly 2000 different prime nos,and 2^n+1 is divisible by n. ...

2sin45/4°=√2-√2+√2 prove this ? ( the first root is the main root.the second and the third root is under the main root). ...

The natural nos. r grouped as (13), (57911), (13,15,17,21,23),........ Find the sum of the nos. in nth group? 1) 4n3 2) 3n2 3) 2n2 4) n ...

Let f(x) = (a(1-sinx) + bcosx + 5)/x2 if x<0 3 if x=0 (1+(cx+dx3)/x2 )1/x if x>0 If f is continuous at x=0 , then the values of a+b+c is ? A) 2 (B) 0 (C) -4 (D) -5 ...

Which of the following fcns defined below are continuous at the origin ? (A) f(x) = x sin(1/x) if x ≠0 0 if x=0 (B) g(x) = [cos(x2-5x+6)] / (x2 - 5x +6) if x≠2,3 1 if x=2,3 (C) h(x) = xtan-1(1/x) if x≠0 0 if x=0 (D) p(x ...

There exists a plane f(a).x+f(0).y+f(c).z=1 which is passing through the point (0,1,1) where y=f(x) is a second degree polynomial which cuts the line x+y=1 at 2 distinct points x=1,x=c where c=rational number.It is also given ...

prove that \int_{0}^{\pi }{}(x^{2}cos x)/(1+sin x)^{2} = (2- \pi )\pi ...