Recently Active Mathematics Questions

Q) Find the no. of three elements sets of positive integers ( a,b,c ) such that a*b*c = 2310. Q) Find the no. of integers between 1 and 10000 with at least one 8 and at least one 9 as digits. ...

Find all such numbers that are powers of two and on removing its first digit in decimal representation gives another powers of two. [prerequisites : Nothing] ...

Quadrilaterals are formed by using the vertices of a convex polygon of 24 sides. The number of quadrilaterals having atleast one side of the quadrilateral in common with the side of the polygon is ? We can find out the total ...

*Image* ...

*Image* Find LF - LE ???? thank you ...

If f:[0,1]→[0,1] be a continuous function such that f(f(x))=1 for all x in[0,1]. Find all possible values of ∫f(x) dx with 0 to 1 as limits of integration ...

Does there exist a power of 2, such that its digits (in decimal representation) can be permuted to form a different power of 2? ...

what is the infinite series expansion for sec-1x? ...

i have ml khanna,arihant objective approach and TMH for mathematics but they dont have proofs of various theorems,properties. please suggest a book which has theory as well as proofs of all the theorems,properties of the chap ...

I am confusing over basic probability..! Please help out...! Suppose a bag has 5 red 3 white and 2 black balls..! The probability of getting one red and one white ball is..? I am confusing over the following two things: a) 5/ ...

draw graph of {\color{green} y}{\color{blue} =}{\color{red} e^{e^{x}}} ...

Let A be 2x2 matrix such that !A!=2 and B be 3x3 matrix such thatr !B!=3 and C be 4x4 matrix such that !C!=4.Then the value of *Image* ...

Q1. Find the locus of the centroid of an equilateral triangle inscribed in the ellipse? use general equation of ellipse? ...

not a doubt... Prove that the straight lines joining the origin to the points of intersection of the straight lines hx+ky=2hk and the curve (x-k)2+(y-h)2=c2 are at right angles if h2+k2=c2 ...

If I(m,n)=\int_{0}^{1}{t^m(1+t)^ndt} , then the expression for I(m,n) in terms of I(m+1,n-1) is: a) 2n/m+1 - n/m+1 I(m+1,n-1) b) n/m+1 I(m+1,n-1) c) 2n/m+1 + n/m+1 I(m+1,n-1) d) m/n+1 I(m+1,n-1) DISCLAIMER:: Show Steps..! Els ...

Please proof some of these If, a/b = c/d then prove that, >> a/b = c/d = (a + c)/(b + d) >> a/b = c/d = √(ac/bd) >> a/b = c/d = (ab + cd)/(b2 + d2) without, assuming that a/b = c/d = k and then putting the ...

If x = y = z b - c c - a a - b then, prove that, ax + by + cz = 0 ...

now no questions involving numbers like 2011 ,2010... Let a@b be defined as a@b=(a+b+ab+9)/(a+b); then ((((((......((5000@4999)@4998)@4997@......(3@2)@1) EQUALS?????? ...

shudn't d ans be 2 ? *Image* please help ...

If a, b, c and d are in G.P then prove that, (a - b)3 = a (b - c)3 d ...

If ax2 + bx + c = 0 be a quadratic equation where a,b and c are odd then prove that, it can't have a rational number solution. ...

This is a step of a question. I already solved the question by another method but I am confused over which formula is applied directly here : The image (h,k) of (t2,2t) in x-y+1=0 is given by h-t2/1 = k-2t/-1 = -2(t2-2t+1)/(1 ...

How many of triangles whose vertices are chosen from the vertices of a cube are equilateral? ...

Limit x->0+ x^(cosx ) ...

Consider f(x)=(x2-2mx-4(m2+1))(x2-4x-2m(m2+1))=0,m is not equal to 2. If f(x) =0has three different real roots,then m=???? ...

Σnk=1 k/k4+ 1/4 =? ...

The section consists of a few questions. Just work them out... I too wanna check myself.. 1. If, (a + 2b)2 + (b - 2c)2 + (c - 2a)2 = 0 find (a + b - c)2 where, a,b and c belongs to R. 2. We have three triangles in the figure ...

If the domain of function is {-2,-1,0,1,2} and range is {-4,-3,-2,-1,0,1,2,3,4} how many increasing functions are possible that will satisfy f(n) not equal to +n or -n ? ...

I wiill put up some good questions of AM GM inequality only... So that you all can try them.. some of themwill be very very easy.. others will be a bit more tough... So try them all one by one.. I will try to post them in ord ...

Normal drawn at P(t) having negative ordinate,to parabola y2=10x meets the curve again at Q(t2).If t2 is least then length PQ is ...