
\hspace{16}$In how many ways can the selection of $\bf{8}$ letters be done frm $\bf{24}$ letters\\\\ of which $\bf{8}$ are $\bf{'a'}$ and $\bf{8}$ are $\bf{'b'}$ and rest are unlike. ...

Three children,each accompanied by a guardian,seek admission in a school.The principal wants to interview all the 6 persons one after the other,subject to the condition that no child is interviewed before its guardian.In how ...

A number when divided by 3 leaves a remainder of 3. When the square of this number is divided by 6, find the remaindr. Sir, how will I solve this problem? ...

What is the unit's digit in the product 784 x 618 x 917 x 463? Is there any special process to do so ? if there is please tell me how to do it. ...

If we want to find out the the equation of the angle bisector of one of the angles of a triangle, how do we find out which sign(+/) to take? Sir had told this in class but I can't remember now. ...

try to Prove cosec (π/7) = cosec(2π/7) + cosec(3π/7) ...

ABC is an equilateral triangle such that the vertices B and C lie in two parallel lines at a distance 6.if A lies between the parallel lines at a distance 4 from one of them then find the length of the side of the equilateral ...

If 'a' is a complex number such that a=1.Find the values of a,so that equation az2+z+1=0 has one purely imaginary root. ...

S=11+11+11....................... infinity now thus, S=1 (11+11+11....................... infinity) thus S=1S thus 2S=1 S=1/2 ...

Which topics from S.L.Loney are not required for JEE? ...

A,B,C,D....... are 'n' points in a plane whose coordinates are (x1,y1),(x2,y2),(x3,y3)..........AB is bisected in the point G1..G1C is divided at G2 in the ratio 1:2 ..G2D is divided at G3 in the ratio 1:3..G3E at G4 in the r ...

Prove that the lines joining the middle points of opposite sides of a quadrilateral and the line joining the middle points of its diagonals meet in a point and bisect one another.. ...

(555)37 ...

the number of terms in an AP is even. the sum of the odd and the even numbered terms are 24 and 30 resp. if the last term exceeds the first by 10.5,the no.of terms in the AP are..????? ...

There are 5 different red balls,5 different green balls,5 different blue balls and 5 different black balls.In how many ways can they be arranged so that no two balls of same color are adjacent ? ...

\hspace{16}\bf{(1)\;\;}$ Total Integer ordered pair,s of $\bf{(x,y)}$ in $\bf{x^2y! = 2001}$\\\\\\ $\bf{(2)\;\;}$ Total Integer ordered pair,s of $\bf{(x,y)}$ in $\bf{x^27y! = 2011}$\\\\\\ $\bf{(3)\;\;}$ Total Integer orde ...

\hspace{16}\bf{(1)\;\;}$ The sum of $\bf{5}$ digit no. that can be formed using the digits $\bf{0,0,1,2,3,4}$\\\\\\ $\bf{(2)\;\;}$ The sum of $\bf{5}$ digit no. that can be formed using the digits $\bf{0,0,1,1,2,3}$ ...

If f(x) be a positive function in [a,b] prove that, \left\left(\int\limits^{b}_{a}f(x)dx\right)\left(\int\limits^{b}_{a}\frac{1}{f(x)}dx\right)\right\geq (ba)^{2} ...

When any three points are selected from a circle, what is the probability that they will form an obtuseangled triangle? ...

\hspace{18}$All positive Integer ordered pairs $\bf{(x,y)}$ for which $\bf{\binom{x}{y} = 120}$ ...

\hspace{18}$Integer values of $\bf{x}$ for which $\bf{x^4+x^3+x^2+x+1}$ is a perfect square. ...

\hspace{18}$(1) The number of four digits having only two consecutive digits identical is\\\\\\ (2) The number of four digits having only three consecutive digits are\\\\ identical is ...

\hspace{16}$If $\bf{34! = 295232799039604140847618609643520000000}$.Then $\bf{(a,b,c,d)}$\\\\ ...

\hspace{16}$Solution for $\bf{a\;,b\;,c}$ in \\\\ $\bf{a[a]+c\{c\}b\{b\}=0.16}$\\\\ $\bf{b+a\{a\}c\{c\} = 0.25}$\\\\ $\bf{c[c]+b\{b\}a\{a\} = 0.49}$\\\\ Where $\bf{[x] = }$ Integer part of $\bf{x}$\\\\ and $\bf{\{x\} = }$ ...

\hspace{16}$If $\bf{\int_{0}^{\infty}\frac{\sin x}{x} = \frac{\pi}{2}\;\; .}$ Then value of $\bf{\int_{0}^{\infty}\frac{\sin^3 x}{x^3} = }$ ...

∫dx/tanx+cotx+secx+cosecx ...

1+x2y2)dx=ydx+xdy ...

If f(x) is a function which is both even and odd, then f(3)  f(2) is equal to (a) +1 (b) 1 (c) 0 (d) none ...

*Image* The diagram shows the graph of the derivative of a function y=f(x) for 0<=x<=5 with f(0)=0. ∫f(x)dx= [limits from 0 to 1] a.21/20 b.21/20 c.1 d.none of these Sir u said option b or d must be correct out of d ...

What is the remainder 709! is divided by 719? ...