Recently Active Mathematics Questions

(sin4x/2)+(cos4x/3)=1/5 Then... (a)tan2x=(2/3) (b)tan2x=(1/3) (c)(sin8x/8)+(cos8x/27)= 1/125 (d) B and C (e) A and C (f) None ...

Let U1 and U2 be two urns such that U1 contains 3 white and 2 red balls, and U2 contains only 1 white ball. A fair coin is tossed. If head appears then 1 ball is drawn at random from U1 and put into U2. However, if tail appea ...

\hspace{-16}$If $\bf{\mathbb{I} = \int_{0}^{\pi}\frac{\pi}{\pi^2-\cos^2 (x)}dx}$, Then $\bf{[\;\mathbb{I}\; ]=}$ ...

Although some you might have seen this question before give it a try. If p,q are positive integers such that- 1- 1/2 + 1/3 - 1/4 +.........- 1/1318 + - 1/1319 = p/q Show that 1979 divides p. ...

If a line lies on a plane can we say that the line is parallel to that plane? ...

If the area enclosed between x2+y2≤9(pi)2 and sin(x-y)≥0 is m(pi)3/n sq units,then find [m]-[n]+[ m+n/m-n ]? ...

2nCn/(n+1) is an integer. ...

Prove that (a1+a2+...+an)!/a1!a2!...an! is an integer ...

If f(x)=3x3-13x2+14x-2 and p,q,r are roots of f(x)=0 such that p<q<r,then 1),[q],[r] where [.] denotes greatest integer function,are in A)A.P B)G.P C)H.P D)A.G.P 2) \fn_jvn \lim_{n\rightarrow \infty }(p)^{n!}(q)^{1/n} = ...

The distance between 2 parallel lines is one unit.A point 'A' is chosen to lie between the lines at a distance d from one of them.Triangle ABC is equilateral with B on one line and C on the other parallel line.The length of t ...

For S≡9x2-24xy+16y2-20x-15y-60=0,find the equation of the axis,directrix and length of latus rectum of the parabola? ...

Q1:The teacher of a class having a large number of students decides to take a test.After the test ended the teacher took the papers from the students and randomly distributed them among the students to check. Prove that the p ...

1)If \dpi{100} \fn_jvn \int_{a}^{b}(2+x-x^{2}) is maximum find a+b? 2)For f(x)= 6/1+31ex the possible number of different integral values which f(x) can take is? 3)if \dpi{100} \fn_jvn \lim_{x\rightarrow \infty }\sqrt[3]{8x^{ ...

Four fair dice D1, D2, D3 and D4, each having six faces numbered 1, 2, 3, 4, 5, and 6, are rolled simultaneously. The probability that D4 shows a number appearing on one of D1, D2 and D3 is (A) 91/216 (B) 108/216 (C) 125/216 ...

Determine all such integers a and b for which one of the roots of 3x3+ax2+bx+12=0 is equal to 1 + Ö3. ...

If A=\begin{bmatrix} 4 & 6 & 6\\ 1& 3 & 2\\ -1& -4 &-3 \end{bmatrix} and A^{-1}=\alpha A^{2}+\beta A+\gamma I,then \alpha +\beta +\gamma is ...

x,y belong to R,x2+y2+xy=1,then the minimum value of x3y+y3x+4 is? ...

\hspace{-16}$Calculate The Remainder When $\bf{2^{2009}}$ is divided by $100$ ...

\hspace{-16}$Solve for real $\bf{(x,y,z)}$ in \\\\\\ $\bf{x[x]+z\{z\}-y\{y\}=0.16}$\\\\ $\bf{y[y]+x\{x\}-z\{z\}=0.25}$\\\\ $\bf{z[z]+y\{y\}-x\{x\}=0.49}$ ...

Can you cut a hale into a cube so that a slightly larger cube can pass through the hole? ...

6 apples and 6 mangoes are to be distributed among 10 boys so that each boy gets atleast 1 fruit.Find the number of ways in which the fruits can be distributed. ...

If a six digit number abcdef is multiplied with 6,the resulting number is defabc.Find c+f? ...

If the line 2x-y+1=0 touches a circle at the point (2,5) and the centre of the circle lies on the line x+y-9=0, find the equation of the circle. ...

What will be the arrangement of 6 spheres of equal radius such that it totally covers a source of light? ...

If y=x dy/dx + dx/dy then find y when x=4? ...

How do I prove sin2A-sin2B=sin(A+B)sin(A-B) ? ...

sin a+cos b=2/3 sin b+cos a=1/3 Find tan((a-b)/2)? Note:Please give the shortest method....I know the longer one... ...

A class contains 3 girls and four boys. Every Saturday five students go on a picnic, a different group of students is being sent each week. During the picnic, each girl in the group is given a doll by the accompanying teacher ...

Is there any shorter way to solve this ques. Consider the equation x2+y2 = 2007. How many solutions (x; y) exist such that x and y are positive integers? (A) None (B) Exactly two (C) More than two but nitely many (D) In fitel ...

The area of right angled triangle in terms of r and r1 if A = 90°.( where r, r1 have their usual meanings), is: (A) r + r1 (B) rr1 (C) r – r1 (D) r1 – r ...