Recently Active Mathematics Questions

Let abcd is 4 digit number which satisfy the equation 4*abcd=dcba find the abcd ...

number of 9 digits numbers divisible by 9 using the digits from 0 to 9 if each digit is used atmost once is K.8!, then k has value equal to? ...

in how many ways can the letters of the word CINEMA be arranged so that the order of vowels do not change ...

Show that Δ < s2/4 ...

Can someone tell me, how is the equation of a plane passing through the line of intersection of two planes u = 0 and v = 0 given by, u + ∂v = 0 where, '∂' is a scalar quantity?? ...

2 frnds after a long time decided to meet at a particular coffee shop between 5:00 pm to 6:00 pm on a specified day.they also decided that the person whho comes earlier will not wait for the second person for more than 10mins ...

The number of right angled triangles with integer sides and inradius r=2013 is (a) 13 (b) 17 (c) 27 (d) 39 ...

Nine hundred distinct n-digit positive number are to be formed using only the digits 2, 5 & 7. The smallest value of n for which this is possible is (a) 6 (b) 7 (c) 8 (d) 9 ...

I know something is wrong in the following proofs.Can't figure out which step is wrong. Proof of -1 =1: *Image* Proof of 1=3: *Image* ...

In a binomial distribution B(n, p=1/4), if the probability of at least one success is greater than or equal to 9/10, then prove that n is greater than 1/(log10 4 - log10 3) ...

a,b ε N. The number of ordered pairs (a,b), a<b such that 1/a + 1/b = 1/2013 is (a) 11 (b) 13 (c) 17 (d) 21 ...

Find eccentricity of the conic given by the equation y= x - 1/x ? ...

\hspace{-16}$If $\bf{a,b}$ and $\bf{c}$ are different real no. such that\\\\\\ \begin{Vmatrix} \bf{a^3=3b^2+3c^2-25} \\\\ \bf{b^3=3a^2+3c^2-25} \\\\ \bf{c^3=3a^2+3b^2-25} \end{Vmatrix}\\\\\\ Then find value of $\bf{abc=}$ ...

For real x, let f(x)=x3 +5x+1, then prove that f is one-one and onto R. ...

What is the probability that 2 person in a 23 person room share same birthday????? ...

If four squares are chosen random on a chessboard, find the probability that they lie on a diagonal line. ...

In a test an examinee either guesses or copies or knows the answer to a multiple choice question with 4 choices. The probability that he makes a guess is 1/3 and the probability that he copies it is 1/6 . The probability that ...

In a multiple choice question there are four alternative answers, of which one or more are correct. a candidate will get marks in the question only if he ticks all the correct answers. The candidate decides to tick the answer ...

∫ tanx ...

1)Find the value of \fn_jvn \frac{\sum_{r=0}^{24}\binom{100}{r}\binom{100}{4r+2}}{\sum_{r=1}^{25}\binom{200}{8r-6}} 2)The largest term of the sequence 1/503 , 4/524 , 9/581 , 16/692 ... is 49/1529p Find p? 3)No of solutions o ...

\hspace{-16}\bf{(1)\;\; \mathbb{F}}$ind $\mathbb{L}$ast $\bf{2}$ Digit of $\bf{7^{7^{7^{7}}}}$\\\\\\ $\bf{(2)\;\; \mathbb{F}}$ind $\mathbb{R}$emainder When $\bf{2222^{5555}+5555^{2222}}$ is Divided by $\bf{7}$. ...

The greatest value of x3y4 if 2x+3y=7 and x, y ≥ 0 ...

1)[easy] Prove that: \dpi{200} asin(x)+bcos(x)\leq \sqrt{a^{2}+b^{2}} 2)[hard] Prove that for any triangle with sides a,b,c and area A. \inline \dpi{200} a^{2}+b^{2}+c^{2}\geq 4\sqrt{3}A 3)[harder] How should n balls be put i ...

What will be the total number of squares in a chessboard ? ...

@ circles are drawn thru the pts(a,5a) and (4a,a) to touch y axis.Prove that they intersect at tan-1(40/9) ...

solve (x+3)4+(x+5)4≥4 ...

FIND THE LOCUS OF THE COMPLEX NUMBER FOLLOWING THE RELATIONS arg(z-1)=pi/4 AND |z-2-3i|=2. ...

\hspace{-16}$If $\bf{(x-8).(x-10)=2^y}$ where $\bf{x,y\in \mathbb{Z}}$. Then no. of ordered pairs of $\bf{\left(x,y\right)}$ ...

Given that a,b,c are the sides of ΔABC which is rt.angled at C.Then the min. value of (c/a + c/b)2 is ?? ...

\hspace{-16}$How many digits are used in total to write the natural numbers \\\\ from $\bf{1}$ to $\bf{100 ^ {1000}.}$ ...