Recently Active Mathematics Questions

What is the no. of ways to seat 4 boys and 3 girls around a circular table ? ...

how many zeroes are there in 500!....???gud Q try it?? ...

Q1 if y=2x-3 is a tangent to parabola y2=4a(x- 1/3 ) then a= ?? i did this way..eqn of tangent to parabola:y=mx-m/3+a/m given that y=2x-3 is tangent Comparing gives us m=2 and proceeding we get a=-14/3 but ans is given a= 2± ...

Great question --- though not difficult --- If the polynomial xn + p1 xn-1 + p2 xn-2 + p3 xn-3 + ...... + pn-1 x + pn = 0 , has n real roots a , b ,c , d ... k , and p1 , p2 , p3 are all real , then find the value of , ( 1 - ...

*Image* edit: (III) is balls differnt, boxes identical Q2. There are 6 elements in a set A and 3 elements in a set B. Total no. of onto functions from set A to set B if a particular element of A is always associated with a pa ...

Q1. \lim_{x\rightarrow 0}\frac{sintanx+ln(\sqrt{1+sin^2x}-sinx)}{ln(1+x^3)} Q2. A=\begin{bmatrix} 1 &1 &1 \\ -1 &0 &2 \\ 2 &1 &0 \end{bmatrix} , I is the unit matrix of order 3X3 and aA3 + bA2 + cA + I = B where B is null mat ...

Doubts... 1) If the equation x4 -(3m+2)x2 +m2=0 (m>0), has 4 real solutions which are in A.P., find the value of "m". 2) Let P(x) be a Polynomial of degree 4 such tht - P(1)=P(3)=P(5)=P'(7) =0. If the real number x (≠1,3 ...

1. lim na sin2n!/n+1 n→∞ a E (0,1) is equal to (a) 0 (b) 1 (c) ∞ (d) does not exist 2.lim {11/sin2x + 21/sin2x+....+n1/sin2x}sin2x x→0 3. lim xn+nxn-1+1/e[x] x→∞ ...

there are 13 couples... the men can shake hands with everyone except their wives and the women can shake hands with the men only......find the total number of handshakes..... ...

How many max no. of planes can be drawn which are equidistant from 4 non coplanar points ???? Answer given is 7 ...but shouldnt it be infinite planes ??? because centroid of four points is equidistant from all points....and w ...

If the eqn [ log12 (log8 (log4x)) ] / [log5(log4(logy(log2x))))] = 0 has a solution for 'x' when c<y<b , y≠a , where 'b' is as large as possible & 'c' is as smal as possible , then the value of (a+b+c) = (A)18 (B)19 ( ...

DOUBT f(x)= ax2+bx .FInd all possible values of 'a' such that there exist at least one positive value of 'b' for which both domain and range of f(x) lie in same set ...

Let PQ be a chord of the ellipse x2/a2 + y2/b2 = 1 , which subtends an angle of pi/2 radians at the centre . If L is the foot of perpendicular from (0,0) to PQ , then (A) Locus of L is an ellipse (B) locus of L is circle conc ...

Ques) In a certain test, there are n questions. In this test, 2 n- i students gave wrong answers to atleast i questions, where i = 1,2,3,4,......, n. If the total no. of wrong answers given is 2047, then find the value of n. ...

Just came across a beautiful question..... If a1, a2, a3, a4 are in HP then 1/a1a4 \sum_{r=1}^{3}{} ar ar+1 is a root of : A) x2 + 2x + 15 = 0 B) x2 + 2x - 15 = 0 C) x2 - 2x + 15 = 0 D) x2 - 2x - 15 = 0 ...

If Ellipse E_n is drawn such that it touches Ellipse E_{n-1} at the extremities of the major axis, and has it's foci at the extremities of the minor axis of E_{n-1} then answer the following Qsns.... 1) Eccentricity e_n of El ...

Let P(x)= x6+ ax5+ bx4+ cx3+ dx2+ ex+ f be a polynomial such tht - P(1)=1, P(2)=2, P(3)=3, P(4)=4, P(5)=5 & P(6)=6. We need to find the value of P(7). [A Hint wud do perhaps.] [22] ...

\int_{0}^{[x]}{(\int_{0}^{[x]}{([x]-[x-\frac{1}{2}])dx)dx}} ...

Let X= {1,2,...,100} & Y be a subset of X such thatv the sum of no two elements in Y is divisible by 7.If the max possible no of elements in Y is 40 + λ then λ is ---------?? ...

If the eqn 2x2 +4xy + 7y2 - 12x - 2y + t = 0 where 't' is a parameter has exactly one real solution of the form (x,y) . Then the sum of (x+y) is equal to (A) 3 (B) 5 (C) - 5 (D) -3 ...

not a doubt I\! f \;\; 2f(x) + f(-x) = \frac{1}{x}sin(\frac{x^2-1}{x}) , F\! i\! n\! d \; \; \int_{1/e}^{e}{f(x)dx} ...

How many distinct necklaces can be formed using n identical diamonds and k identical pearls? ...

(1) Find all Integer a for which The equation x^{3}-13x+a=0 has three Integer Roots. ...

For all complex numbers z1 and z2 satisfying mod(z1)=12 and mod(z2-3-4i)=5 , find the minimum value of mod(z1-z2) . ...

xlog_e(\frac{x^y}{e^x})\frac {dy}{dx}=ylog_e(\frac {y^x}{e^y}) ...

S = { [x],sin-1x , l x l , {x} } A,B,C are subsets of S A ---> consists of odd functions B ----> consists of discontinuous functions C ----> consists of non decreasing/ increasing functions l (x) ε neither A nor B n ...

MATCHING (A)Let f : [-1,∞) ---> (0,∞) defined by f(x) = ex2+l x l , then f(x) is (B)Let f: (1,∞)---> [3,∞) defined by f(x) = 10 - 2x + x2 then f(x) is (C) Let f: R--->I defined by f(x) = tan5∩ [ x2 +2x+3 ] ...

∫-∞∞ (sint/t) dt ...

if z1 z2 z3 r complex nos such that \left|z_{1} \right|=\left|z_{2} \right|=\left|z_{3} \right|=1 then find the max value of \left|z_{1}-z_{2} \right|^{2}+\left|z_{2}-z_{3} \right|^{2}+\left|z_{3}-z_{1} \right|^{2} ...

1) if f(2x + y/8 ,2x - y/8 )=xy then f(x,y) +f(y,x)=??? 2)the function f(x)=λmod(sinx) + λ2mod(cosx) +g(λ) has a period equalt to pie/2 then find λ 3)evaluate the limit \lim_{x\rightarrow \infty }(\frac{x}{2}cos(\frac{\pi ...