Recently Active Mathematics Questions

please give me as many alternative ways as possible the value of \sum_{k=1}^{10}{sin(2k\pi /11)+icos(2k\pi/11)} ...

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The product of the digits of a three-digit number is 105. What is the largest possible value of the number? its a sitter....just about 2 lines.. ...

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try to solve it in a elegant way..... A circular table is divided into five sectors. You can paint each sector with one of five colors. If more than one sector can be painted the same color, how many ways are there to paint t ...

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What is the mirror image of y2=4x in the tangent to the parabola at (1,2)? ...

If the normal to y2=4ax at point t1 cuts the parabola again at point t2,then find the range of t2. My method: Pt. t1=(a(t1)2,2at1) Pt. t2=(a(t2)2,2at2) Equn. of normal at t1:y=-t1x + at1(t12 + 2) Since the above equn. satisfi ...

Pls Solve And EXPLAIN these to me 1)The equation secθ =-0.7 has a solution in the second and third quadrant.(True/False) 2)Find the maximum value of |sinα|-cosβ 3)The minimum value of sec2 θ +cos2 θ is 2 (True/false) ...

Let 2 circles S1=0 and S2=0 intersect at point A & B. L1=0 is the line joining A & B where S1=x2 + y2 + 2ax + 2by -5 = 0 and S2:(x+1)2 + (y+2)2 = 9. Let AB subtend an angle C at origin. Angle subtended by S1=0 and S2=0 at p(3 ...

(12) + (12+22)+(12+22+32)+.......22 terms Find sum I got it but i want to know the easiest and most proper way. ...

n=2p.3q how many factors of n2 are smaller than n (edit) but do not divide n? ...

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x=2abcd .How many different values of x exist if a=2,b=3,c=4,d=5 (I have made up this question so it may get a bit long.....) ...

find d distance betwn d two cenetrs such that d overlappin area betwn d two circles is same as d area wich is nt overlappin i mean outside ...

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i have heard from many that we have to study selectively from higher algebra-by hall n knight. plz tell me which chapters we have to read for jee+aieee+bits and which all can be left out ...

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At vertices of a convex polygon with 2n sides, sit hunters. while in its interior and not on any diagonal,sits a fox. The hunters shoot at the fox all simultaneously, but the fox ducks. the bullets hit the sides of the polygo ...

find out ∫ x2 e-ax3 dx actually i have to use this integration to solve a question of physics i haven't yet, gone through calculus so please dont give any direct solution . it would be better if you use any kind of substitu ...

Q64) A five digit number divisible by 6 is to be formed using the numbers 0,1,2,3,4,5 without repetition. The total number of ways this can be done is a) 216 b) 120 c) 108 d) none of these ...

players1,2,3,........n are seated around a table, and each has a single penny. Player 1 passes a penny to player 2, who then passes two pennies to player 3. Player 3 then passes one penny to Player 4, who passes two pennies t ...

solve for x, min {2x+3, 4x2 } > 42x-1 ...

If f(x) = 2x + |x|, g(x) = 1/3 (2x - |x|) and h(x) = f(g(x)), then domain of sin-1(h(h(h(h........h.h(x)........)))) { in brackets.. h(x) is n times} is: a. [-1, 1] b. [-1, -1/2] U [1/2. 1] c. [-1, -1/2] d. [1/2, 1] ...

Prove that any finite set of closed squares with total area 3 can be arranged to cover the unit square. ...

sveral numbers are written in a row. in each move, john choses any 2 adjacent numbers in which one on the left is greater than one on the right, doubles each of them and switches around. prove that roberts cn make only a fini ...

let f be continuous for any x>1 and [] denoting the greatest integer function prove that \int_{1}^{x}(+1)f(u)du =2\sum_{i=1}^{[x]}{i\int_{i}^{x}{f(u)du}} ...

if x and y are positive integers such that the last digit of x2+xy+y2 is 0 , then prove that last 2 digits of x2+xy+y2 are 0 ...

only for those who have some spare time..... find the polynomials f(x),g(x),h(x) if they exist mod(f(x))-mod(g(x))+h(x)={ -1 if x<-1 } { 3x+2 if -1≤x≤0 } { -2x+2 if x>0 } ...

25. How many real solutions does the equation x7 + 14x5 + 16x3 + 30x – 560 = 0 have? (1) 7 (2) 1 (3) 3 (4) 5 ...