Recently Active Mathematics Questions

maximum no. of ways of distributing 15 distinct objects to three persons such that..the no. of objects received by the persons are in A.P. Ans (15)! / (5!)3 ...

Can anybody show the solution to this question..... total no. of integral solution to abcd=1050 ...

Show that (n2)! is divisible by (n!)^n ...

Write 271 as the sum of positive real numbers so as to maximize their product more of calculus than algebra[4] ...

Denote by Sk the sum to k terms of an AP. If for some two indices m and n it is known that Sm=Sn, for what index i, does Si attain a real extremum. ...

(1) If c,d are the roots of the equation x2+ax+b=0 and a,b are the roots of the equation x2+cx+d=0 then find the value of a+2b+3c+4d = ...

∫ dx/xn(1+xn) 3/n solve it someone... that is (1+xn) to the power 3/n ...

8 pieces are placed on a chessboard such that no two pieces lie on the same row or column. Prove that an even number of pieces lie on black squares ...

Find the total number of ways in which a pack of 52 cards can be arranged in 4 sets, such that 3 sets contain 17 cards each, and 1 set contains only 1 card. ...

MULTIPLE ANSWER QUESTION If f(x) = 0 is a polynomial whose coefficents are all ± 1 and whose roots are all real, then degree of f(x) can be equal to (A) 1 (B) 2 (C) 3 (D) 4 ...

HOW DO WE DETERMINE A WHETHER A POLYNOMIAL f(x) < 0 or not {WITHOUT USING GRAPHS !!!!!!!!!) I MEAN IF V CONSIDER A QUAD EQN THEN f(x) > 0 if a>0 & D <0 & reverse for f(x) < 0 Is this condition true always ????? ...

total number of 6 digit number formed by 0,1,2,3,4,8.no digits should repeat ....is a)216 b)150 c)116 d)98 ...

according to descartes theory of equation f(x) cant hv more posititve than changes in the expression does it also include 0 as the root n in the iit protion is the question just till quadractic equations or theory of equation ...

There's a convex quadrilateral....Show that if we can inscribe 2 squares in the quad, then we can inscribe infinite numbers of squares - all of different lengths. A square is said to be inscribed in a quad, if the vertices of ...

Here's a problem that I found out in an olympiad book......and I really enjoyed solving it. The question is : Find the sum of the given expression : [ n+1/2 ] + [ n+2/22 ] + [ n+22/23 ] + ................ + [ n+2k/2k+1 ] wher ...

5 ladies and 5 gents are to be arranged in a row..Find no. of ways so that no two ladies are together Method 1 place 5 gents on 5 seats(leaving one space) with 5! ways and then we have 6! ways to place ladies in vacant seats ...

*Image* how u solve it ? ...

\\\texttt{ Given the three digit number } N= a_1a_2a_3.. m_1,m_2,m_3 \\\texttt{ are the smallest possible natural number such that N is divisible by 7 whenever } \\ m_1a_1+m_2a_2+m_3a_3 \texttt{ is divisible by 7 then} \\ \te ...

(1) find all real valuse of x and y that satisfy the equation x2-xy+y2-4x-4y+16=0 (2) all psitive Integral solution of y2+6xy-16x=0 ...

assertion-reason STATEMENT 1 : If f(X) = cosx + 2cos k x , k ε θ, k≠0 then f(x) = 3 has infinite solution AND STATEMENT 2 : The function f(x) is periodic. ...

Let P,Q are two points on the curve y = log1/2(x - 1/2 ) + log2 4x2 - 4x + 1 and P is also on the circle x2 + y2 = 10 , θ lies inside the given circle such that its abscissa is an integer . 1) OP . OQ , O being the origin is ...

Determine as many solutions as you can to each of the following functional equations: 1.f(x) f(x + 1) = f(2 x + 1) 2. f(x) f(x + 1) = f[f(x) + x] ...

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If ∫ [ 0 to pi/2 ] dx / [a2 cos2 x + b2 sin2x ] = pi/2ab Then the value of ∫[0 to pi/2] dx / [ 4 cos2x + 9 sin2x ]2 = ??? (A) 11 pi / 864 (B) 13 pi/864 (C) 17 pi/864 (D) None ...

cud anyone please explain me the implies statement and if and only if statement and how the truth tables are formed...please need serious help... ...

\int \frac{\sqrt{x^2 + 1}\left\{log( x^2 + 1 ) - 2log x \right\}.dx}{x^ 4} ...

question is as mentioned by SR (SEE DOWN) ANS ----> cot A { log sec(x+A) - log sec x} ...

*Image* ANS - > MUJHE NAHIN MALUM ...

IF ∫(sin 3θ + sin θ)esin θ cos θ dθ = (Asin 3θ + Bcos 2θ + Csin θ + D cos θ + E)esin θ + c find A, B , C , D , E ANS---> -4 , -12 , -20 , 0 , 32 respectively ...

IF ∫(sin 3θ + sin θ)esin θ cos θ dθ = (Asin 3θ + Bcos 2θ + Csin θ + D cos θ + E)esin θ + c find A, B , C , D , E ANS---> -4 , -12 , -20 , 0 , 32 respectively ...