Recently Active Algebra Questions

COMPREHENTION There is a point 'p' inside an equilateral triangle ABC of side d whose distance from the vertices is 3,4,5 . Rotate the triangle, through 60° about C . Let A go to A' and P to P'. 1) The area of triangle PAP' ...

If |z|2 + A(bar) z2 + A z(bar)2 + B(bar) z + B z(bar) + c=0 represents a pair of straight lines intersecting with angle θ, then the value of |A| is- a) tanθ b) cosθ c) secθ d) secθ/2 Sorry for the inconvenience, the late ...

Find the no. of ways of arranging 5 identical green, 4 identical blue and 3 identical yellow balls in a row such that none of the identical balls form a block (or in other words...comes serially :-). ...

If A and B are two independent events such taht P(A)>0 and P(B)≠1 ,then P(A/B)= ? ...

thnx avik ...

Find the probability distribution of the number obtained by throwing a dice once ...

A bag contains tickets numbered 1,2,3..........50 of which 5 tickets x1,x2,x3,x4,x5 are drawn at random and arranged in ascending order of magnitude x1<x2<x3<x4<x5.What is the probability that x3=30? ...

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total no of functions f from the set A={0,1,2} to set B={0,1,2,3,4,5,6,7} such that f(i)<=f(j) for all i<j.i,j ε A...is answer 10C3 ...

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 = ...

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 ...

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 ...

\\\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 ...

1) \\\textit{Find the values of }\left | a \right |+\left | b \right |\textit{such that the identity }\\ \left | ax+by \right |+\left | bx+ay \right |=\left | x \right |+\left | y \right |\emph{holds } \forall x ,y\epsilon R ...

\texttt{the number of ordered triplet(x,y,z) such that LCM(x,y)=3375,LCM(y,z)=1125,LCM(z,x)=3375 is} ...

Q. For some Natural No. N the no. of positive integral 'x' satisfying the equation 1! + 2! + 3! + ....... + (x!) = (N)2 is: A) None B) one C) two D) infinite I've found the values of x as 3 and 1. So total of 2 values is poss ...

Consider the polynomials f(x) =a_1 +a_2x+a_3x^2+a_4x^4 and g(x) =b_1 +b_2x+b_3x^2+b_4x^4 where all coefficients are real It is known that \forall \ x \in \mathbb{R} \ \ [f(x)] = [g(x)] Is it necessary that f(x) = g(x)? ...