Recently Active Algebra Questions

\\\textsl{let N be sum of all the roots of the equation }\left (\frac{1}{2x} -1 \right )^{2009}=-1\\ \textit{find the last digit of N} ...

find the min possible value of \left|z \right|^2+\left|z -3\right|^2+\left|z -6i\right|^2 ...

Q1 The statement ~(p q) is logically equivalent to p ^ ~q and plzz someone explain all this logic things in detail...or provide a few links from where i can learn more about them Q2 If we have in options a){3} b)3 which to ch ...

Find teh sum of all four digit palindromes............. u must be knowing wat a palindrome is if not *Image* it is a word or number that reads the same backwards as forwards i want a soln :) ...

if an=Σ 1 / nCr,then Σ (n-2r) / nCr=??{answer in terms of an} ...

Prove that nCm+n-1Cm+n-2Cm+.....+mCm=n+1Cm+1 ...

there is a set A={a1.a2.....an}.the total no. of subsets with even no. of elements answer 2n-1 ...

k-1Ck-1 + kCk-1 +........+n+k-2Ck-1=? Answer- n+ k-1Ck ...

total no. of triangles with side length a,b,c if the triangle satisfies the condition that a<=b<=c. is answer 1/4 (c+1)2 if c is odd 1/4 c2 if c is even ...

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\text{Let f(n) be the integer closest to} \ {\sqrt{n}}\\ \text{find the value of }\\ \sum_{i=1}^{2008}{\frac{1}{f(i)}}\\ \text{NOTE: f(6=2),f(7)=3,f(12)=3,f(13)=2 etc.}\\ (A)88\frac{28}{45} \ \ (B)90\frac{3}{5} \ \ (C)87\frac ...

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|z - 4| - |z - 5i| = k will represent hyperbola provided k will be (A) 6 (B) 7.5 (C) 1 (D) -1 (E) -3 MULTIPLE ANS QS ...

l sin pi x/2 + cos pi x/2 l = √((lnl x l )3 +1) is............... [ ans is 6 ] ...

(x+1)(x+2)(x+3) ........... (x+n)=A0 + A1x + A2x2 + ............Anxn. Find A1 + 2A2 + 3A3 +.............nAn. ...

Q1. Find the least integral value of a such that \sqrt{9-a^2+2ax-x^2} > \sqrt{16-x^2} for at least one positive x (ans given 6 while i got 2) (integer type) Q2. matrix match Let (x,y) be such that sin-1(ax) + cos-1(y) + co ...

Value of k for which kx2 - 2kx + 3x - 6 is positive for exactly two integral values of x is.................. ...

let y=\frac{x^2+ax+b}{x^2+px+q} whare α,β are roots of {x^2+ax+b} and β,γ of x2+px+q such that α<β<γ statement-1:for all xεR-(β,γ) THE RANGE OF Y IS ALL REAL statement 2..for all xεR-(β,γ) Y IS ONE-ONE FUNC ...

a_{1}^{2}+ a_{2}^{2}+a_{3}^{2}= 25 b_{1}^{2}+b_{2}^{2}+b_{3}^{2}=100 b_{1}a_{1}+b_{2}a_{2}+b_{3}a_{3}= 50 Find \; \; \frac{a_{1}^{n}+a_{2}^{n}+a_{3}^{n}}{b_{1}^{n}+ b_{2}^{n}+b_{3}^{n}} ...

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Find teh roots of x5-209x+285=0 whose sum is 5 ...

express (2^(1/3)-1)^(1/3) in the form of a,b,c (use only + or - btw a,b,c) where a= (1/9)^ (1/3), b= (2/9)^ (1/3), c= (4/9)^ (1/3) ...

Q1 3 digit number in which middle one is perfect square is formed using 1-9.Find sum Q2 Number of 6 digit numbers in which sum of digits is divisble by 5. Aslo find sum of such numbers ...

let α & β be the roots of the equation ax^2+bx+c=0,a≠0,then the sum of the series (α+β)^(2 )+(α^2+β^2 )+(α-β)^2+⋯upto n terms is equal to A)(n(a^2+(n-1)ac))/a^2 B)(n(a^2-(n-1)bc))/b^2 C)(n(b^2+(n-1)ac))/a^2 D)(n(b ...

Q1 A bag contains 10 white and 10 black balls.A perosn draws two balls at a time without replacementand rpeleats till bag is empty.The probablity tha the draws the balls of same color each time Q2 The number of ordered pairs ...

the sum of solution of the equation sinπx=x2-7x+12 is k which can be expressed as the prouct of two prime numbers.the sum of the primes= ...

Find the modulus and argument of the complex number z1=z2-z if z=cos θ + i sin θ ...

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