Recently Active Algebra Questions

prove that [ (8+3√7)20 ] is odd [] is gif ...

1.The total no. of all proper factors of 75600 is (ans- 118) 2. If nC4,nC5,nC6 are in AP, then the value of n is (ans- 7 & 14) 3. Let the exponent of 7 in 100C50 is t. Then t will be (a) divisible by 7 (b) div by 100 (c) div ...

Question. previously u had told the way to find generative function. But I am unable to find the generative function of ax-1 + ax+1 = √2ax. I got stuck after this step, f(x)= a1x+(a2-√2a1)x2/(x-1/√2)2+1/2 How to find an ...

If the no. of ways of selecting n cards out of unlimited no. of cards bearing the nos. 0,9,3 so that they cannot be used to write the no. 903 is 93, then n is : A. 3 B. 4 C. 5 D. 6 ...

if x+ 1/x =1 p=x1000+ 1/x1000 q be last digit in the num 22n+1 n>1 find p+q ...

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Just to be sure, can someone give a solution to these:- x=\sum_{n=0}^{\propto}{cos^{2n}\phi} y=\sum_{n=0}^{\propto}{sin^{2n}\phi} z=\sum_{n=0}^{\propto}{sin^{2n}\phi cos^{2n}\phi} Then find the relation(s) between x, y and z. ...

ABC is a triangle inscribed in the circle z = r whre z is a complex no. and r is the radius of the circle. the internal bisector of angle A and the altitude from A on BC meet the circle at D and E respectively. F is the foot ...

In how many ways can the letters of the word "C O M M I S S I O N " be arranged without changing the order of vowels ? ...

5 balls of different colours are to be placed in 3 boxes of diff. sizes. Each box can hold all 5. In how many different ways can we place the balls so that no box is empty ? ...

more than one correct Q1 if a,b,c in Ap and a≠b then b-c/a-b= ?? a) 2 b) 3 c)1 d)3 Q2 if x1,x2,x3 are positive and unequal real numbers such that 2x1,2x2,2x3are in gp then find range of ( x1.x3/x22 )1/2 Q3 if if p,q,r in gp ...

let a,b,c and d be four distinct integers.....the find the smallest possible value of 4(a^{2}+b^{2}+c^{2}+d^{2})-(a+b+c+d)^{2} ...

Give different ways of finding whether a function is onto or not. ...

Q1. Remainder when the number 111....1 (123 ones) is divided by 271 is Q2. The period of the function such that f(x-1) + f(x+1) = 2 f(x) is Q3. Let S=\sum_{k=1}^{80}{\frac{1}{\sqrt{k}}} . Then [S] equals where [] is GINT Q4. ...

Find the value of cos(Î /14).cos(3Î /14).cos(5Î /14) using complex numbers. ...

a chord of a circle is selected at random whats the probability that the length of the chord would be greater than the radius of the circle ...

Q1 no of six digit nos which have sum of digits as odd integer Q2 find Ak if \frac{m!}{x(x+1)(x+2)..(x+m)}=\sum_{i=1}^{m}{\frac{A_i}{x+i}} Q3 largest two diigt prime number that divides ^{200}C_{100} Q4 no. of natural nos n f ...

find all real solutions of the system (x+y)^{3}=z\, ,(y+z)^{3}=x\, ,(z+x)^{3}=y ...

Q. Which of the following statements is true? (a) e3 > 3e (b) e2 > 2e (c) epi > pie (d) epi > pie/2 not my doubt :) ...

let 3 nos are removed from the set{2,22,23,24,.......2n} the GM of remaining nos is 237/5.........find the value of n partially a doubt :P want to confirm the ans ...

tanA,tanB,tanc are the roots of the eqn. x3-k2x2-px+2k+1=0,then triangle abc will be a triangle of what nature?explain the ans? ...

though may be easy....but not getting[2] if x_{1}^{2}+x_{2}^{2}+x_{3}^{2}........x_{20}^{2}=400 y_{1}^{2}+y_{2}^{2}+y_{3}^{2}........y_{20}^{2}=900 find \frac{x_{1}}{y_{1}}+\frac{x_{2}}{y_{2}}+\frac{x_{3}}{y_{3}}+...........\ ...

SO atlast after toiling for hours i finally post this question here.... "In how many ways can a total of 1001 be made from numbers 1-100 without repeating any number" remember-using all numbers is not necessary but no number ...

let x,y and z be complex nos such that x+y+z=2 x^{2}+y^{2}+z^{2}=3 xyz=4 evaluate \frac{1}{xy+z-1}+\frac{1}{yz+x-1}+\frac{1}{zx+y-1} not my doubt[1] ...

let N has total 105 factors including 1 and N.....if N is divisible by 1000 then total number of odd factors of N lying between 1 and N can be..can be..can be (ans batao)[3] btw this is a q of bmat open test of last year ...

Find the range of x: √(x^2 -x) /1-|x| ...

Without using binomial or any -nomial theorem and with logical reasoning find out the co-efficient of the following in the expansion of (x+1)(x+2)(x+3)...............(x+n) : 1) xn-1 2) x Ans : 1) 1+2+3+......+n 2) n!(1+ 1/2 + ...

If 5 AM's are inserted between 4 & 15 & the value of 3rd arithmetic mean be β then find value of \beta (\sum_{1\leq i}{\sum_{<j<k}{\sum_{ \leq 8}{a}}}+\sum_{i=1}^{8}{\sum_{j=1}^{8}{a}}) here a=4 ...

if a+b+c=1.................find max value of a^{a}b^{b}c^{c} + a^{b}b^{c}c^{a} + a^{c}b^{a}c^{b} / ...

Prophet sir had recently taught a method to deal with recursive functional relations i have doubt regarding that : this thread was solved long back using substitution technique http://targetiit.com/iit-jee-forum/posts/full-th ...