Recently Active Algebra Questions

Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. Find the value of m and n. This is a qestion from fiitjee s material. Mobile s ...

Can someone please explain me the Interval method or the wavy curve method? Waiting................... in progress......!! :P ...

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1) 10 + 5 - 3 / 3 + 10 - 5 = 2)Find the cube root of 9 3 +11 2 ...

A STUDENT IS ALLOWD 2 SELECT ATMOST 10 BUKS FRM COLLECTOIN OF 2N+1 BUKS .IF NO OF WAYS IN WICH HE SELECT AT LEAST 1 BUK IS 63,FIND N" [3 ...

The first two terms of an infinite G. P. are together equal to 5, and every term is 3 times the sum of all the terms that follow it; find the series. ...

prove that f(x)=\frac{ax^{2}+x-2}{a+x-2x^{2}} has the range R when x belongs to R if a\epsilon [1,3] ...

Nine gallons are drawn from a cask full of wine; it is then filled with water, then nine gallons of the mixture are drawn, and the cask is again filled with water. If the quantity of wine now in the cask be to the quantity of ...

In a triangle the lengths of two larger sides are 10 and 9 respectively.if the angles are in AP,then the length of third side can be:1.√91 2.3√3 3.5 4.none my query: sir this is a jee-87 question.i found the solution in a ...

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$Let $p(x)=x^n+a_{1}x^{n-1}+...............+a_{n-1}x+4$ be a polynomial with\\\\ non-negative coefficient has $n$ real roots.Then prove that $p(1)>2^{n+1}$ ...

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Let f(x) be an increasing function defined on (0, ∞). If f(2a2 + a + 1) > f(3a2 – 4a + 1), then the number of integral values of a is/are (A)5 (B)4 (C)3 (D)6 ...

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*Image* what geometric interpretation can be given to the aove expression?....and plz also let me know the way u came up with that interpretation! ...

Number of zeroes in the end in the product of 56 × 67 × 78 × ........× 3031 is (A)111 (B)147 (C)137 (D)136 ...

There are two die A and B both having six faces. Die A has three faces marked with 1, two faces marked with 2 and one face marked with 3. Die B has one face marked with 1, two faces marked with 2 and three faces marked with 3 ...

Ok so i had seen here someone saying division by ZERO is not "defined". Okay...but why can't division by zero be defined?See if u can figure it out if not i will post reply after April-10! ...

*Image* well it is a misprint there sin2 means sin B2 ...

Statement1- if p(x)=x2+px+p1 and q(x)=x2+qx+q1 where p,p1,q,q1 are real and the equation p(x).q(x) has atmost one real root then (1+p+p1) (1+q+q1)>0 Statement2- if a quadratic ax2+bx+c has no real root then a(ax2+bx+c)> ...

Statement1- if p(x)=x2+px+p1 and q(x)=x2+qx+q1 where p,p1,q,q1 are real and the equation p(x).q(x)=0 has atmost one real root then (1+p+p1) (1+q+q1)>0 Statement2- if a quadratic ax2+bx+c has no real root then a(ax2+bx+c)&g ...

solve, 1/x - 1 < 2 ...

Q:=> The no of ordered pair (x,y) satisfying \left[\frac{x}{2} \right]+\left[\frac{2x}{3} \right]+\left[\frac{y}{4} \right]+\left[\frac{4y}{5} \right] = \frac{7x}{6}+\frac{21y}{20} where 0<x,y<30 and [ . ] is " GIF " ...

Show that 1/2 + 1/3 + 1/4 + ..................... + 1/n can never be an integer. That is, it will always be a fraction. At last i reached ∑1/(1 + n) But how to calculate this? Please help.... ...

How many of the integers 1 , 2 , ................ , 2004 can be represented as m n + 1/m + n for positive integers m and n ? Please help , its from FIITJEE AITS . ...

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Prove that the square of any positive integer can be written in the form of 5q , 5q + 1 or 5q + 4 without using Euclid's division lemma. Uske baad Euclid ka gungan karo!! :P ...