Recently Active Mathematics Questions

*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! ...

Is zero both +ve & -ve? Why can't any number be divided by 0? ...

Prove that 2 is a rational or an irrational ...

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

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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 ...

Find the least number which when divided by 24,32 and 36 leaves the remainder 19,27,31 respectively. can it be done using Euclid's division lemma. If yes then how? ...

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

*Image* i did this all things S1+lambdaS2=0 lambda≠-1 this gives p≠-1/2 so i went for option "2" but many reputed coaching say "1" and some sub-standard ones say "2" so i think "1" is right but how?? ...

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 " ...

Let P(x) be the non constant polynomial of smallest degree such that (x − 4)P(x2 − 4) = xP(x − 2)P(x − 4). What is P(5)? ...

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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*Image* In the given triangle LBAD = 30° , AB = AC and AD = AE then find the value of sin LEDC. level A sitter question :P ...

Find the angle between the lines x-2/3 = y+1/-2, z=2 and x-1/1 = 2y+3/3 = z+5/2 This question came in my 12th board and I lost 1 mark in it [2] Again this question came while taking coaching. I have one doubt z=2 is a plane.. ...

1)The triangle formed by the tangent to the curve f(x) = x2 + bx - b at the point (1,1) and the co-ordinate axes lie in the first quadrant. If it's area is 2 then the value of b is: a)-1 b)3 c)-3 d)1 ans c 2)If the normals fr ...

In an isocelous right-angled triangle ABC, right angled at A, M and N are two points on BC such that BM2 + CN2 = MN2 then prove that, LMAN = 45° ...

Find the maximum number of sides of a n-sided polygon, the sum of all the angles of which is less than 2011° and hence find the sum of all the interior angles of the polygon. ...

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The area bounded by mod(2x+y) + mod(x-2y) ≤4 [where mod→modulus] ...

*Image* how to make this problem dance??...i mean how to solve it [3] ...

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 ...

sorry got it now...was really stupid doubt thanx! thread closed! ...

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