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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)=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 ...

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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 ...

anybody from iit kgp zone received the admit card.... can i track the status of my admit card... plzzzz help...... iit kharagpur site is still not updated>... ...

A given amount of (approximately ideal) gas is held in a spherical container. For what gas pressure the weight of the container will be minimal? ...

*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)? ...

find the correct statements. If Frequency and Intensity of a light source are doubled.Then a)SAtURATioN photocurrent remains almost the same. b)Maximum Kinetic Energy of photoelectrons are doubled. ...

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.. ...

*Image* If the total energy of the particle is E, it will perform periodic motion only if : (A) E < 0 (B) E > 0 (C) V0 > E > 0 (D) E > V0 ...

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] ...

Why at the boiling point..the vapor pressure equals to atmospheric pressure? ...

*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! ...

Consider a particle moving in a circle performing non-uniform motion.Consider one revolution of the particle.In that revolution the net displacement is zero(you should use Fnet.d).So,net work done by the net force is zero.But ...

A small ball is thrown from a height of 15 m above the ground and at a horizontal distance d from a vertical wall.The ball first hits the wall and then strikes the ground and then it flies back to its initial position of thro ...

1. Why are alkynes less reactive towards electrophilic reagents like H+ than alkenes??? 2. How to prepare benzene from lime? 3. What is chloral? 4.When gas A is passed through dry KOH at low temperature, a deep red coloured c ...

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