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If the eqn ax2+bx+c=0 (0 < a < b< c) has non real complex roots z1 and z2. Show that |z1| > 1 ; |z2| > 1. ...

the uniform bar of mass M and length l has a small roller of mass m with negligible bearing friction at each end.............determine the time period of the system for small oscillation on the curved track.... *Image* ...

*Image* what is the minimum value of ω for which water seperates. ...

A particle is projected at an angle 60degree with speed 17.32 from the point A.At the same time the wedge is made to move with speed 17.32 towards right .Then the time after which the particle will strike the wedge is ------- ...

*Image* Let fricn. between the surfaces of m1 and M be f1, m2 and the floor be f2 and between M and the floor be 0. Let M be pulled towards right by a force F and it move with an acceleration a. Please see if my equations are ...

Prove that \tan(\frac{3\pi}{11})+4\sin(\frac{2\pi}{11})=\sqrt{11} ...

(1) Find The Remainder when (32) (32)^(32) is divided by 7 (using no. Theory). ...

1. \int_{0}^{\pi /4}{ln(1+tant) dt} 2. \int (x.e^t^a^n^^^-^^^1^x)dx / (\sqrt{1+x^2}) ...

If n is an even integer and a,b,c are distinct numbers,then find the number of distinct terms in the expansion of (a+b+c)^n + (a+b-c)^n My approach>>>> It should b (n+1)+(n-1)+(n-3)+........+1 So ans should b ((n+ ...

If 7^103 is divided by 25,Then find the remainder? ...

*Image* ...

*Image* the right block is fixed. the left block has velocity v=√2m/s at any instant AB=R√2 right block has friction. all other surfaces are frictionless what is the velocity of center of mass of cylinder at this instant ...

Prove that no of ways in which n identical objects can be dived in r different groups is: n+r-1 C r-1 (I did'nt get the prove of this in any of the books.) ...

A rod slips with one end on x-axis and the other on the y-axis. If the the velocity of the end on the x-axis is V when ange is theta.Find the angular velocity of the rod? ...

*Image* A conducting ring of radius L=2m is placed on x-y plane, having its centre at the origin. A uniform magnetic field 5T(-k) exists in the space. A conducting rod PQ of mass M & length 2L is placed along the diameter of ...

ABCD is square having its centre ai the origin. If A is(x,y), find the remaining vertices. By a suitable translation of axes or otherwise, find the vertices of the square two of whose opposite vertices are(4,5) and (-2,-3). ...

I am not a fan of these.. but these have been discussed a few times here.. once long back.. an year.. and once recently by eureka.. A couple of these for those who are interested... Try to integrate 1) \int_{0}^{\infty}\frac{ ...

Find the minimum odd value of a for this equation to hold true \int _{10}^{19}\frac {\sin x}{1+x^a}<\frac {1}{9} ...

a capacitor C is charged through a resistance R by a batt of emf E by closin switch at t=0.find amt of heat energy dissipaed in d resistor R durin d 1st tym constant?? ...

Find the number of divisors of N=22335375 of the form 4n+2 Ans=95 ...

Find the largest two digit prime factor of 200C100 ...

Find the number of ordered pairs of positive integers (m,n) satisfying m≤ 2n ≤60 ,n ≤2m≤ 60 ...

An infinite thread of charge density λ lies along Z axis.Find the potential difference between the points (4,3,4) and (3,4,0) ...

The equation of ellipse is (x-1)^2+(y-2)^2=\frac{1}{9}(\frac{3x+4y-5}{5})^2 Then find the length of minor axis of ellipse . ...

Number of Proper factors of 75600 are ? ...

Nine hundred distinct N digit natural numbers are to be formed using digits 6,8,9 only.Find smallest value of N possible. ...

Find the number of integers between 1 and 1000 having their sum of digits equal to 12 ? ...

If x,y,z R such that x2+y2+z2=1 and α=x2+2y2+3z2,then find minimum and maximum value of α ...

There are k different books and l copies of each in a college library.The number of ways in which a student can make selection of one or more books is ? ...

Find the number of n digit numbers ,which have no two consecutive digits being same ans=9n ...