-
If x is a +ve number then , ∫ xπ /x-1 dx ...
-
*Image* ...
-
Consider a 25*25 grid of city streets. Let S be the points of intersection of the streets, and let P be the set of paths from the bottom left corner to the top right corner of which consist of only walking to the right and up ...
-
A small box is placed on a conveyor belt that moves with constant speed v0=1m/s . Due to a technical malfunction, the belts starts moving left and right at constant speed (see the graph below). The coefficient of kinetic fric ...
-
If a,b,c be the pth,qth and rth terms of an HP respectively then prove the system of equations- (bc)x + (ca)y + (ab)z = 0 px +qy + rz =0 and x+y+z=0 has ∞ number of solutions ...
-
*Image* ...
-
Three distinct numbers are selected uniformly at random from the ten-term geometric sequence with first term 10/9 and common ratio 2 . What is the expected value of their sum? ...
-
A small bar magnet is being slowly insterted with cons velocity inside a solenoid as shown.Which graph best represents the relationship between emf induced with time..plz post answer with explanation ...
-
There are 5 different red balls,5 different green balls,5 different blue balls and 5 different black balls.In how many ways can they be arranged so that no two balls of same color are adjacent ? ...
-
What is the remainder 709! is divided by 719? ...
-
If you flip a fair coin ten times, what is the probability there will be at least one sequence of three consecutive heads or three consecutive tails? ...
-
Imagine a flat earth extending to infinity in all directions.How thick should the earth be to have the same gravity at the surface as we have now? Density=5515 kg/m3 and g=9.81m/s2 ...
-
P.T for any function f(x) and g(x) integrable on the interval (a,b).. \int_{a}^{b}f(x)g(x)dx\leq \sqrt{\int_{a}^{b}f^{2}(x)dx\int_{a}^{b}g^{2}(x)dx} ...
-
What shoud be the minimum thickness of a coin of radius 'r' so that there is a 1/3 probability that the coin will stand straight? ...
-
A particle is projected from a point to hit an apple as shown in the figure.The particle is directly aimed at the apple.Show that the particle will not hit the apple.Now show that if the string with which the apple is hung is ...
-
In a ΔABC if cosA+cosB+cosC=3/2 then prove that the Δ is equilateral. ...
-
The number of ways in which 2 boys can take 4 subjects if each boy takes atleast one subject is? ...
-
Given that a,b,c are the sides of ΔABC which is rt.angled at C.Then the min. value of (c/a + c/b)2 is ?? ...
-
2 parallel st. lines are inclined to the horizontal at an angle α .A particle is projected from a point midway between them so as to graze one of the linesand strike the other at right angle .If θ be the nagle btwn directio ...
-
The distance between 2 parallel lines is one unit.A point 'A' is chosen to lie between the lines at a distance d from one of them.Triangle ABC is equilateral with B on one line and C on the other parallel line.The length of t ...
-
6 apples and 6 mangoes are to be distributed among 10 boys so that each boy gets atleast 1 fruit.Find the number of ways in which the fruits can be distributed. ...
