Find the differential equation of the family of lines passing through the origin.
Consider the equation, y = mx, where m is the parameter.
Thus, the above equation represents the family of lines which pass through the origin.
y = mx ....(1)
Differentiating the above equation (1) which respect to x,
Thus we have eliminated the constant, m.
The required differential equation is
In a set of 10 coins, 2 coins are with heads on both the sides. A coin is selected at random from this set and tossed five times. If all the five times, the result was heads, find the probability that the selected coin had heads on both the sides
How many times must a fair coin be tossed so that the probability of getting at least one head is more than 80%?
Find x such that the four points A(4, 1, 2), B(5, x, 6) , C(5, 1, -1) and D(7, 4, 0) are coplanar.