On a multiple choice examination with three possible answers (out of which only one is correct) for each of the five questions, what is the probability that a candidate would get four or more correct answers just by guessing?
Find the Cartesian equation of the plane passing through the points A(0, 0, 0) and B(3, -1, 2) and parallel to the line
Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are respectively, externally in the ratio 1:2. Also, show that P is the midpoint of the line segment R.
Find the particular solution of the differential equation satisfying the given conditions: x2 dy + (xy + y2 )dx = 0; y = 1 when x = 1.
Find the particular solution of the differential equation satisfying the given conditions:
, given that y = 1 when x= 0.
On integration, we get
Now, it is given that y = 1 when x = 0
substituting C = 1 in equation (i), we get
y = sec x as the required particular solution.