A parents has two children. If one of them is boy, then the probability that other is, also a boy, is
1/2
1/4
1/3
None of these
For the LPP Min z = x1 + x2 such that inequalities 5x1 + 10x2 0, x1 + x2 1, x2 4 and x1, x2 > 0
There is a bounded solution
There is no solution
There are infinite solutions
None of these
The equation of the plane containing the line and the point (0, 7, - 7) is
x + y + z = 1
x + y + z = 2
x + y + z = 0
None of these
The volume of solid generated by revolving about the y-axis the figure bounded by the parabola y = x and x = y2 is
The solution of the differential equation (3.xy + y2)dx + (x2 + xy)dy = 0 is
x2(2xy + y2) = c2
x2(2xy - y2) = c2
x2(y2 - 2xy) = c2
None of these
The order and degree of the differential equation - 7x = 0 are
1 and 1/2
2 ana 1
1 and 1
1 and 2
The position vector of the points A, B, C are , and respectively. These points
form an isosceles triangle
form a right angled triangle
are collinear
form a scalene triangle
C.
are collinear
So, and angle between AB and BC is 180°.
Thus, Points A, B, C cannot form an isosceles triangle.
Hence, A, B, C are collinear.
A random variable X has the probability distribution
x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
P(x) | 0.15 | 0.23 | 0.12 | .010 | 0.20 | 0.08 | 0.07 | 0.05 |
For the events E = {x is prime number} and F = {x < 4} the probability of P(E ∪ F) is
0.50
0.77
0.35
0.87