If a plane meets the coordinate axes at A, B and C in such a way that the centroid of ABC is at the point (1, 2, 3), then equation of the plane is
None of these
Area lying in the first quadrant and bounded by the circle x2 + y2 = 4, the line x = √3y and x - axis is
π sq units
π/2 sq units
π/3 sq units
None of these
C.
π/3 sq units
Required area
The general solution of the differential equation (1 + y2) dx + (1 + x)dy = 0 is
x - y = C(1 - xy)
x - y = C(1 + xy)
x + y = C(1 - xy)
x + y = C(1 + xy)
The order and degree of the differential equation are, respectively
2, 2
2, 3
2, 1
None of these
The probability that atleast one of the events A and B occurs is 0.6. If A and B occurs simultaneously with probability 0.2,then is
0.4
0.8
1.2
1.4