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
B.
Let the equation of the required plane be
This meets the coordinate axes at A, B and C, the coordinates of the centroid of ABC are .
Hence, the equation of the plane is
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
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