If a plane meets the co-ordinate axes at A, B and C such that the centroid of the triangle is (1, 2, 4), then the equation of the plane is:
x + 2y + 4z = 12
4x + 2y + z = 12
x + 2y + 4z = 3
4x + 2y + z = 3
If the distance of the point (1, 1, 1) from the origin is half its distance from the plane x + y + z+ k = 0, then k is equal to :
± 3
± 6
- 3, 9
3, - 9
Two persons A and B throw a die alternately till one of them gets a 3 and wins the game, the respective probabilities of winning, if A begins, are :
If three natural numbers from 1 to 100 are selected randomly, then probability that all are divisible by both 2 and 3, is :
If an antiderivative of f(x) is ex and that of g(x) is cos(x), then + is equal to :
f(x)g(x) + c
f(x) + g(x) + c
excos(x) + c
f(x) - g(x) + c
is equal to :
A.