The shortest distance between the straight lines through the points A1 = (6, 2, 2) and A2 = (- 4, 0, - 1) in the directions of (1, - 2, 2) and (3, - 2, - 2) is
6
8
12
9
Let A and B are two fixed points in a plane, then locus of another point Con the same plane such that CA + CB = constant, (> AB) is
circle
ellipse
parabola
hyperbola
If g(x) is a polynomial satisfying g(x) g(y) = g(x) + g(y) + g(xy) - 2 for all real x and y and g(2) = 5, then g(x) is
9
10
25
20
B.
10
Since, g(x) g(y) = g(x) + g(y) + g(xy) - 2
Now, at x = 0, y = 2, we get
g(0) g(2) = g(0) + g(2) + g(0) - 2
g(x) is given in a polynomial and by the relation given g(x) cannot be linear.
Let g(x) = x2 + k