Explanation : The equation of the line joining V and A is given by x = t + 3; y = t + 6; z = 4 - t.
Since B and C satisfy this, all the four points are collinear.
We can find that t = 0 for A, t = -1 for B, t = -2 for V and t = -3 for C.
From these values it is clear that these points lie in the order C, V, B, A.
Hence the answer
Explanation : We have to find the temperature that is same in Mars and Jupiter. Put M = J in the equation
(M -100) x 225/150 = J -75 and solve to get 150
Explanation : If (0, 0) is substituted in the equation, we get 0, which is less than 2. So, any point on the same side as that of the origin, should yield a value less than 2, when substituted in the equation.
Hence the result
Explanation : A function F(x, y) x (a, b) is linear if F(ax, ay) = aF(x, y) and F(a+x, b+y) = F(a, b)+ F(x, y).
The functions given in options (A), (C), (D) satisfy these two conditions but option (B) doesn't