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Question

Which of the points P(0,3), Q(1,0), R(0,1), S(5,0), T(1,2) do not lie on the x-axis ?

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Solution

Any point which do not lie on the x− axis has coordinates of the form (x,y), where y 0
From the given points,
in P(0,3), y = 3 0
in Q(1,0), y = 0,
in R(0,1), y = 1 0
in S(5,0), y = 0
and in T(1,2), y = 2 0
We can see that, the coordinates of points P, R and T have 0
Thus, P,R and T do not lie on the x− axis.

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