1. On which axis do the following points lie?(i) P(5,0)(ii) Q(0−2)(iii) R(−4,0)(iv) S(0,5)2. Let ABCD be a square of side 2a. Find the coordinates of the vertices of this square when(i) A coincides with the origin and AB and AD are along OX and OY respectively.(ii) The centre of the square is at the origin and coordinate axes are parallel to the sides AB and AD respectively,BASED ON LOTS
Q. 1. On which axis do the following points lie?(i) P(5,0)(ii) Q(0−2)(iii) R(−4,0)(iv) S(0,5)2. Let ABCD be a square of side 2a. Find the coordinates of the vertices of this square when(i) A coincides with the origin and AB and AD are along OX and OY respectively.(ii) The centre of the square is at the origin and coordinate axes are parallel to the sides AB and AD respectively,BASED ON LOTS
Points on x-axis: Points on the x-axis have a y-coordinate of 0, so P(5,0) and R(−4,0) lie on the x-axis.
Points on y-axis: Points on the y-axis have an x-coordinate of 0, so Q(0,−2) and S(0,5) lie on the y-axis.
Coordinates of square ABCD: For the square ABCD with side 2a, when A is at the origin and AB is along OX, the coordinates of A are (0,0), B are (2a,0), D are (0,2a), and C are (2a,2a).
Coordinates of square center: For the square ABCD with side 2a and center at the origin, the coordinates of A are (−a,−a), B are (a,−a), C are (a,a), and D are (−a,a).
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