In the xy-coordinate plane, what are the x-coordinates of the four vertices of square JKMN ? (1) J and M are on the x-axis, and K and N are on the y-axis. (2) The center of the square is at the origin. : Crackverbal Support

In the xy-coordinate plane, what are the x-coordinates of the four vertices of square JKMN ? (1) J and M are on the x-axis, and K and N are on the y-axis. (2) The center of the square is at the origin. Print

Modified on: Wed, 13 Oct, 2021 at 11:21 AM

Concept: The question tests on the basics of Co-ordinate geometry.

Solution:

A new Og 2021 DS question

St (1) - J and M are on the x-axis, and K and N are on the y-axis.

We can visualize a square with J,K,M,N on the given axes, but we cannot determine the value of the coordinates as asked in the
question. (Insufficient)

St(2)- The center of the square is at the origin.

Let us assume J as(1,0) , M as (-1,0) , K as (0,1) and N as(0,-1) with center as origin (0,0).

We can also imagine another square with coordinates (2,0), (-2,0) , (0,2) and (0,-2) with center as origin(0,0).

So on and so forth, we can imagine multiple squares with center as origin.

Thus, we cannot determine the value of the coordinates as asked in the question.(Insufficient)

On combining both, we cannot know of the coordinates of J,K,M,N specifically. We only know on which axes they are located.

Hence option (E)

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In the xy-coordinate plane, what are the x-coordinates of the four vertices of square JKMN ? (1) J and M are on the x-axis, and K and N are on the y-axis. (2) The center of the square is at the origin. Print

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