I was wondering, what we could make out of statement (ii) combined with the question stem.
If on a coordinate plane, point A has the co-ordinates (-3, 4), how far is the point A from point E?
(i) Point E is on the Y- axis four units from the origin.
(ii) If point A were twice as far from point E, it would be the same distance from point E as point C is at co -ordinates (0, -2).
I want to know what we can derive from statement 2? Does it mean, 2 x(distance from A to E) = Distance from A to C? or, can assume the E co-ordinates to be (-3/2, 4/2) as in half the value from the co-ordinates of A(-3, 4) since A is twice as far from point E. I wanted to understand what kind of algebric equation we can make of this statement, if any so it will help me better understand the concept. Appreciate your response.
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deciphering the DS statement
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Yes, exactly. Since you could, if you wanted to to, find the distance from A to C, you could then divide that by 2 to get the distance from A to E. It's a DS question, so we can skip the calculation, but the information is sufficient.ildude02 wrote: I want to know what we can derive from statement 2? Does it mean, 2 x(distance from A to E) = Distance from A to C?
Here, no, we can't say quite that much. Two things:ildude02 wrote: or, can assume the E co-ordinates to be (-3/2, 4/2) as in half the value from the co-ordinates of A(-3, 4) since A is twice as far from point E.
-we know E is half as far from A as C is. That does not mean E is positioned midway between A and C; we don't know what direction E is from point A. It might be that E is to the right of A, or below A. All we know is that the distance AE is half the distance AC; we don't know the position of point E.
-also, the midpoint of AC is not at (-3/2, 4/2). To find the midpoint of A and C, average the x and y co-ordinates of A and C: ((-3+0)/2, 4+(-2)/2) = (-3/2, 1).
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