Geometry & Mensuration
Aptitude

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Q.

In the figure above, the point on segment \(PQ\) that is twice as far from \(P\) as from \(Q\) is

Image for Mensuration, Aptitude:2176-1

 A.

(3,1)

 B.

(2,1)

 C.

(2,-1)

 D.

(1.5,0.5)

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Solution:
Option(B) is correct

On a segment,a point that is twice as far from one end as the other is \(\dfrac{1}{3}\) the distance from one end. The points (0,-1), (1,0), (2,1), and (3,2) are on segment \(PQ\),and they dividethe segment into three intervals of equal length as shown in the figure below.

Answer image for Mensuration, Aptitude:2176-1

Note that the point (2,1) is twice as far from \(P\)(0,-1) as from \(Q\){3,2) and also that it is \(\dfrac{1}{3}\)the distance from \(Q\).


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