Aptitude Discussion

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

✖ A. |
(3,1) |

✔ B. |
(2,1) |

✖ C. |
(2,-1) |

✖ D. |
(1.5,0.5) |

**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.

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 \(Q\).