Question

In an examination hall, students are seated at a distance of 2 m from each other, to maintain the social distance due to CORONA virus pandemic. Let three students sit at points A, B and C whose coordinates are (4, -3), (7,3), and (8, 5) respectively.

Based on the above information, answer the following questions.

1. The distance between A and C is
a) $\sqrt{5}$ units
b) $4\sqrt{5}$ units
c) $3\sqrt{5}$ units
d) $2\sqrt{5}$ units

2. The mid-point of the line segment joining A and C is
a) $(1,6)$
b) $(6,1)$
c) $(\frac{11}{2},0$)
d) $(0,\frac{11}{2})$

3. If an invigilator at the point I, lying on the straight line joining B and C such that it divides the distance between them in the ratio of 1 : 2. Then coordinates of I are
a) $(\frac{22}{3},\frac{11}{3})$
b) $(\frac{22}{3},\frac{13}{3})$
c) $(6,1)$
d) $(9,1)$

Answer 1

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