5.
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, Band C whose coordinates are (4, -3), (7,3) and (8, 5) respectively.
Based on the above information, answer the following questions.
(i) The distance between A and C is
(a) √5 units (b) 4√5 units (c) 3√ 5 units (d) none of these
(ii) If an invigilator at the point I, lying on the straight line joining Band C such that it divides the distance between them in the ratio of 1 : 2. Then coordinates of I are
(a)(22/3,11/3) (b)(23/3,13/3) (c) (6,1) (d) (9,1)
(iii) The mid-point of the line segment joining A and C is
(a) (1.6) (b) (6.1) (c) (11/2,0) (d) none of these
(iv) The ratio in which B divides the line segment joining A and C is
(a) 2:1 (b) 3:1 (c) 1:2 (d) none of these
(v) The points A, Band C lie on
(a) a straight line (b) an equilateral triangle
(c) a scalene triangle (d) an isosceles triangle
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