To raise social awareness about the hazards of not wearing a mask, a school decided to start a 'Wear a Mask' campaign. 10 students are asked to prepare campaign banners in the shape of a rectangle. The vertices of one of the rectangles are P(3,4), Q(6, 7), R(9,4), and S(6,1). Based on the above information, answer the following questions. 4 19(i) The distance between P and Q is (a) √2 units (b) 6 units (c) 3√2 units (d) 9units 1 19(ii) The value of k if the point Q is equidistant from the points E(5,k) and F(k,7) is (a)5 (b) 7 (c) 12 (d) 18 1 19(iii) The point on X-axis which is equidistant from P and R is (a) (2, 0) (b) (4, 0) (c) (6, 0) (d) (8, 0) 1 19(iv) If a line m is drawn meeting PQ at A dividing it in the ratio 2:1, then the coordinates of A are (a) (5/3, 4/3) (b) (3,5/3) (c) (5,6) (d) (5/3, 14/3) 1 MATHEMATICS/PT-2/SEPTEMBER 2021 E-3 Pg. 6 10(v) The coordinates of the point of intersection of the diagonals of PQRS are (a) (8,6) (b) (4,6) (c) (6,8) (d) (6,4)
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