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By Rakesh, Gupta

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Not form a triangle 26. j3,-1) and a. Isosceles b. Scalene d. J3,5) is 6 units are the vertices of a triangle which is c. Equilateral 27. The points (-1,-3); (5,5); (-3,1) are the vertices of a triangle which is d. Scalene a. Isosceles b. Equilateral c. Right angles 28. The points (2,4); (8,4) and (2,1) are the vertices of a triangle which is a. Isosceles b. Equilateral c. Right angles d. Scalene The points (4,2); (7,5) and (9,7) are b. vertices of an equilateral triangle a. vertices of an isosceles triangle c.

Let A(2,6); B (4,8); C(5,10) and D(3,8) be the vertices of a quadrilateral ABCD. Area of Quadrilateral ABCD = ar ~ABD + ar. ~BCD 2 1 4 = 2 3 2 1 X 86 X8 X6 4 1 5 + 2 3 4 8 10 8 8 1 1 = 2 / (16-24) +(32-24) +(18-16) + 2 / (40-40)+(40-30)+(24-32) / 1 1 = 2/-8 +8 +2/ +2/+10 -8/ 1 1 = -/2/ +-/2/ 2 2 1 =2 1 (2) + 2 (2) = 2 Square units Area of quadrilateral ABCD = 2sq. units Aliter :- Area of Quadrilateral ABCD can also be calculated as follows:- ar quadrilateral ABCD = 1 =2 / (16-24) +(40 -40) +(40 -30) +(18 -16) / C(5,lO) /33/ 1 = 2" = 1 2" 1-8 +0 +10 +21 141 = 1 2" (4) = 2 Square units.

4,1) c. (6,4) d. (7,4) The mid point and one end of a line segment are (3,7) and (4,2) are respectively. The other end point is a. (2,12) b. (2,11) c. (3,12) d. (4,10) Three vertices of a parallelogram taken in same order are (4,-11), (5,3) and C(2,15). The fourth vertex is a. (1,1) b. (2,2) c. (3,3) d. (4,4) The vertices of a triangle are (1,2);(2,6) and (3,4). Its centroid will be a. (2,3) b. (4,2) c. (2,4) d. (5,1) Two vertices of a triangle are (6,4) and (3,2) if the centroid is (4,0) then, its third vertex will be a.

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