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CBSE Class 10 Maths (Basic) 2025 · Paper 430/2/1 · Question 38

Coordinate Geometry 4 marks Medium
A field is in the form of a rectangle. The coordinates of the rectangular field ABCD are , , and . Anil and Anita, two friends decided to have a race. Anita started from point and moved to point along the diagonal , where is the point of intersection of both the diagonals of . From point , she moved to point along the other diagonal and then moved back to point along . While Anil started from point and ran to point via along the boundary of the field.
D (x, y)C (40, 50)A (10, 10)B (40, 10)E
  1. (i)Find the coordinates of point .[1]
  2. (ii)Find the distance between the points and .[1]
  3. (iii)(a)Find the coordinates of point and the distance .[2]
  4. (iii)(b)Find the total distance travelled by Anita.[2]

Answer

(i) ; (ii) units; (iii)(a) and units; (iii)(b) Anita travelled units.

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