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CBSE Class 10 Maths (Standard) 2024 · Paper 30/4/1 · Question 36

Coordinate Geometry 4 marks Medium
Ryan, from a very young age, was fascinated by the twinkling of stars and the vastness of space. He always dreamt of becoming an astronaut one day. So he started to sketch his own rocket designs on the graph sheet. One such design is given below (see figure). Based on the above, answer the following questions.
−6−5−5−4−4−3−3−2−2−1−1112233445560XX′YY′GABCDEF
Rocket design plotted on a coordinate graph with points G, A, B, C, D, E, F
  1. (i)Find the mid-point of the segment joining and .[1]
  2. (ii)(a)What is the distance between the points and ?[2]
  3. (ii)(b)Find the coordinates of the point which divides the line segment joining the points and in the ratio internally. (OR)[2]
  4. (iii)What are the coordinates of the point ?[1]

Answer

(i) The mid-point of is ; (ii)(a) units ( units); OR (ii)(b) The point is ; (iii) .

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