CBSE Class 10 Maths (Standard) 2024 · Paper 30/S/1 · Question 38

Coordinate Geometry 4 marks Medium

Partha, a software engineer, lives in Jerusalem for his work. He lives in the most convenient area of the city from where bank, hospital, post office and supermarket can be easily accessed. In the graph, the bank is plotted as

A (9, 5)

, hospital as

B (- 3, - 1)

and supermarket as

C (5, - 5)

. A, B, C form a triangle. Based on the above information, answer the following questions :

(i)Find the distance between the bank and the hospital.
(ii)In between the bank and the supermarket, there is a post office plotted at E which is their mid-point. Find the coordinates of E. (iii)(a) In between the hospital and the supermarket, there is a bus stop plotted as D, which is their mid-point. If Partha wants to reach the bus stop from the bank, then how much distance does he need to cover? OR (iii)(b) P and Q are two different garment shops lying between the bank and the hospital, such that $B P = P Q = Q A$ . If the coordinates of P and Q are $(1, a)$ and $(b, 3)$ respectively, then find the values of 'a' and 'b'.

(i)Find the distance between the bank and the hospital.[1]
(ii)Find the coordinates of E, the mid-point of the bank and the supermarket.[1]
(iii)(a)Bus stop D is the mid-point of the hospital and supermarket; find the distance from the bank to D.[2]
(iii)(b)OR With BP = PQ = QA on segment BA, P=(1,a), Q=(b,3); find a and b.[2]

Answer

(i)

A B = 65

units; (ii)

E = (7, 0)

; (iii)(a)

A D = 82

units; (iii)(b)

a = 1

b = 5

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CBSE Class 10 Maths (Standard) 2024 · Paper 30/S/1, Question 38 — all 38 questions with answers →

CBSE Class 10 Maths (Standard) 2024 · Paper 30/S/1 · Question 38

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