CBSE Class 10 Maths (Standard) 2024 · Paper 30/5/1 · Question 37

Coordinate Geometry 4 marks Easy

A garden is in the shape of a square. The gardener grew saplings of Ashoka tree on the boundary of the garden at the distance of

1

m from each other. He wants to decorate the garden with rose plants. He chose a triangular region inside the garden to grow rose plants. In the above situation, the gardener took help from the students of class

10

. They made a chart for it which looks like the given figure. Based on the above, answer the following questions :

Square garden grid with triangle PQR

(i)If A is taken as origin, what are the coordinates of the vertices of $△ P QR$ ?[1]
(ii)(a)Find distances $P Q$ and $QR$ .[2]
(ii)(b)OR Find the coordinates of the point which divides the line segment joining points $P$ and $R$ in the ratio $2 : 1$ internally.[2]
(iii)Find out if $△ P QR$ is an isosceles triangle.[1]

Answer

(i)

P (4, 6)

Q (3, 2)

R (6, 5)

; (ii)(a)

P Q = 17

m and

QR = 32

m; OR (ii)(b) The point is

(\frac{16}{3}, \frac{16}{3})

; (iii) No,

△ P QR

is not isosceles: its sides

17

32

m and

5

m are all different.

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Standard) 2024 · Paper 30/5/1, Question 37 — all 38 questions with answers →

CBSE Class 10 Maths (Standard) 2024 · Paper 30/5/1 · Question 37

Answer

From the board paper

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