CBSE Class 10 Maths (Standard) 2023 · Paper 30/4/1 · Question 37

Coordinate Geometry 4 marks Hard

Jagdish has a field which is in the shape of a right angled triangle AQC. He wants to leave a space in the form of a square PQRS inside the field for growing wheat and the remaining for growing vegetables (as shown in the figure). In the field, there is a pole marked as O. Based on the above information, answer the following questions :

Right-angled field AQC with inscribed square PQRS

(i)Taking O as origin, coordinates of P are $(- 200, 0)$ and of Q are $(200, 0)$ . PQRS being a square, what are the coordinates of R and S?[1]
(ii)(a)What is the area of square PQRS?[2]
(ii)(b)OR What is the length of diagonal PR in square PQRS?[2]
(iii)If S divides CA in the ratio $K : 1$ , what is the value of $K$ , where point A is $(200, 800)$ ?[1]

Answer

R = (200, 400)

S = (- 200, 400)

; Area

= 160000

sq units; diagonal

P R = 4002 \approx 565.69

units;

K = 1

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CBSE Class 10 Maths (Standard) 2023 · Paper 30/4/1 · Question 37

Answer

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