# CASE STUDY QUESTION 1-Class X-Maths

CASE STUDY QUESTION 1-Class X-Maths

**The Class X students of a secondary school in Krishinagar have been allotted a rectangular plot of land for their gardening activity. Sapling of Gulmohar are planted on the boundary at a distance of 1 m from each other. There is a triangular grassy lawn in the plot as shown in the below figure. The students are to sow seeds of flowering plants on the remaining area of the plot.**

**(a) Taking A as origin, find the coordinates of the vertices of the triangle ∆PQR.**

(i) P (4, 6), Q(3, 2), R(6, 5)

(ii) P (3, 2), Q(4, 6), R(6, 5)

(iii) P (4, 6), Q3, 2), R(5, 6)

(iv) P (4, 6), Q(2, 3), R(6,5)

**(b) What is the midpoint of side PQ, when A is the origin?**

(i) (7/2, 9/2)

(ii) (7/2, 4)

(iii) (23/2, 9/2)

(iv) none of these

**(c) What will be the coordinates of the vertices of a ∆PQR if C is the origin?**

(i) P (10, 6), Q(13, 2), R(12, 5)

(ii) P (12, 2), Q(10, 6), R(13, 5)

(iii) P (12, 6), Q(13, 2), R(10, 6)

(iv) P (12, 2), Q(13, 6), R(10, 3)

**(d) What is the mid point of side QR, when C is the origin?**

(i) (7/2, 9/2)

(ii) (7/2, 4)

(iii) (23/2, 9/2)

(iv) none of these

**(e) The given problem is based on which mathematical concept**

(i) Coordinate Geometry

(ii) triangles

(iii) Similarity

(iv) none of these

**Answers**

(i), (ii), (iv), (d), (i)