Level-3 11. On Vanmahotsva day, students of class IX were asked to get saplings & develop nursery in the triangular region allotted to them as in the figure given below: A 2 3 4 5 6 7 8 9 10 (i) Find the coordinates of the vertices P, Q, R (ii) Find the area in which the nursery has been developed

The mid-points of the sides of a triangle are given by (3, 2, -4), (9, 8, -15) and (5, 4, 6). Find the coordinates of its vertices.

The mid-points of the sides of a triangle are given by (3, 2, -4), (9, 8, -15) and (5, 4, 6). Find the coordinates of its vertices.

The Class X students of a secondary school in Krishinagar have been alloted a rectangular plot of land for their gardening activity . Sapling of Gul mohar is planted on the boundary at a disatnce of 1m from each other . There is a triangular grassy lawn in the plot as shown in the figure . The students are to sow seeds of flowering plants on the remaining area of the plot . (i) Taking A as origin , find the coordinates of the vertices of the triangle . (ii) What will be the coordinates of the vertices of Delta PQR if C is the origin Also calculate the areas of the triangles i these cases . What do you observe ?

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 Figure. The students are to sow seeds of flowering plants on the remaining area of the plot. (i) Taking A as origin, find the coordinates of the vertices of the triangle. (ii) What will be the coordinates of the vertices of DPQR if C is the origin? Also calculate the areas of the triangles in these cases. What do you observe?

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 Figure. The students are to sow seeds of flowering plants on the remaining area of the plot. (i) Taking A as origin, find the coordinates of the vertices of the triangle. (ii) What will be the coordinates of the vertices of DPQR if C is the origin? Also calculate the areas of the triangles in these cases. What do you observe?

Using integration, find the area of the triangle PQR, coordinates of whose vertices are P(2, 0), Q(4, 5) and R(6, 3).

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 given figure. The students are to sow seeds of flowering plans on the remaining area of the plot. (1) Taking A as origin, find the coordinates of the vertices of the triangle. (2) What will be the coordinates of the vertices of Delta PQR if C is the origin ? Also calculate the areas of the triangles in these cases. What do you observe ?

Using integration,find the area of the triangle PQR,coordinates of whose vertices are P(2,0),Q(4,5) and R(6,3)

Given that P (3,2,-4), Q(5,4,-6), R (9,8-10) are collinear, find the ratio in which Q divides PR.