Question 1 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bd5273b230584979a27.png ' /> 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 1m from each other. There is a triangular grassy lawn in the plot as shown in the above image. The students are to sow seeds of flowering plants on the remaining area of the plot.Taking A as origin, the coordinates of the vertices of the triangle are $\left(4,6\right)$ , $\left(3,2\right)$ and $\left(6,5\right)$.Are the coordinates correct?

Question 2 :
Name the type of the triangle formed by the points $\left(3,2\right)$ , $\left(2,3\right)$ , $\left(-2,-3\right)$.

Question 3 :
Find the distance between the following pair of points: (a,b) , (-a,-b).

Question 4 :
The points (0, 5), (0, –9) and (3, 6) are collinear. State true or false.

Question 5 :
A line intersects the y-axis and x-axis at the points P and Q, respectively. If (2, –5) is the mid-point of PQ, then the coordinates of P and Q are, respectively :

Question 6 :
Find the area of the triangle whose vertices are $\left(-5, -1\right)$, $\left(3, -5\right)$, $\left(5, 2\right)$

Question 7 :
A circle has its centre at the origin and a point P (5, 0) lies on it. The point Q (6, 8) lies outside the circle. State true or false.

Question 8 :
The distance between the points A (0, 6) and B (0, –2) is :

Question 9 :
The two opposite vertices of a square are $\left(–1, 2\right)$ and $\left(3, 2\right)$. Find the coordinates of the other two vertices.

Question 10 :
Name the type of quadrilateral formed by the points $\left(–3, 5\right)$, $\left(3, 1\right)$, $\left(0, 3\right)$ and $\left(–1, – 4\right)$.