Question 1 :
The distance of the point P (2, 3) from the x-axis is :

Question 2 :
If A and B are $\left(– 2, – 2\right)$ and $\left(2, – 4\right)$, respectively, find the coordinates of P such that AP = $\frac{3}{7}$ AB and P lies on the line segment AB.

Question 3 :
If P ($\frac {a}{3}$,4) is the mid-point of the line segment joining the points Q (– 6, 5) and R (– 2, 3), then the value of a is :

Question 4 :
The points A (2, 9), B (a, 5) and C (5, 5) are the vertices of a triangle ABC right angled at B. Find the values of a and hence the area of ∆ABC.

Question 5 :
Find a relation between x and y if the points $\left(x, y\right)$, $\left(1, 2\right)$ and $\left(7, 0\right)$ are collinear.

Question 6 :
What are the coordinates of the mid-point of the line segment joining the points P ($x_1,y_1$) and Q ($x_2,y_2$) ?

Question 7 :
Let X, Y and Z be the points which divide the line segment joining A $\left(– 2, 2\right)$ and B $\left(2, 8\right)$ into four equal parts. Find the coordinates of Z.

Question 8 :
Find the coordinates of the point R on the line segment joining the points P (–1, 3) and Q (2, 5) such that PR = $\frac {3}{5}$PQ.

Question 9 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19bd2273b230584979a22.png ' /> The above image shows the arrangement of desks in a classroom. Ashima, Bharti and Camella are seated at A $\left(3, 1\right)$ , B $\left(6, 4\right)$ and C $\left(8, 6\right)$ respectively. Do you think they are seated in a line?

Question 10 :
Let A $\left(4, 2\right)$ , B $\left(6, 5\right)$ and C $\left(1, 4\right)$ be the vertices of ∆ABC.The median of A meets BC at D. Find the coordinates of the point P on AD such that AP : PD = 2 : 1

Question 11 :
What is the ratio in which the line $2x + y – 4 = 0$ divides the line segment joining the points A $\left(2, – 2\right)$ and B $\left(3, 7\right)$

Question 12 :
Name the type of quadrilateral formed, if any, by the following points (4,5) , (7,6) , (4,3) , (1,2).

Question 13 :
The distance of a point from the x-axis is called its y-coordinate, or ordinate. TRUE or FALSE ?

Question 15 :
A (6, 1), B (8, 2) and C (9, 4) are three vertices of a parallelogram ABCD. If E is the midpoint of DC, find the area of ∆ ADE.

Question 16 :
If P (9a – 2, –b) divides line segment joining A (3a + 1, –3) and B (8a, 5) in the ratio 3 : 1, find the value of b.

Question 17 :
Find the area of the triangle whose vertices are $\left(2, 3\right)$, $\left(–1, 0\right)$, $\left(2, – 4\right)$

Question 18 :
Point P (0, 2) is the point of intersection of y–axis and perpendicular bisector of line segment joining the points A (–1, 1) and B (3, 3). State true or false.

Question 19 :
The points A (–1, 0), B (3, 1), C (2, 2) and D (–2, 1) are the vertices of a parallelogram. State true or false.

Question 20 :
If A $\left(x_1, y_1\right)$, B $\left(x_2, y_2\right)$ and C $\left(x_3,y_3\right)$ are the vertices of ∆ABC, find the coordinates of the centroid of the triangle.