NCERT Exemplar solutions for Mathematics [English] Class 9 chapter 3 - Coordinate Geometry [Latest edition]

Point (–3, 5) lies in the ______.

Signs of the abscissa and ordinate of a point in the second quadrant are respectively.

Point (0, –7) lies ______.

Point (–10, 0) lies ______.

Abscissa of all the points on the x-axis is ______.

Ordinate of all points on the x-axis is ______.

The point at which the two coordinate axes meet is called the ______.

A point both of whose coordinates are negative will lie in ______.

Points (1, – 1), (2, – 2), (4, – 5), (– 3, – 4) ______.

If y-coordinate of a point is zero, then this point always lies ______.

The points (–5, 2) and (2, –5) lie in the ______.

If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has ______.

On plotting the points O(0, 0), A(3, 0), B(3, 4), C(0, 4) and joining OA, AB, BC and CO which of the following figure is obtained?

If P(–1, 1), Q(3, –4), R(1, –1), S(–2, –3) and T(–4, 4) are plotted on the graph paper, then the point(s) in the fourth quadrant are ______.

If the coordinates of the two points are P(–2, 3) and Q(–3, 5), then (abscissa of P) – (abscissa of Q) is ______.

If P(5, 1), Q(8, 0), R(0, 4), S(0, 5) and O(0, 0) are plotted on the graph paper, then the point(s) on the x-axis are ______.

Abscissa of a point is positive in ______.

The points whose abscissa and ordinate have different signs will lie in ______.

In the following figure, coordinates of P are ______.

In the following figure, the point identified by the coordinates (–5, 3) is ______.

The point whose ordinate is 4 and which lies on y-axis is ______.

Which of the points P(0, 3), Q(1, 0), R(0, –1), S(–5, 0), T(1, 2) do not lie on the x-axis?

The point which lies on y-axis at a distance of 5 units in the negative direction of y-axis is ______.

The perpendicular distance of the point P(3, 4) from the y-axis is ______.

Point (3, 0) lies in the first quadrant.

Points (1, –1) and (–1, 1) lie in the same quadrant.

The coordinates of a point whose ordinate is `-1/2` and abscissa is 1 are `-1/2, 1`.

A point lies on y-axis at a distance of 2 units from the x-axis. Its coordinates are (2, 0).

(–1, 7) is a point in the II quadrant.

Write the coordinates of each of the points P, Q, R, S, T and O from the figure.

Plot the following points and write the name of the figure obtained by joining them in order:

P(– 3, 2), Q(– 7, – 3), R(6, – 3), S(2, 2)

Plot the points (x, y) given by the following table:

Plot the following points and check whether they are collinear or not:

(1, 3), (– 1, – 1), (– 2, – 3)

Plot the following points and check whether they are collinear or not:

(1, 1), (2, – 3), (– 1, – 2)

Plot the following points and check whether they are collinear or not:

(0, 0), (2, 2), (5, 5)

Without plotting the points indicate the quadrant in which they will lie, if ordinate is 5 and abscissa is – 3

Without plotting the points indicate the quadrant in which they will lie, if abscissa is – 5 and ordinate is – 3

Without plotting the points indicate the quadrant in which they will lie, if abscissa is – 5 and ordinate is 3

Without plotting the points indicate the quadrant in which they will lie, if ordinate is 5 and abscissa is 3

In the following figure, LM is a line parallel to the y-axis at a distance of 3 units.

1. What are the coordinates of the points P, R and Q?
2. What is the difference between the abscissa of the points L and M?

In which quadrant or on which axis the following points lie?

(– 3, 5)

In which quadrant or on which axis the following points lie?

(4, – 1)

In which quadrant or on which axis the following points lie?

(2, 0)

In which quadrant or on which axis the following points lie?

(2, 2)

In which quadrant or on which axis the following points lie?

(– 3, – 6)

Which of the following points lie on y-axis?

A(1, 1), B(1, 0), C(0, 1), D(0, 0), E(0, – 1), F(– 1, 0), G(0, 5), H(– 7, 0), I(3, 3).

Plot the points (x, y) given by the following table. Use scale 1 cm = 0.25 units

A point lies on the x-axis at a distance of 7 units from the y-axis. What are its coordinates? What will be the coordinates if it lies on y-axis at a distance of –7 units from x-axis?

Find the coordinates of the point which lies on x and y axes both.

Find the coordinates of the point whose ordinate is – 4 and which lies on y-axis.

Find the coordinates of the point whose abscissa is 5 and which lies on x-axis.

Taking 0.5 cm as 1 unit, plot the following points on the graph paper:

A(1, 3), B(– 3, – 1), C(1, – 4), D(– 2, 3), E(0, – 8), F(1, 0)

Points A(5, 3), B(– 2, 3) and D(5, – 4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.

Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the x-axis and one of the vertices lies in the third quadrant.

Plot the points P(1, 0), Q(4, 0) and S(1, 3). Find the coordinates of the point R such that PQRS is a square.

From the figure, answer the following:

1. Write the points whose abscissa is 0.
2. Write the points whose ordinate is 0.
3. Write the points whose abscissa is –5.

Plot the points A(1, – 1) and B(4, 5). Draw a line segment joining these points. Write the coordinates of a point on this line segment between the points A and B.

Plot the points A(1, – 1) and B(4, 5). Extend this line segment and write the coordinates of a point on this line which lies outside the line segment AB.