Ncert exemplar solutions mathematics class 9 Solutions for Chapter 3 coordinate geometry

Point (–3, 5) lies in the

A. first quadrant

B. second quadrant

C. third quadrant

D. fourth quadrant

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

A. +, +

B. –, –

C. –, +

D. +, –

Point (0, –7) lies

A. on the x-axis

B. in the second quadrant

C. on the y-axis

D. in the fourth quadrant

Point (– 10, 0) lies

A. on the negative direction of the x-axis

B. on the negative direction of the y-axis

C. in the third quadrant

D. in the fourth quadrant

Abscissa of all the points on the x-axis is

A. 0

B. 1

C. 2

D. any number

Ordinate of all points on the x-axis is

A. 0

B. 1

C. – 1

D. any number

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

A. abscissa

B. ordinate

C. origin

D. quadrant

A point both of whose coordinates are negative will lie in

A. I quadrant

B. II quadrant

C. III quadrant

D. IV quadrant

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

A. lie in II quadrant

B. lie in III quadrant

C. lie in IV quadrant

D. do not lie in the same quadrant

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

A. in I quadrant

B. in II quadrant

C. on x-axis

D. on y-axis

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

A. same quadrant

B. II and III quadrants, respectively

C. II and IV quadrants, respectively

D. IV and II quadrants, respectively

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

A. x – coordinate = – 5

B. y – coordinate = 5 only

C. y – coordinate = – 5 only

D. y – coordinate = 5 or –5

Write whether the following statements are True or False? Justify your answer.

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

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

(iii) The coordinates of a point whose ordinate is – ½ and abscissa is 1 are – ½ , 1.

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

(v) (–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 Fig.

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:

(i) (1, 3), (– 1, – 1), (– 2, – 3)

(ii) (1, 1), (2, – 3), (– 1, – 2)

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

Without plotting the points indicate the quadrant in which they will lie, if

(i) ordinate is 5 and abscissa is – 3

(ii) abscissa is – 5 and ordinate is – 3

(iii) abscissa is – 5 and ordinate is 3

(iv) ordinate is 5 and abscissa is 3

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

(i) What are the coordinates of the points P, R, and Q?

(ii) What is the difference between the abscissa of the points L and M?

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.