AP State Syllabus AP Board 9th Class Maths Solutions Chapter 5 Co-Ordinate Geometry Ex 5.2 Textbook Questions and Answers.

## AP State Syllabus 9th Class Maths Solutions 5th Lesson Co-Ordinate Geometry Exercise 5.2

Question 1.

Write the quadrant in which the following points lie.

i) (- 2, 3)

ii) (5, – 3)

iii) (4, 2)

iv) (- 7, – 6)

v) (0, 8)

vi) (3, 0)

vii) (-4,0)

viii) (0, – 6)

Solution:

i) (- 2, 3) – Q_{2} (second quadrant)

ii) (5, – 3) – Q_{4} (fourth quadrant)

iii) (4, 2) – Q_{1} (Iirst quadrant)

iv) (- 7, – 6) – Q_{3} (third quadrant)

v) (0, 8) – on Y-axis

vi) (3, 0) – on X-axis

vii) (-4,0) – on X’ – axis

viii) (0, – 6) – on Y’: axis

Question 2.

Write the abscissae and ordinates of the following points.

i)(4,-8)

ii)(-5,3)

iii)(0,0)

iv)(5, 0)

v)(0, -8)

Note: Plural of abscissa is abscissae.

Solution:

Point | abscissa | ordinate |

i) (4, – 8) | 4 | -8 |

ii) (-5, 3) | -5 | 3 |

iii) (0,0) | 0 | 0 |

iv) (5,0) | 5 | 0 |

v) (0,-8) . | 0 | -8 |

Question 3.

Which of the following points lie on the axes ? Also name the axis.

i) (-5,-8)

ii) (0, 13)

iii) (4, – 2)

iv) (- 2,0)

v) (0, – 8)

vi) (7,0)

vii) (0,0)

Solution:

The points (ii) (0,13) ; (v) (0,- 8) lie on Y – axis.

The points (iv) (- 2, 0), (vi) (7, 0) lie on X – axis.

The point (vii) (0, 0) lie on both X – axis and Y – axis.

The points (i) (- 5, – 8); (iii) (4, – 2) do not lie on any axis.

Question 4.

Write the following based on the graph.

i) The ordinate of L

ii) The ordinate of Q

iii) The point denoted by (- 2,-2)

iv) The point denoted by (5, – 4)

v) The abscissa of N

vi) The abscissa of M

Solution:

i) – 7

ii) 7

iii) The point ’R’

iv) The point P

v) 4

vi) – 3

Question 5.

State true or false and write correct statement.

i) In the Cartesian plane the horizon-tal line is called Y – axis, if) in the Cartesian plane, the vertical line is called Y – axis.

iii) The point which lies on both the axes is called origin.

iv) The point (2, – 3) lies in the third quadrant.

v) (-5, -8) lies in the fourth quadrant.

vi) The point (- x, – y) lies in the first quadrant where x < 0; y < 0.

Solution:

i) False

Correct statement: In the Cartesian plane the horizontal line is called X – axis.

ii) True

iii) True

iv) False

Correct statement: The point (2, -3) lies in the fourth quadrant.

v) False

Correct statement: (- 5, – 8) lies in the third quadrant.

vi) True

Question 6.

Plot the following ordered pairs on a graph sheet. What do you observe ?

i) (1, 0), (3, 0), (- 2, 0), (- 5, 0), (0, 0), (5, 0), (- 6, 0)

ii) (0, 1), (0, 3), (0, – 2), (0, – 5), (0, 0), (0,5), (0,-6)

Solution:

i) All points lie on X – axis,

ii) All points lie on Y – axis.