State in which quadrant each of the following points lie without actually plotting the points.

i. (8, 15)

ii. (–15, 2)

iii. (–20, –10)

iv. (6, –9)

v. (0, 18)

vi. (–17, 0)

vii. (9, 0)

viii. (–100, –200)

ix. (200, 500)

x. (–50, 7500)

Refer this table

i. x co-ordinate = 8 and y co-ordinate = 15

both x and y are positive therefore point (8, 15) lies in the 1^st quadrant

ii. x co-ordinate = -15 and y co-ordinate = 2

x co-ordinate is negative and y co-ordinate is positive therefore point (–15, 2) lies in 2^nd quadrant

iii. x co-ordinate = -20 and y co-ordinate = -10

both x and y are negative therefore point (-20, -10) lies in the 3^rd quadrant

iv. x co-ordinate = 6 and y co-ordinate = -9

x co-ordinate is positive and y co-ordinate is negative therefore point (6, -9) lies in 4^th quadrant

v. x co-ordinate = 0 and y co-ordinate = 18

as x = 0 the point lies on Y-axis because equation of Y-axis is x = 0

therefore point (0, 18) lies on Y-axis

vi. x co-ordinate = -17 and y co-ordinate = 0

as y = 0 the point lies on X-axis because equation of X-axis is y = 0

therefore point (-17, 0) lies on X-axis

vii. x co-ordinate = 9 and y co-ordinate = 0

as y = 0 the point lies on X-axis because equation of X-axis is y = 0

therefore point (9, 0) lies on X-axis

viii. x co-ordinate = -100 and y co-ordinate = -200

both x and y are negative therefore point (-100, -200) lies in the 3^rd quadrant

ix. x co-ordinate = 200 and y co-ordinate = 500

both x and y are positive therefore point (200, 500) lies in the 1^st quadrant

x. x co-ordinate = -50 and y co-ordinate = 7500

x co-ordinate is negative and y co-ordinate is positive therefore point (–50, 7500) lies in 2^nd quadrant