AMITY INTERNATIONAL SCHOOL
CLASS -9 MATHEMATICS
HOLIDAY HOME WORK
TIME : 30 MIN
1. A point P lies 4 units to the left of the y-axis and 7 units above the x-axis. Another
point Q lies 6 units right of the y-axis and 3 units below the x-axis.
Find:
o Coordinates of P and Q
o Distance PQ if both points lie on a horizontal line.
2. The points A(–3, 5), B(x, 5), and C(7, 5) are collinear. If AB = BC, find x.
3. A point lies in the second quadrant and is equidistant from both axes. If its distance
from the x-axis is 6 units, find the coordinates.
4. Find all possible coordinates of a point:
o whose ordinate is twice its abscissa,
o and which lies in the third quadrant.
5. Determine the quadrant or axis on which each point lies:
o (0, –8)
o (–5, 0)
o (–7, –9)
o (9, –1)
, AMITY INTERNATIONAL SCHOOL
CLASS -9 MATHEMATICS
HOLIDAY HOME WORK
TIME : 30 MIN
Q1. The vertices of a rectangle are A(2,1), B(8,1), C(8,5), and D(2,5).
Find:
o Length
o Breadth
o Perimeter
o Area
Q2. A point moves 5 units right and 8 units upward from the origin. Another point moves
7 units left and 2 units downward.
Find the coordinates and determine which point is farther from the origin.
Q3. The point P(a, b) lies on the y-axis and is 9 units below the x-axis. Find a and b.
Q4. Find the coordinates of a point which:
o lies on x-axis,
o is 6 units away from origin,
o and lies in the negative direction.
Q5. Three students plotted the point (–4, 6) differently:
Ravi placed it in III quadrant
Meena placed it in II quadrant
Arjun placed it on y-axis
Who is correct? Justify mathematically.
CLASS -9 MATHEMATICS
HOLIDAY HOME WORK
TIME : 30 MIN
1. A point P lies 4 units to the left of the y-axis and 7 units above the x-axis. Another
point Q lies 6 units right of the y-axis and 3 units below the x-axis.
Find:
o Coordinates of P and Q
o Distance PQ if both points lie on a horizontal line.
2. The points A(–3, 5), B(x, 5), and C(7, 5) are collinear. If AB = BC, find x.
3. A point lies in the second quadrant and is equidistant from both axes. If its distance
from the x-axis is 6 units, find the coordinates.
4. Find all possible coordinates of a point:
o whose ordinate is twice its abscissa,
o and which lies in the third quadrant.
5. Determine the quadrant or axis on which each point lies:
o (0, –8)
o (–5, 0)
o (–7, –9)
o (9, –1)
, AMITY INTERNATIONAL SCHOOL
CLASS -9 MATHEMATICS
HOLIDAY HOME WORK
TIME : 30 MIN
Q1. The vertices of a rectangle are A(2,1), B(8,1), C(8,5), and D(2,5).
Find:
o Length
o Breadth
o Perimeter
o Area
Q2. A point moves 5 units right and 8 units upward from the origin. Another point moves
7 units left and 2 units downward.
Find the coordinates and determine which point is farther from the origin.
Q3. The point P(a, b) lies on the y-axis and is 9 units below the x-axis. Find a and b.
Q4. Find the coordinates of a point which:
o lies on x-axis,
o is 6 units away from origin,
o and lies in the negative direction.
Q5. Three students plotted the point (–4, 6) differently:
Ravi placed it in III quadrant
Meena placed it in II quadrant
Arjun placed it on y-axis
Who is correct? Justify mathematically.
