Coordinate Geometry Test

Result

Coordinate Geometry Test - 4

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Weekly Quiz Competition

Question 1
1 / -0

The coordinates of a point are (x + 3, y - 7). Find the sum of x and y if the coordinates of the same point are (5, 8).

A
16

B
17

C
19

D
21

Solution

Equating the coordinates:
x + 3 = 5 and y – 7 = 8
x = 5 - 3 = 2
y = 8 + 7 = 15
Now, x + y = 2 + 15 = 17
Question 2
1 / -0

Find the value of 'y' in the ordered pair (2, y) if the abscissa is 5 less than the ordinate.

A
-7

B
7

C
5

D
-3

Solution

Abscissa = 2
Ordinate = y
According to the question:
2 = y – 5
y = 7
Question 3
1 / -0

What will be the coordinates of point P, if its ordinate is same as the abscissa of (3, 0) and its abscissa is same as the ordinate of (9, 2)?

A
(3, 2)

B
(2, 3)

C
(9, 3)

D
(9, 0)

Solution

Ordinate of point P = abscissa of (3, 0)
= 3
Abscissa of Point P = ordinate of (9, 2)
= 2
Co - ordinates of point P = (2, 3)
Question 4
1 / -0

The 'x' and 'y' coordinates of a point are called _________ and __________, respectively.

A
abscissa; origin

B
abscissa; ordinate

C
abscissa; quadrant

D
ordinate; abscissa

Solution

The distance of a point from the y-axis is called its x-coordinate, or abscissa.
The distance of a point from the x-axis is called its y-coordinate, or ordinate.
The 'x' and 'y' coordinates of a point are called abscissa and ordinate, respectively.
Question 5
1 / -0

The sum of abscissas of two points is -2. Which of the following can be the possible set of points?

A
A(1, -2); B(3, 4)

B
A(1, 2); B(-3, -4)

C
A(-1, -2); B(-3, 4)

D
A(-1, 2); B(3, -4)

Solution

Option 1:

A(1, -2); B(3, 4)
Abscissa of A = 1
Abscissa of B = 3
Sum = 1 + 3 = 4
Hence, option 1 is incorrect.

Option 2:

A(1, 2); B(-3, -4)

Abscissa of A = 1
Abscissa of B = -3
Sum = -3 + 1 = -2

Thus, this is the correct answer.