Coordinate Geometry Test

Result

Coordinate Geometry Test - 14

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following statements is correct?

A
The y-coordinate of a point is also known as its abscissa.

B
The ordinate of a point is the perpendicular distance of the point from the x-axis.

C
The coordinates of the origin are (1, 1).

D
The quadrants of a coordinate plane are numbered in clockwise direction.

Solution

The y-coordinate or ordinate of a pointis the perpendicular distance of the point from the x-axis measured along the y-axis.

Therefore, the statement given in alternative B is correct.

The correct answer is B.
Question 2
1 / -0

The ordinate of a point is 11 more than its abscissa. If the abscissa of the point is −9, then what are the coordinates of the point?

A
(−9, 2)

B
(−9, 11)

C
(2, −9)

D
(11, −9)

Solution

Let the coordinates of the point be (x, y).

It is given that the abscissa of the point is −9.

∴ x = −9

It is also given that the ordinate of the point is 11 more than its abscissa.

∴ y = x + 11

⇒ y = −9 + 11 = 2

Thus, the coordinates of the point are (−9, 2).

The correct answer is A.
Question 3
1 / -0

On a coordinate plane, the point (−6, 0) lies on the

A
positive y-axis

B
positive x-axis

C
negative x-axis

D
negative y-axis

Solution

It is known that the coordinates of a point on the x-axis are of the form (x, 0) and that of the point on the y-axis are of the form (0, y).

Therefore, the point (−6, 0) lies on the x-axis.

It is also observed that the abscissa is negative.

Thus, the given point lies on the negative x-axis.

The correct answer is C.
Question 4
1 / -0

For a point to lie in the II quadrant, the statement that should be true for x and y is that

A
x should be positive and y should be positive

B
x should be negative and y should be positive

C
x should be negative and y should be negative

D
x should be positive and y should be negative

Solution

For a point to lie in the II quadrant, the ordinate should be positive and abscissa should be negative.
Hence, the correct answer is option B.