Free Coordinate Geometry 03 Practice Test - 9th Grade
Question 1
What is the perpendicular distance of the point Q (5, 7) from the y-axis?
5 units
7 units
2 units
12 units
SOLUTION
Solution : A
The perpendicular distance of the point from y-axis measured along positive x-axis is abscissa of the point. So, the answer will be 5.
Question 2
What are the coordinates of a point on the Y-axis and at a distance of 5 units in the negative direction of y-axis?
(0, 5)
(0,-5)
(5, 0)
(-5, 0)
SOLUTION
Solution : B
The abscissa of a point lying on the y-axis is 0 and the point on the negative y-axis has a negative ordinate, therefore, the point is (0, -5).
Question 3
In which quadrant would the coordinates of any point have their abscissae and ordinates with the same signs?
I quadrant
II quadrant
III quadrant
IV quadrant
SOLUTION
Solution : A and C
In the first and the third quadrants, the coordinates of any point would have the same signs. If a point lies in the first quadrant, its coordinates would be positive whereas if a point lies in the third quadrant, they would be negative.
Question 4
Abscissa of a point is positive in __________ .
1st quadrant
4th quadrant
2nd Quadrant
Both 1st quadrant and 4th quadrant
SOLUTION
Solution : D
Distance of a point from y-axis is called abscissa.
In order to have positive values of abscissa, the x-values should be positive.
x - values are positive in 1st quadrant and 4th quadrant.
So, points in 1st quadrant and 4th quadrant have positive abscissa.
Question 5
A rectangle whose length and breadth are 5 and 3 units respectively, has a vertex at the origin. The longer side lies on the x-axis and one of the vertices lies in the first quadrant. What are the coordinates of the vertices?
(0,0); (0,5); (5,3); (3,5)
(0,0); (5,0); (5,3); (0,3)
(0,0); (0,5); (5,3); (3,0)
(0,0); (0,3); (5,3); (3,5)
SOLUTION
Solution : B
The coordinates of point A is (0, 0), the longer side lies on the x-axis, therefore, moving 5 units right of the origin, the coordinate of point B is (5, 0).
The breadth of the rectangle is 3 units, so moving towards the y axis from origin by 3 units, the coordinates of D will be (0,3).
Joining all the points, the coordinates of C is (5,3).
Question 6
If the coordinates of the origin are (a, b), then the value of ab is
SOLUTION
Solution :Coordinates of the origin are (0, 0). Therefore the value of a = 0 and b = 0. So, the value of ab is 0 × 0 = 0.
Question 7
The ordinate of all points on the x-axis is
SOLUTION
Solution :Any point on the x-axis is of the form (x, 0). So, any point on the x-axis has an ordinate 0.
Question 8
The point of intersection of axes is
SOLUTION
Solution :Point of intersection of axes is called Origin.
Question 9
If any point P(x,y) is in the II Quadrant then the value of x is
SOLUTION
Solution :In the II Quadrant, the value of x is negative and the value of y is positive.
Question 10
Any point on x- axis is in the form (a, 0).
True
False
SOLUTION
Solution : A
Any point on x- axis is in the form (a, 0).