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Practice each question, then open the answer or worked solution.
Point (–3, 5) lies in the
A. first quadrant
B. second quadrant
C. third quadrant
D. fourth quadrant
B. Second Quadrant
Explanation:
(-3,5) is of form (-x,y).
In the point (-3, 5), the abscissa is negative, and the ordinate is positive. So, it lies in the second quadrant.
Hence, (B) is the correct option.
Signs of the abscissa and ordinate of a point in the second quadrant are, respectively
A. +, +
B. –, –
C. –, +
D. +, –
C. –, +
Explanation:
Signs of the abscissa and ordinate of a point in the second quadrant is –, +.
Hence, (C) is the correct option.
Point (0, –7) lies
A. on the x-axis
B. in the second quadrant
C. on the y-axis
D. in the fourth quadrant
C. on the y-axis
Explanation:
Since the abscissa is 0, Point (0, –7) lies on the y-axis.
Hence, (C) is the correct option.
Point (– 10, 0) lies
A. on the negative direction of the x-axis
B. on the negative direction of the y-axis
C. in the third quadrant
D. in the fourth quadrant
A. on the negative direction of the x-axis
Explanation:
Point (– 10, 0) lies on the negative direction of the x-axis.
Hence, (A) is the correct option.
Abscissa of all the points on the x-axis is
A. 0
B. 1
C. 2
D. any number
D. any number
Explanation:
Abscissa of all the points on the x-axis can be any number.
Hence, (D) is the correct option.
Ordinate of all points on the x-axis is
A. 0
B. 1
C. – 1
D. any number
A. 0
Explanation:
The ordinate of all the points on the x-axis is 0.
Hence, (A) is the correct option.
The point at which the two coordinate axes meet is called the
A. abscissa
B. ordinate
C. origin
D. quadrant
C. origin
Explanation:
The points at which the two coordinate axes meet is called the origin.
Hence, (C) is the correct option.
A point both of whose coordinates are negative will lie in
A. I quadrant
B. II quadrant
C. III quadrant
D. IV quadrant
C. III quadrant
Explanation:
A point whose both of the coordinates are negative will lie in the III quadrant.
Hence, (C) is the correct option.
Points (1, – 1), (2, – 2), (4, – 5), (– 3, – 4)
A. lie in II quadrant
B. lie in III quadrant
C. lie in IV quadrant
D. do not lie in the same quadrant
D. do not lie in the same quadrant
Explanation:
Points (1, – 1), (2, – 2), (4, – 5) lie in IV quadrant and (– 3, – 4) lie in III quadrant.
Hence, (D) is the correct option.
If y coordinate of a point is zero, then this point always lies
A. in I quadrant
B. in II quadrant
C. on x-axis
D. on y-axis
C. on x-axis
Explanation:
We know that if the y-coordinate of a point, i.e., the ordinate is zero, then this point always lies on
x-axis.
Hence, (C) is the correct option.