1.
The ordinate of all the points in the x-axis is:
Correct Answer
A. 0
Explanation
All angles in a triangle add up to 180 degrees.
2.
If the x-coordinate of a point is zero, then this point lies:
Correct Answer
D. Y-axis
Explanation
If the x-coordinate of a point is zero, it means that the point lies on the y-axis. This is because the y-axis is the vertical line where the x-coordinate is always zero. Therefore, any point with a zero x-coordinate will lie on the y-axis.
3.
If the perpendicular distance of a point P from the x-axis is 7 units and the foot of the perpendicular lies on the negative direction of the x-axis, then the point P has:
Correct Answer
A. Y-coordinate = 7 or –7 only
Explanation
The y-coordinate of a point represents its distance from the x-axis. Since the foot of the perpendicular lies on the negative direction of the x-axis, the point P can have a y-coordinate of either 7 or -7.
4.
If P (–3, 8), Q (7, –5), R (–3, –8) and T (–7, 9) are four points in the Cartesian plane. Then the point(s) in the third quadrant is/are:
Correct Answer
C. R only
Explanation
The point R (-3, -8) is the only point in the third quadrant. The third quadrant is defined as the area where both the x-coordinate and y-coordinate are negative. In this case, both the x-coordinate (-3) and y-coordinate (-8) of point R are negative, placing it in the third quadrant. Therefore, the correct answer is R only.
5.
The coordinates of any point on the y-axis are of the form (0, k), where |k| is the distance of the point from the:
Correct Answer
B. X-axis
Explanation
The coordinates of any point on the y-axis are of the form (0, k), where |k| is the distance of the point from the x-axis. This is because the y-axis is a vertical line that passes through the origin, and the x-coordinate of any point on the y-axis is always 0. Therefore, the distance of any point on the y-axis from the x-axis is measured along the x-axis, which is the x-axis itself.
6.
Which point lies to the right of Y-axis?
Correct Answer
B. (2,1)
Explanation
The point (2,1) lies to the right of the Y-axis because the X-coordinate is positive. In a Cartesian coordinate system, the Y-axis is the vertical line that divides the plane into two halves. The positive X-axis is to the right of the Y-axis, and the negative X-axis is to the left. Since the X-coordinate of (2,1) is positive, it is to the right of the Y-axis.
7.
Fox x=3, y= 2, u= 9, v= -13 the point ( x+y, u+v) lies in the ----- quadrant
Correct Answer
D. IV quadrant
Explanation
The point (x+y, u+v) can be calculated as (3+2, 9+(-13)) which equals (5, -4). In the coordinate plane, the positive x-axis is to the right and the positive y-axis is upwards. Since the x-coordinate is positive and the y-coordinate is negative, the point lies in the IV quadrant.
8.
The point at which the two coordinate axes meet is called the
Correct Answer
C. Origin
Explanation
The point at which the two coordinate axes meet is called the origin. This is the starting point or reference point for measuring distances on a coordinate plane. It is represented by the coordinates (0,0) and is where the x-axis and y-axis intersect.
9.
In the given figure, coordinates of P are
Correct Answer
C. (-2,4)
Explanation
The correct answer is (-2,4) because it is the only option that matches the given coordinates. The coordinates of P are (-2,4) as indicated in the figure.
10.
On joining the points (0,0), (0,2), (2,2) and (2,0) we obtain a
Correct Answer
A. Square
Explanation
The given points form a square because all sides are equal in length and all angles are right angles. A square is a type of quadrilateral where all sides are equal and all angles are right angles.