Location of a Point on a Plane

Q. If the distance of a point is 3 units and 4 units from x-axis and y-axis respectively, then the coordinates of this point is

1. 
   (3, 4)
2. 
   (4, 3)
3. 
   (4, 0)
4. 
   (8, 3)

Q. The X-coordinate or abscissa of a point is its perpendicular distance from__________.

1. X-axis
2. Y-axis
3. Z -axis
4. origin

Q. In the given figure points A and B lie on the X axis. Find the distance AB.

1. 2.5 units
2. 3 units
3. 1 units
4. 2 units

Q. If the perpendicular distance of a point $Q$ from the $x$-axis is $3$ units, and the foot of its perpendicular to the $x$-axis lies on the negative direction of the $x$-axis, then the point $Q$ has:

1. $x$-coordinate = $-3$
2. $y$-coordinate = $3$ only
3. $y$-coordinate = $-3$ only
4. $y$-coordinate = $3$ or $-3$

Q. Find the distance of the point P (2, 3) from the x-axis.

Q. In the given figure (abscissa of A) + (ordinate of B) equals

1. 
   –1 unit
2. 
   2 unit
3. 
   3 unit
4. 
   1 unit

Q. On plotting the points $P(0,0),Q(2,0)andR(0,3)$and joining $PQ,QR,PR,$which of the following figure is obtained?

1. 
   Equilateral triangle
2. 
   Isosceles triangle
3. 
   Right-angled triangle
4. 
   Right-angled isosceles triangle

Q. In the given graph, the distance of the point P from the origin is equal to

1. 
   4 units
2. 
   5 units
3. 
   8 units
4. 
   $\sqrt{5}$ units

Q. See the given figure and write the coordinates of point B.

Q. On plotting of point $P(0,a),Q(0,–a),R(b,0)\text{and}S(–b,0)$, where $a,b$ are distinct real numbers. $PRQS$ is not always a/an

1. 
   Rhombus
2. 
   Parallelogram
3. 
   Kite
4. 
   Square

Q.

The distance of a point (0, –3) from the origin is

1. 0 units

2. -3 units

3. can't be determined

4. 3 units

Q. Distance of the point (-5, 4) from the y-axis is -5.

1. True
2. False

Q. The distance of the point P(2, 3) from the y-axis is:

1. 1
2. 3
3. 5
4. 2

Q.

What is the perpendicular distance of the point A(3, -2) from x axis and y axis

Q. The sum of the abscissa of A (5, -6) and the ordinate of B (-3, 8) is:

1. -3
2. 2
3. -9
4. 13

Q. How far is the point (4, 3) from the origin?

1. 4 units
2. 3 units
3. 5 units
4. 6 units

Q. Which of the following points will lie on the x-axis?

1. (0, -3)
2. (-3, 0)
3. (2, 0)
4. (0, 2)

Q. By using graph, the quadrant (in number) in which $(-2,5)$ lies is ____.

Q. Find the perpendicular distance of the point p(4, 3) from x axis

Q. Which of the following is the ordinate of all the points on the x-axis?

1. 0
2. -1
3. 1
4. 2

Q.

The perpendicular distance of a point P from the X-axis is 4 units and from the Y-axis is 5 units (in the positive direction). What are the coordinates of point P?

1. P(5, 4)

2. P(4, 5)

3. P(5, 5)

4. P(4, 4)

Q.

If (x, y) are the coordinates of any point P, at the same time if (x, y) = (y, x), which of following options must hold true?

1. xy = 1

2. x + y = 0

3. x and y are not related

4. x = y

Q. Which of the following graph correctly shows the plotting of point P (-x, y), where x and y > 0.

1. 
2. 
3. 
4. -

Q. find the perpendicular distance os the point A(5, 3) from y axis

Q.

The perpendicular bisector of a line segment AB passes through the origin. If the coordinates of A are (-2, 0) then the distance of point B from the origin is ___ units.

Q. The coordinates of a point on the x-axis are of the form (p-2, p+3). Then, the value of p is:

1. 0
2. 2
3. -2
4. -3

Q.

What is the ordinate in the point (-3, -4) ?

Q. Without plotting the point on a graph , state in which quadrant or on which axis do the following point lie.
$(-7,-12)$

Q.

Find the coordinates of the point which lies both on x and y-axis.
[2 MARKS]

Q. If the perpendicular distance of a point $Q$ from the $x$-axis is $3$ units, and the foot of its perpendicular to the $x$-axis lies on the negative direction of the $x$-axis, then the point $Q$ has:

1. $x$-coordinate = $-3$
2. $y$-coordinate = $3$ only
3. $y$-coordinate = $-3$ only
4. $y$-coordinate = $3$ or $-3$