Plotting a Point

Q.

A point lies on the x-axis at a distance of 9 units from the y-axis. What are its coordinates? What will be its coordinates if it lies on the y-axis at a distance of –9 units from the x-axis? [2 MARKS]

Q. The area of the triangle formed by the points P(0, 1) , Q(0, 5) and R(3, 4) is

1. 16 sq. unit
2. 8 sq. units
3. 4 sq. units
4. 6 sq. units

Q. The ordinate of any point on x –axis is

1. 0
2. -1
3. 1
4. Any number

Q. The coordinates of three vertices of a rectangle ABCD are shown in the given coordinate plane. What are the coordinates of the fourth vertex, D?

1. D(-3, -4)
2. D(-5, -3)
3. D(-3, -5)
4. D(-2, 4)

Q.

Plot the following points and check whether they are collinear or not:

$(0,0),(2,2),(5,5)$

Q. Question 1
Write the coordinates of each of the points P, Q, R, S, T and O from the figure.

Thinking process
(i) Firstly, draw the perpendicular lines from the point to the coordinates axes.
(ii) Further, measure the distance from intersecting points to the origin along with their sign.
(iii) Finally, write the x unit distance and y unit distance in a pair.

Q. The coordinates of three vertices of a rectangle ABCD are shown in the given coordinate plane. What are the coordinates of the fourth vertex, D?

1. D(-3, -5)
2. D(-5, -3)
3. D(-2, 4)
4. D(-3, -4)

Q.

What is a circle?

Q. The abscissa of any point on y –axis is

1. 1
2. 0
3. - 1
4. Any number

Q.

Write whether the following statements are True or False? Justify your answer.

A point lies on $y-$axis at a distance of $2$ units from the $x-$axis. Its coordinates are $(2,0)$.

1. True
2. False

Q. The vertices of a quadrilateral is shown in the below graph. Find the perimeter of the quadrilateral.

1. 32 units
2. 30 units
3. 22 units
4. 18 units

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.

A point is at a distance of 3 units from the x-axis and 5 units from the y-axis. Which of the following are the coordinates of the point?

1. (5, 3)

2. (–5, 3)

3. (–3, –5)

4. (3, 5)

Q.

The location of coordinates A and B in the form (x, y) are (___, ___) and (___, ___) respectively.

Q. The area of the triangle formed by the points A(2, 0), B(6, 0) and C(4, 6) is

1. 24 sq. units
2. 12 sq. units
3. 10 sq. units
4. None of these

Q. Find the correct sequence of the following steps to mark the point P(4, -3).

Step 1: Starting from the origin O, count 4 units on the positive x - axis.

Step 2: mark the corresponding point as A.

Step 3 : move in the negative direction of the y - axis from A and count 3 units.

Step 4: mark the corresponding point as P.

1. 3, 4, 1, 2
2. 1, 3, 2, 4
3. 1, 2, 3, 4
4. 3, 1, 4, 2

Q. The mirror image of point P(2, 3) taken about the origin is point P'. Find the coordinates of P'.

1. $(-\sqrt{7},-3)$
2. $(-2,-\sqrt{7})$
3. $(-2,-3)$
4. (-3, -2)

Q. Points (-5, 0) and (6, 0) lie

1. On x -axis
2. On y -axis
3. In first quadrant
4. In second quadrant

Q.

If we start at (0, 0) on a rectangular coordinate system and move 5 right and 3 up, where are we?

1. (-5, 3)

2. (5, -3)

3. (5, 3)

4. (-5, -3)

Q. Every point on the number line is called __________.

1. an integer
2. a number
3. a coordinate
4. a rational number

Q. Question 2
Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the X-axis and one of the vertices lies In the third quadrant.

Q. The distance of a point P(x, y) is always same from the origin(0, 0). The point P lies on a ___.

1. Square
2. Circle
3. Rectangle
4. Parallelogram

Q.

The distance of point (0, a) where a is any real number, from the Y-axis is___.

Q. In the Jane Vaniloca's chocolate factory, different shapes of chocolates are made. Which of the following shapes is located at the coordinates, (4, 6)?

1. Circle
2. Square
3. Triangle
4. Cylinder

Q. The area of the triangle formed by the points P(0, 1) , Q(0, 5) and R(3, 4) is

1. 6 sq. units
2. 4 sq. units
3. 16 sq. unit
4. 8 sq. units

Q.

An ant struggling for food finds it at the north-east corner of the Cartesian plane. It moves 3 units east from the origin and then 3 units north. Find the location of food.

1. (3, 3)

2. (-3, -3)

3. (3, -3)

4. (-3, 3)

Q.

Which of the following point lies on the y-axis?

1. (0, 3)

2. (4, 0)

3. (3, 1)

4. (-3, 6)

Q.

Q. The vertices of a quadrilateral is shown in the below graph. Find the perimeter of the quadrilateral.

1. 30 units
2. 32 units
3. 18 units
4. 22 units

Q. In the Jane Vaniloca's chocolate factory, different shapes of chocolates are made. Which of the following shapes is located at the coordinates, (4, 6)?

1. Circle
2. Square
3. Triangle
4. Cylinder