Plotting a Point

Q.

Any point on x-axis is in the form (a, 0).

1. True

2. False

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.

The locus of the point which moves such that the ratio of its distance from two fixed points in the plane is always a constant $K(<1)$ is

1. A hyperbola

2. An ellipse

3. A straight line

4. A circle

Q.

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?

1. (5, 0)

2. (-5, 0)

3. (0, -5)

4. (0, 5)

Q.

If Point A' (3, 6) is the image of Point A(1, 2) under a dilation with respect to the origin, what is the constant of dilation?

1. -1

2. 3

3. 2

4. 1

Q.

If set A = {1, 2, 3}, set B = {4, 5}, then find A $\times$ B.

1. {(1, 2), (1, 3), (2, 3), (4, 5)}

2. {(2, 1), (2, 3), (2, 4), (2, 5), (4, 4), (5, 5)}

3. {(1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)}

4. {(5, 1), (5, 2), (5, 3), (4, 1), (4, 2), (4, 3)}

Q.

Mark a Green ‘A’ at the intersection of 3^rd street and 1^st main. A purple ‘B’ at the intersection of 4^th street and 2^nd main and Red 'C' where the river meets the first street. [3 MARKS]

Q.

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

Q. The coordinates of the reflection of the point P, across the Y-axis are

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

Q. Given below are two rectangles ABCD and EFGH drawn on the coordinate plane with coordinate values shown at all the vertices. Which of the following sets of transformations has been applied to get rectangle EFGH from ABCD?

1. Counterclockwise rotation of ${90}^o$, translation of 6 units up, and dilation about (1, 4) with a scale factor of 2.5
2. Translation of 6 units right, translation of 6 units up, and dilation about (1, 4) with a scale factor of 2.5
3. Clockwise rotation of ${270}^o$, translation of 6 units right, and dilation about (1, 4) with scale factor of 2.25
4. Reflection along the x-axis, dilation with a scale factor of 4.5, and reflection along the y-axis

Q. 3, 6, 6, 12, 9, ?, 12

Q.

The perpendicular bisector of a line segment AB passes through the origin and (0, 1). If the coordinates of A are (-2, 0) then the distance of point B from the origin is ___ units.

Q.

Abscissa of all the points on the x-axis is

1. 1

2. 2

3. 0

4. any number

Q.

Which of the following coordinates lies on the line 2x-3y = 12?

1. (3, -2)

2. (1, 2)

3. (3, 2)

4. (1, 3)

Q. The given figure is translated as a whole. If point C is translated to the point C'(4, –2), what will the coordinates of point A' be?

1. A'(6, –3)
2. A'(–6, 3)
3. A'(–6, 4)
4. A'(6, –4)

Q. The given parallelogram is dilated with a scale factor of less than 1, centered around the origin. Which of the following statement is true regarding the above statement?

1. The length of the orange line may be 6 cm
2. The length of the black line may 5 cm
3. $\angle P={53}^{\circ }$
4. All the above

Q. Plot the coordinates of a square field having coordinates as (3, 4), (5, 4), (a, b), (c, d) and find the possible values of a, b, c, and d respectively.

1. a = 5, c = 3, b = d = 6
2. a = 5, b = 3, c = d = 6
3. a = 3, b = 5, c = d = 6
4. a = 4, c = 3, b = d = 6

Q. A 6m x 6m square is plotted on a graph at a scale, 1 unit = 2m. The correct set of coordinates for the figure on the graph is

1. Set 3
2. Set 4
3. Set 1
4. Set 2

Q. Plot the coordinates of a square field having coordinates as (3, 4), (5, 4), (a, b), (c, d) and find the possible values of a, b, c, and d respectively.

1. a = 5, b = 3, c = d = 6
2. a = 5, c = 3, b = d = 6
3. a = 4, c = 3, b = d = 6
4. a = 3, b = 5, c = d = 6

Q. (i) Draw the graph (straight line) given by equation x − 3y = 18.

(ii) If the straight line drawn passes through the points (m, −5) and (6, n); find the values of m and n.

Q. The given parallelogram is dilated with a scale factor of less than 1, centered around the origin. Which of the following statement is true regarding the above statement?

1. The length of the orange line may be 6 yd
2. The length of the black line may be 5 yd
3. $\angle P={53}^{\circ }$
4. All the above

Q.

The abscissa of all the points on the x-axis is?

1. 0

2. 1

3. 2

4. Any number

Q. how to solve 4^2/3 and 4^9/4

Q. Which of the following points are identical to atleast one of their reflections across the X and the Y axes?

A(3, 2) ; B(4, 0) ; C(0, 5) ; D(0, 0)

1. All A, B, C and D.
2. Only B, C and D
3. Only B and C.
4. Only D.

Q. Find the angle between X-axis and the line joining the points (3, −1) and (4, −2).

Q.

Check if the point lies on X-axis or Y-axis A $(0,-3)$

Q. The top-right corner of a square is at the point (3, 3). If the length of each side of the square is 6 units, then the other three coordinates will be:
(Measure the sides of the square along the gridlines)

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