Plotting a Point

Q.

The point (8, 2) is at a distance of ____ units from the y-axis.

1. 8 units

2. 4 units

3. 2 units

4. 1.5 units

Q. Question 15
If the coordinates of the two points are P(-2, 3) and Q(-3, 5), the (Abscissa of P) - (Abscissa of Q) is

A) -5
B) 1
C) -1
D) -2

Q.

From Fig, choose the letter(s) that indicate the location of the points given below:



(i) (2, 1)

(ii) (0, 5)

(iii) (2, 0)

Also write

(iv) The coordinates of A.

(v) The coordinates of F. [4 MARKS]

Q. A(2, 6), B(6, 6) and C(6, 3) are the coordinates of a triangle. D, E and F are the reflection points of A, B and C respectively about X = 0. G, H and K are the reflection points of D, E and F respectively about Y = 1. The value of (sum of the y - coordinates of H and K) - (sum of the x - coordinates of G and H) is

1. 1
2. 2
3. 3
4. None of these

Q. The point of intersection of the altitudes of a triangle is called as centroid of a triangle.

1. False
2. True

Q.

$A\left(4,3\right),B\left(6,5\right),C\left(5,-2\right)$ are vertices of $∆ABC$. If $D$ is the midpoint of $BC$, find the co-ordinates of $D$. Find the co-ordinates of $P$ such that $AP:PD=2:3$. Find the area of $∆PBC$ and compare it with the area of $∆ABC$.

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.

The perpendicular bisector of a line segment AB passes through the origin. If the coordinates of A are (-2, 0). Find the coordinates of B.

1. (2, 0)

2. (0, 2)

3. (0, -2)

4. (-2, 0)

Q. Your school is located at A (5, 4) and a fruit store is located at B (5, -3) on the coordinate plane. Distance between your school and fruit store is

1. 1 unit
2. 7 units
3. 5 units
4. 9 units

Q.

A man starts his trip from the origin of the Cartesian plane. He goes 5 units east, 3 units north and then 10 units west. Find his present location on the Cartesian plane. In which quadrant does the location of the man lie?

1. (5, 3); First quadrant

2. (-5, -3); Third quadrant

3. (5, -3); Fourth quadrant

4. (-5, 3); Second quadrant

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

1. 0 units

2. -3 units

3. 3 units

4. can't be determined

Q.

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

Q.

The ordinate of all points on the x-axis is ____.

1. 0

2. 1

3. -1

4. Any number

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. Your school is located at A (5, 4) and a fruit store is located at B (5, -3) on the coordinate plane. Distance between your school and fruit store is

1. 5 units
2. 1 unit
3. 9 units
4. 7 units

Q.

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

1. (4, 0)

2. (3, 1)

3. (-3, 6)

4. (0, 3)

Q.

Which of the following points lie on the y-axis?

1. (2, 0)

2. (0, -4)

3. (5, -1)

4. (-4, 0)