Plotting Points in Cartesian Plane

Q.

Assertion: The points (-3, 5) and (5, -3) are at different positions in the coordinate plane.

Reason: The position of (x, y) in the Cartesian plane is different from the position of (y, x).

Which of the following is correct?

1. Both assertion and reason are true and the reason is the correct explanation of assertion.

2. Both assertion and reason are true but the reason is not the correct explanation of assertion.

3. The assertion is true but the reason is false.

4. The assertion is false but the reason is true.

Q.

Plot the points A (4, 0), B (4, 4) and C (0, 4) on the graph. Join OA, AB, BC, and CO, where O is the origin. Name the figure so formed and measure its sides.

Q. Plot the points (-3, 3) (2, 3) (-6, -1) (5, -1) in the coordinate plane. Join them in order. What type of geometrical shape is formed?

1. Square
2. Rectangle
3. Trapezium
4. Rhombus

Q. Plot the points E(4, 2), I (0, 2), L (−1, 3) and N (2, 0) on the Cartesian plane. Join these points in order and name the shape thus obtained.

Q. Which of the following lies in the second quadrant?

1. (-3, -2)
2. (-3, 2)
3. (-5, -6)
4. (-5, 6)

Q.

Read the figure. On the basis of this figure match the Column-I with Column-II.

$\begin{array}{cc}\text{Column-I}& \text{Column-II}\\ \text{(A) Co-ordinates of point C is}& \left(p\right)-5\\ \text{(B) The abscissa of point E is}& \left(q\right)(0,0)\\ \text{(C) The ordinate of the point F is}& \left(r\right)0\\ \text{(D) Co-ordinates of point O is}& \left(s\right)(-5,3)\end{array}$
Choose the correct option:

1. $\left(A\right)\to s;\left(B\right)\to p;\left(C\right)\to q;\left(D\right)\to r$

2. $\left(A\right)\to p;\left(B\right)\to q;\left(C\right)\to s;\left(D\right)\to r$

3. $\left(A\right)\to q;\left(B\right)\to p;\left(C\right)\to r;\left(D\right)\to s$

4. $\left(A\right)\to s;\left(B\right)\to r;\left(C\right)\to p;\left(D\right)\to q$

Q. 4. Find the co ordinate of the circumcentre of the triangle whose vertices are a(2, 3 )b 3, 4 c 6, 8

Q. For $x=2,y=3,u=4,andv=-3$, the point $(x+y,u+v)$ will lie in which quadrant?

1. I Quadrant
2. II Quadrant
3. III Quadrant
4. IV Quadrant

Q. In the given figure , Find the distance AB.

1. 1 unit
2. 3 units
3. 4 units
4. 2 units

Q. What is the Distance D(P, Q) in the given figure?

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

Q. Find the point on x-axis which is equidistant from points A(−1, 0) and B(5, 0). [CBSE 2013C]

Q.

The point A(-4, -3) lies in the___ quadrant.

1. IV

2. III

3. I

4. II

Q.

If x ≠ y, (x, y) ≠ (y, x) and (x, y) = (y, x), if x = y.

1. True

2. False

Q.

From given points name abcissab and ordinates

(2, 5) (-7, -6) (4, -5) (-7, 9) (0, 0) and (3, -6)

Q. In the given figure, the Distance D(P, Q) is:

1. $y_1+y_2$
2. $y_2-y_1$
3. $y_1-y_2$
4. $y_1^2-y_2^2$

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

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

Q. Given below are some points, with their co-ordinates. Answer the following questions.
P(4, 3) Q ($-$3, 2), R(5, 1) S(0, $-$4)

(i) What is the x-co-ordinate of point P?
(ii) What is the y-co-ordinate of point Q?
(iii) What is the y-co-ordinate of point R?
(iv) What is the x-co-ordinate of point S?
(v) What is the y-co-ordinate of point S?

Q.

Match the two columns Column-II give quadrant for points given in Column-II.
$\begin{array}{cc}\text{Column-I}& \text{Column-II}\\ \text{(A) (4, 4)}& \text{(p) I quadrant}\\ \text{(B) (-3, 7)}& \text{(q) II quadrant}\\ \text{(C) (2, -3)}& \text{(r) III quadrant}\\ \text{(D) (-1, -3)}& \text{(s) IV quadrant}\end{array}$
Choose the correct option :

1. $\left(A\right)\to p;\left(B\right)\to q;\left(C\right)\to r;\left(D\right)\to s$

2. $\left(A\right)\to p;\left(B\right)\to r;\left(C\right)\to s;\left(D\right)\to q$

3. $\left(A\right)\to p;\left(B\right)\to q;\left(C\right)\to s;\left(D\right)\to r$

4. $\left(A\right)\to r;\left(B\right)\to s;\left(C\right)\to p;\left(D\right)\to q$

Q. Find the point on the x-axis which is equidistant from the points (2, −5) and (−2, 9).

Q. The point on x-axis which is equidistant from (5, 9) and (-4, 6) is

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