# Plotting a Point

## Trending Questions

**Q.**Question 1

Point (-3, 5 ) lies in the

A) First quadrant

B) Second quadrant

C) Third quadrant

D) Fourth quadrant

Thinking process

(i) Firstly, check the sign of each coordinate of a point.

(ii) If both coordinates x and y has the same positive sign, i.e(+ .+), then the point lies in the first quadrant.

(iii) If x coordinate has the negative sign and y-coordinate has positive sign i.e( -, +), then the point lies in the second quadrant.

(iv) if both coordinate x and y has negative sign i.e ( -, -) then the point lies in the third quadrant.

(v) if x coordinate has a positive sign and y-coordinate has negative sign i.e (+, -), then the point lies in the fourth quadrant.

**Q.**Which of the following coordinates correctly represent the vertices of a square of side 4 cm with its centre located at

(0, 0)?

- A(–4, 4), B(4, 4), C(4, –4), and

D(–4, 4) - A(2, 2), B(2, 2), C(2, 2), and

D(2, 2) - A(0, 2), B(2, 2), C(2, 0), and

D(0, 0) - A(2, 2), B(–2, 2), C(–2, –2), and

D(2, -2)

**Q.**

Ordinate of all points on the x-axis is ________ .

**Q.**

Mirror image of point (1, 2) with respect to the y-axis is ______.

(1, -2)

(-1, 2)

(-1, -2)

(0, 2)

**Q.**

How do you find out the mirror image of a point?

**Q.**

The distance of any point from the x-axis is called the x-coordinate. State whether the statement is true (T) or false (F).

- True
- False

**Q.**

In which quadrant or on which axis do the point $(-2,4)$ lie?

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

- 24 sq. units
- 10 sq. units
- None of these
- 12 sq. units

**Q.**

Points (-4, 0) and (7, 0) lie

in second quadrant

in first quadrant

on x-axis

y-axis

**Q.**Question 3

Point ( 0, -7) lies

Thinking process

(i) Firstly, check whether any coordinate of the given point is zero or not.

(a) If x-coordinate is zero and y-coordinate is non-zero, then the point lies on the y-axis.

(b) If y-coordinate is zero and x-coordinate is non-zero, then the point lies on the x-axis.

(c) If x-coordinate and y-coordinate are zero, the point lies on the origin ( or on both the axes.)

(ii) If none of the coordinates is zero, then the point lies in any one of the four quadrants.

A) On the x-axis

B) In the second quadrant

C) On the y-axis

D) In the fourth quadrant

**Q.**Question 16

If p(5, 1), Q(8, 0), R(0, 4), S(0, 5) and O(0, 0) are plotted on the graph paper, then the poin(s) on the X-axis is/are

A) P and R

B) R and S

C) Only Q

D) Q and O

**Q.**Question 11

The point P(-2, 4) lies on a circle of radius 6 and centre (3, 5).

**Q.**Four distinct points (a, 1/a) , (b, 1/b) , (c, 1/c) , (d, 1/d) are lie on a circle then the value of abcd i

**Q.**

(i) (5, $-$3) (ii) ($-$7, $-$12) (iii) ($-$23, 4) (iv) ($-$9, 5) (v) (0, $-$3) (vi) ($-$6, 0)

**Q.**Question 14

If P(-1, 1), Q(3, - 4 ), R(1 - 1), S(- 2, -3) and T(-4, 4) are plotted on the graph paper, then the points(s) in the fourth quadrant is /are:

A) P and T

B) Q and R

C) Only S

D) P and R

**Q.**On a graph paper, plot the points A(2, 3), B(6, $-$1) and C(0, 5). If those points are collinear then draw the line which includes them. Write the co-ordinates of the points at which the line intersects the X-axis and the Y-axis.

**Q.**

Draw a triangle ABC where vertices A, B and C are (0, 2), (2, -2), and (-2, 2) respectively.

**Q.**The coordinates of a point which lies on the Y-axis and at a distance of 7 units from x-axis in the negative direction of y-axis is ____

- (0, -7)
- (0, 7)
- (0, 9)
- (0, -9)

**Q.**

Draw the graph of the line 3x+4y=18. With the help of graph, find the value of y when x=2. (show this point on the graph)

**Q.**

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

can't be determined

3 units

0 units

-3 units

**Q.**

A point with both of its coordinates positive lies in which quadrant?

I quadrant

II quadrant

III quadrant

IV quadrant

**Q.**The abscissa of a point is positive in the

(a) First and Second quadrant

(b) Second and Third quadrant

(c) Third and Fourth quadrant

(d) Fourth and First quadrant

**Q.**A rectangle whose length and breadth are 4 and 3 units, respectively, has a vertex at the origin. The longer side lies on the x-axis and one of the vertices lies in the second quadrant. Find the coordinates of the vertices.

- (0, 0), (4, 0), (4, 3), and (0, 3)
- (0, 0), (-3, 0), (-3, 4), and (0, 4)
- (0, 0), (-4, 0), (-4, 3), and (0, 3)
- (0, 0), (3, 0), (3, 4), and (0, 4)

**Q.**The coordinates of a point P which lies on the circle x2+y2-4x+4y+7=0 in such a way that OP is minimum

**Q.**

Find the ordinate of the point whose abscissa is -5 and lies on the x-axis.

**Q.**

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

x and y are not related

x+y=0

x=y

xy=1

**Q.**Points (−4, 0) and (7, 0) lie

(a) on x-axis

(b) y-axis

(c) in first quadrant

(d) In second quadrant

**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?

x+y=0

x=y

xy=1

x and y are not related

**Q.**

The point (0, 4) lies

On Y axis

In I Quadrant

On X axis

**Q.**If the point (x, y) is at equal distance from the x-axis and y-axis, then the relationship between x and y can be

x=2y

x=3y

2x+y=0

x=y