Cartesian Plane

Q. What is the perpendicular distance of the point Q (3, -4) from y-axis?

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

Q.

The slope of the straight line which does not intersect the $x$-axis is equal to

1. $\frac{1}{2}$

2. $1$

3. $\sqrt{3}$

4. $0$

Q.

What is the name of each part of the plane formed by x-axis and y-axis?

Q. If 3x + 7y =14 express y in terms of x check whether m(3, -2) is a point on the given line

Q. The coordinates of point P in the given figure are

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

Q.

Which of these points does not lie on the graph of y = -x + 3?

1. 2, 2

2. 9, -6

3. 3, 0

4. -2, 5

Q.

Find the value of a And b, if the line 5bx-3ay=30 passes through (-1, 0) and (0, -3)

Q.

Find the slope of the line $2y+5x=7$.

1. $\frac{-5}{2}$

2. $\frac{5}{2}$

3. 5

4. -5

Q.

The two intersecting axes or fixed perpendicular lines divide the Cartesian plane into a fixed number of parts.

What are the parts called? Also, what's that 'fixed number'?

1. Quadrilaterals, 3 parts

2. Bisection, 2 parts

3. Quadrants, 4 parts

4. Planes, 5 parts

Q.

The two axes divide the Cartesian plane into __ quadrants. (Answer in numeric 1/2/3/4)

Q.

What information can be inferred from the equation of the graph, 2y+6=12

1. None of these

2. Graph || to x axis and passing through y = 3

3. Graph || to y axis and passing through x = 3

4. Graph || to x axis and passing through y = - 3

Q. What will be the slope if a line is perpendicular to y-axis?

1. -1
2. 1
3. 0
4. Not defined

Q. Sign of ordinate and abscissa of a point in the second quadrant are ______ and ______ respectively.

1. Positive, Negative
2. Positive, Positive
3. Negative, Positive
4. Negative, Negative

Q. If an ant starts at (0, 0) on a rectangular coordinate system and move 5 units west and 3 units north, it reaches

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

Q.

The system of representing points on a plane using two numbers is called as ___ system.

Q.

Which of these points does not lie on the graph of y = -x + 3?

1. 2, 2

2. -2, 5

3. 3, 0

4. 9, 6

Q.

The value of the x and y intercept of the following graph is

1. 25 and 25

2. 15 and 10

3. 5 and 20

4. 0 and 25

Q. What is the slope of line 3x - 1.5y + 4 = 0?

1. 1.5
2. 3
3. 4
4. 2

Q. Which of the following point will satisfy the equation 3x + y = 5 ?

1. (2, -1)
2. (-1, -2)
3. (2, 3)
4. (-1, -8)

Q. On catesian plane, in which quadrant or on which axis do each of the points (3, -1), (-1, 0), (1, 2) and (-3, -5) lie?

Q. Which of the following points does not lie on the line 3y = 2x − 5?
(a) (7, 3)
(b) (1, −1)
(c) (−2, −3)
(d) (−5, 5)

Q. (ii) 2x + y = 5; 3x $-$ y = 5

Q. Question 5
Without plotting the points indicate the quadrant in which they will lie if
i. the ordinate is 5 and abscissa is - 3.
ii. the abscissa is - 5 and ordinate is - 3.
iii. the abscissa is -5 and ordinate is 3.
iv. the ordinate is 5 and abscissa is 3.

Q.

In the above figure X and Y are the two axes and O is the origin. The two axes X and Y divide the plane into 4 parts. Which of the 4 parts is the III quadrant?

1. A

2. B

3. C

4. D

Q.

Find the value of k, if 2x + 3y = 13 passes through the point (2k, 3k)

__

Q. 2x $-$ 3y =6

Q.

Find the point on 3x - y = 7 whose abscissa is -2

Q. In the given graph, find the y-intercept of the line.

1. 2
2. -3
3. 3
4. -2

Q. draw the graphs of 3x+2y=6 and 2x+y=4. shade the region bounded by the lines and the x-axis.

Q. The point $(5,25)$ satisfies the equation $y=5x.$

1. False
2. True