EduSahara™ Worksheet

Question 1

1.

The slope of x-axis is

(i)

-1
(ii)

0
(iii)

1
(iv)

undefined
(v)

90

Question 2

2.

The slope of y-axis is

(i)

-1
(ii)

1
(iii)

undefined
(iv)

0
(v)

90

Question 3

3.

The slope of the line joining the points
(

4

,

(

−

6

)

)
and
(

1

,

3

)
is

(i)

-3
(ii)

-2
(iii)

-4
(iv)

-5
(v)

-1

Question 4

4.

The slope of the line perpendicular to the line passing through
the points
(

(

−

1

)

,

(

−

7

)

)
and
(

0

,

6

)
is

(i)

(
-1
11
)
(ii)

(
-1
13
)
(iii)

(
-3
13
)
(iv)

1
13
(v)

(
-1
15
)

Question 5

5.

Two straight lines are parallel if and only if their slopes are

(i)

0
(ii)

undefined
(iii)

unequal
(iv)

1
(v)

equal

Question 6

6.

Two straight lines are perpendicular if and only if the product of their slopes is

(i)

undefined
(ii)

0
(iii)

1
(iv)

-1
(v)

90

Question 7

7.

The slope of a line parallel to the line
(

x

−

9

y

+

46

)

=

0
is

(i)

(
-1
9
)
(ii)

1
9
(iii)

1
11
(iv)

1
3
(v)

1
7

Question 8

8.

The slope of a line perpendicular to the line
(

−

14

x

+

6

y

+

20

)

=

0
is

(i)

(
-1
7
)
(ii)

(
-5
7
)
(iii)

(
-3
7
)
(iv)

(
-1
3
)
(v)

(
-3
5
)

Question 9

9.

The equation of x-axis is

(i)

x

=

0
(ii)

y

=

0
(iii)

y

=

x
(iv)

y

=

1
(v)

x

=

1

Question 10

10.

The equation of y-axis is

(i)

x

=

0
(ii)

y

=

1
(iii)

y

=

x
(iv)

x

=

1
(v)

y

=

0

Question 11

11.

The slope of any line parallel to x-axis is

(i)

90
(ii)

-1
(iii)

1
(iv)

undefined
(v)

zero

Question 12

12.

The slope of any line parallel to y-axis is

(i)

90
(ii)

zero
(iii)

-1
(iv)

1
(v)

undefined

Question 13

13.

The ratio of coefficients of x and y in the equations of any two parallel lines is

(i)

1
(ii)

not proportional
(iii)

not same
(iv)

same
(v)

2

Question 14

14.

Two non-vertical lines are parallel if and only if their slopes are

(i)

not same
(ii)

not proportional
(iii)

same
(iv)

1
(v)

2

Question 15

15.

Any line parallel to x-axis is

(i)

a horizontal line
(ii)

an oblique line
(iii)

a curved line
(iv)

a vertical line

Question 16

16.

Any line parallel to y-axis is

(i)

an oblique line
(ii)

a vertical line
(iii)

a horizontal line
(iv)

a curved line

Question 17

17.

A line which is neither parallel to x-axis nor y-axis is

(i)

a vertical line
(ii)

a horizontal line
(iii)

an oblique line
(iv)

a curved line

Question 18

18.

Which of the following are true?

a)	Slope of any line parallel to x-axis is zero
b)	Slope of any line parallel to y-axis is zero
c)	Slope of any line parallel to y-axis is not defined
d)	Slope of any line parallel to x-axis is not defined

(i)

{d,c}
(ii)

{a,c}
(iii)

{b,a}
(iv)

{b,d,a}
(v)

{b,c,a}

Question 19

19.

Which of the following are true ?

a)	Equations of two parallel lines differ in the constant term only, coefficients of x and y will be same
b)	Equations of two parallel lines differ in the constant and coefficients of x and y will not be same
c)	Equations of two parallel lines have the same constant and coefficients of x and y will not be same
d)	Equations of two parallel lines have the same constant and coefficients of x and y will be same

(i)

{c,a}
(ii)

{b,a}
(iii)

{a}
(iv)

{d,b,a}

Question 20

20.

Equation of the line passing through a given point
(

x

1

,

y

1

)
and having slope
m
is

a)

(

y

−

x

1

) =

m

(

x

−

y

1

)

b)

(

y

−

y

1

) =

m

(

x

−

x

1

)

c)

(

y

−

y

1

)

m

= (

x

−

x

1

)

d)

None of the above

(i)

{b}
(ii)

{c,b}
(iii)

{d,a,b}
(iv)

{a,b}

Question 21

21.

Equation of a straight line which is parallel to x-axis (where k is a constant) is

(i)

y

=

k
(ii)

x

=

k
(iii)

x

=

0
(iv)

x

=

y
(v)

y

=

0

Question 22

22.

Equation of a straight line which is parallel to y-axis (where k is a constant) is

(i)

x

=

0
(ii)

y

=

0
(iii)

y

=

k
(iv)

x

=

k
(v)

x

=

y

Question 23

23.

The slope of the line
a

x

+

b

y

+

c

= 0
is

(i)

c
(ii)

-a

b
(iii)

a
(iv)

-b

a
(v)

b

Question 24

24.

In equation of the line
y

=

m

x

+

c
, the slope is

(i)

undefined
(ii)

m
(iii)

x
(iv)

y
(v)

c

Question 25

25.

Find the slope of the displayed line

(i)

4
(ii)

1
(iii)

7
(iv)

3
(v)

5

Question 26

26.

The equation of the line in slope intercept form is

a)

y

=

c

x

+

m

b)

x

=

m

y

+

c

c)

x

=

c

y

+

m

d)

y

=

m

x

+

c

(i)

{b,d}
(ii)

{c,a,d}
(iii)

{d}
(iv)

{a,d}

Question 27

27.

The equation of the line in point slope form is

a)

(

y

−

y

1

)

m

= (

x

−

x

1

)

b)

(

y

−

x

1

) =

m

(

x

−

y

1

)

c)

(

y

−

y

1

) =

m

(

x

−

x

1

)

d)

(

y

1

−

y

)

m

= (

x

1

+

x

)

(i)

{d,a,c}
(ii)

{c}
(iii)

{a,c}
(iv)

{b,c}

Question 28

28.

The equation of the line passing through the points
(

x

1

,

y

1

)
and
(

x

2

,

y

2

)
is

a)

(

x

−

x

1

) =

x

2

−

x

1

y

2

−

y

1

(

y

−

y

1

)

b)

(

x

−

x

1

) =

x

2

+

x

1

y

2

+

y

1

(

y

−

y

1

)

c)

(

y

−

y

1

) =

y

2

−

y

1

x

2

−

x

1

(

x

−

x

1

)

d)

(

y

−

y

1

) =

y

2

+

y

1

x

2

+

x

1

(

x

−

x

1

)

(i)

{a,c}
(ii)

{b,a}
(iii)

{b,d,a}
(iv)

{b,c,a}
(v)

{d,c}

Question 29

29.

The equation of the x-axis is

a)

y

=

1

b)

x

=

1

c)

y

=

0

d)

x

=

0

e)

x

=

y

(i)

{d,e,c}
(ii)

{b,c}
(iii)

{a,c}
(iv)

{c}

Question 30

30.

The slope of the line passing through the points
(

x

1

,

y

1

)
and
(

x

2

,

y

2

)

(i)

x

2

+

x

1

y

2

+

y

1
(ii)

x

2

−

x

1

y

2

−

y

1
(iii)

x

2

+

y

1

y

2

+

x

1
(iv)

y

2

−

y

1

x

2

−

x

1
(v)

x

2

−

y

1

y

2

−

x

1

Question 31

31.

The slope of a line is the tangent of the angle made by the line with the

(i)

positive x-axis
(ii)

negative y-axis
(iii)

negative x-axis
(iv)

positive y-axis

Assignment Key