Question 1 - x-intercepts and intersection of polynomial graphs Practice | Prasnya
Prasnya
Continue with Google
Practice path
Dashboard
Exam
Qualifier / Quiz 1
Go to subject
Mathematics 1
Go to chapter
Week 4
Go to topic
Graphs of Polynomials - Graphs of Polynomials
Go to subtopic
x-intercepts and intersection...
Question 1
00:00
Est. 2 min
Marks:
+3.00
0.00
Passage
Ramesh and Kamlesh reside at
(
4
,
10.5
)
(4,10.5)
and
(
4
,
−
10.5
)
(4,-10.5)
respectively. They planned a road trip. Ramesh decided to go by road
r
1
(
x
)
=
0.1
(
x
−
5
)
(
x
−
7
)
(
x
−
9
)
(
x
−
11
)
r_1(x)=0.1(x-5)(x-7)(x-9)(x-11)
, and Kamlesh chose the road
r
2
(
x
)
=
0.1
(
x
−
5
)
2
(
x
−
7
)
(
x
−
9
)
(
x
−
11
)
r_2(x)=0.1(x-5)^2(x-7)(x-9)(x-11)
. They decided to meet where these roads intersect. Based on this information, answer the given sub-questions.
Question
Choose the set of correct option(s).
Comprehension
Medium Difficulty
05 June 2022
A
The number of
x
x
-intercepts of
r
1
(
x
)
r_1(x)
and
r
2
(
x
)
r_2(x)
are same.
B
The number of intersection points of
r
1
(
x
)
r_1(x)
and
r
2
(
x
)
r_2(x)
can be found using
r
1
(
x
)
=
r
2
(
x
)
r_1(x)=r_2(x)
.
C
The number of intersection points of
r
1
(
x
)
r_1(x)
and
r
2
(
x
)
r_2(x)
can be found using
r
1
(
x
)
=
−
r
2
(
x
)
r_1(x)=-r_2(x)
.
D
The number of
x
x
-intercepts of
r
1
(
x
)
r_1(x)
and
r
2
(
x
)
r_2(x)
are
4
4
.