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Question 35 - Week 1 Practice | Prasnya
Q35
00:00
16 Oct 2022
Q35.
NOTE: Enter your answer to the nearest integer. Let
A
A
A
be the set of all points on the curve defined by the function
f
1
(
x
)
=
x
2
−
x
−
30
f_1(x)=x^2-x-30
f
1
​
(
x
)
=
x
2
−
x
−
30
and let
B
B
B
be the set of all points on the curve
f
2
f_2
f
2
​
defined by the reflection of the curve
f
1
f_1
f
1
​
with respect to
X
X
X
-axis. If
C
C
C
is the set of all points on the axes (i.e.,
x
x
x
and
y
y
y
axis) then find the cardinality of set
D
D
D
where
D
=
(
A
∩
B
)
∪
(
A
∩
C
)
∪
(
B
∩
C
)
D=(A\cap B)\cup(A\cap C)\cup(B\cap C)
D
=
(
A
∩
B
)
∪
(
A
∩
C
)
∪
(
B
∩
C
)
.
Your Answer
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Details
Q35
00:00
16 Oct 2022
Q35.
NOTE: Enter your answer to the nearest integer. Let
A
A
A
be the set of all points on the curve defined by the function
f
1
(
x
)
=
x
2
−
x
−
30
f_1(x)=x^2-x-30
f
1
​
(
x
)
=
x
2
−
x
−
30
and let
B
B
B
be the set of all points on the curve
f
2
f_2
f
2
​
defined by the reflection of the curve
f
1
f_1
f
1
​
with respect to
X
X
X
-axis. If
C
C
C
is the set of all points on the axes (i.e.,
x
x
x
and
y
y
y
axis) then find the cardinality of set
D
D
D
where
D
=
(
A
∩
B
)
∪
(
A
∩
C
)
∪
(
B
∩
C
)
D=(A\cap B)\cup(A\cap C)\cup(B\cap C)
D
=
(
A
∩
B
)
∪
(
A
∩
C
)
∪
(
B
∩
C
)
.
Your Answer
Save
Check
Details
