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Byju's Answer
Standard XII
Mathematics
Condition for Two Lines to Be Parallel
The area of t...
Question
The area of the quadrilateral formed by the lines
y
=
2
x
+
3
,
y
=
0
,
x
=
4
and
x
=
6
is
A
26
sq. units
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B
24
sq. units
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C
25
sq. units
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D
29
sq. units
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Solution
The correct option is
D
26
sq. units
y
=
2
x
+
3
,
y
=
0
6
∫
4
(
2
x
+
3
)
d
x
=
2
x
2
2
|
6
4
+
3
x
|
6
4
=
20
+
3
(
2
)
=
26
s
q
u
n
i
t
s
.
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Similar questions
Q.
The area of the triangle formed by the lines y = x, x = 6 and y = 0 is
(a) 36 sq. units
(b) 18 sq. units
(c) 9 sq. units
(d) 72 sq. units