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Joint Entrance Examination
Mathematics
Straight Lines and Pair of Straight Lines
Question 206
Question 206 of 303
Easy
MCQ
If the
x
x
x
-intercept of some line
L
L
L
is double as that of the line,
3
x
+
4
y
=
12
3x+4y=12
3
x
+
4
y
=
12
and the
y
y
y
-intercept of
L
L
L
is half as that of the same line, then the slope of
L
L
L
is:
A
-3
B
−
3
8
-\dfrac38
−
8
3
C
−
3
2
-\dfrac32
−
2
3
D
−
3
16
-\dfrac3{16}
−
16
3
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Official solution
3
x
+
4
y
=
12
3x+4y=12
3
x
+
4
y
=
12
has
x
x
x
-intercept 4 and
y
y
y
-intercept 3.
L
L
L
:
x
x
x
-intercept
=
8
=8
=
8
,
y
y
y
-intercept
=
3
2
=\dfrac32
=
2
3
: \[\frac x8+\frac y{3/2}=1 \implies \frac x8+\frac{2y}3=1 \implies 3x+16y=24\] Slope
=
−
3
16
=-\dfrac3{16}
=
−
16
3
.
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