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Joint Entrance Examination
Mathematics
Straight Lines and Pair of Straight Lines
Question 252
Question 252 of 303
Medium
MCQ
If \[\left( {a,{a^2}} \right)\] falls inside the angle made by the lines \[y = {x \over 2},\]
x
>
0
x > 0
x
>
0
and
y
=
3
x
,
y = 3x,
y
=
3
x
,
x
>
0
,
x > 0,
x
>
0
,
then a belong to :
A
\[\left( {0,{1 \over 2}} \right)\]
B
\[\left( {3,\infty } \right)\]
C
\[\left( {{1 \over 2},3} \right)\]
D
\[\left( {-3,-{1 \over 2}} \right)\]
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Official solution
Clearly for point
P
,
P,
P
,
a
2
−
3
a
<
0
{a^2} - 3a < 0
a
2
−
3
a
<
0
and \[{a^2} - {a \over 2} > 0 \Rightarrow {1 \over 2} < a < 3\]
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