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Joint Entrance Examination
Mathematics
Straight Lines and Pair of Straight Lines
Question 41
Question 41 of 303
Easy
MCQ
A line passing through the point
A
(
9
,
0
)
A(9,0)
A
(
9
,
0
)
makes an angle of
30
∘
{30}^{\circ }
30
∘
with the positive direction of
x
x
x
-axis. If this line is rotated about A through an angle of
15
∘
{15}^{\circ }
15
∘
in the clockwise direction, then its equation in the new position is :
A
y
3
+
2
+
x
=
9
\frac{y}{\sqrt{\sqrt{3}}+2}+x=9
3
+
2
y
+
x
=
9
B
x
3
+
2
+
y
=
9
\frac{x}{\sqrt{\sqrt{3}}+2}+y=9
3
+
2
x
+
y
=
9
C
x
3
−
2
+
y
=
9
\frac{x}{\sqrt{\sqrt{3}}-2}+y=9
3
−
2
x
+
y
=
9
D
y
3
−
2
+
x
=
9
\frac{y}{\sqrt{\sqrt{3}}-2}+x=9
3
−
2
y
+
x
=
9
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Official solution
\[\mathrm{Eq}^{\mathrm{n}}: y-0=\tan 15^{\circ}(x-9) \Rightarrow y=(2-\sqrt{3})(x-9)\]
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