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Test Index
JEE Main Math Class 11 Straight Lines and Pair of Straight Lines 2 Questions
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© examsnet.com
Question : 38
Total: 88
If the point
(
α
,
7
√
3
3
)
lies on the curve traced by the mid-points of the line segments of the lines
x
cos
θ
+
y
s
i
n
θ
=
7
,
θ
∈
(
0
,
π
2
)
between the co-ordinates axes, then
α
is equal to
[12-Apr-2023 shift 1]
7
√
3
-7
7
−
7
√
3
Validate
Solution:
pt
(
α
,
7
√
3
3
)
x
cos
θ
+
y
s
i
n
θ
=
7
x
- intercept
=
7
cos
θ
y
−
intercept
=
7
s
i
n
θ
A
:
(
7
cos
θ
,
0
)
B
:
(
0
,
7
s
i
n
θ
)
Locus of mid pt M : (h, k)
h
=
7
2
cos
θ
,
k
=
7
2
s
i
n
θ
7
2
s
i
n
θ
=
7
√
3
3
⇒
s
i
n
θ
=
√
3
2
⇒
θ
=
π
3
α
=
7
2
cos
θ
=
7
© examsnet.com
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