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JEE Main Math Class 11 Straight Lines and Pair of Straight Lines 2 Questions
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© examsnet.com
Question : 2
Total: 88
Consider a triangle
ABC
having the vertices
A
(
1
,
2
)
,
B
(
α
,
β
)
and
C
(
γ
,
δ
)
and angles
∠
ABC
=
π
6
and
∠
BAC
=
2
π
3
. If the points
B
and
C
lie on the line
y
=
x
+
4
, then
α
2
+
γ
2
is equal to
.
.
.
.
.
.
.
[4 Apr 2024 Shift 2]
Your Answer:
Validate
Solution:
👈: Video Solution
Equation of line passes through point
A
(
1
,
2
)
which makes angle
π
6
from
y
=
x
+
4
is
y
−
2
=
1
±
tan
π
6
1
∓
tan
π
6
(
x
−
1
)
y
−
2
=
√
3
±
1
√
3
∓
1
(
x
−
1
)
α
2
+
γ
2
=
(
4
+
√
3
1
+
√
3
)
2
+
(
4
−
√
3
1
−
√
3
)
2
α
2
+
γ
2
=
14
© examsnet.com
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