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AP EAPCET 20-Aug-2021 Shift 1 Paper
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© examsnet.com
Question : 58
Total: 160
If
tan
θ
1
,
tan
θ
2
=
−
a
2
b
2
, then the chord joining 2 points
θ
1
and
θ
2
one the ellipse
x
2
a
2
+
y
2
b
2
=
1
will subtend a right angle at ______
Focus
Center
end of major axis
end of minor axis
Validate
Solution:
Let two points be
A
(
a
cos
θ
1
b
sin
θ
1
)
and
(
a
cos
θ
2
,
b
sin
θ
2
right
)
.
O
:
origin
(
0
,
0
)
m
OA
=
b
sin
θ
1
a
cos
θ
1
=
b
a
tan
θ
1
m
OB
=
b
a
tan
θ
2
⇒
m
OA
×
m
OB
=
−
1
⇒
b
2
a
2
tan
θ
1
tan
θ
2
=
−
1
© examsnet.com
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