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JEE Main Math Class 11 Coordinate Geometry Part 6 Questions
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© examsnet.com
Question : 12
Total: 33
Let
A
be a square matrix of order 2 such that
|
A
|
=
2
and the sum of its diagonal elements is -3 . If the points
(
x
,
y
)
satisfying
A
2
+
x
A
+
y
I
=
0
lie on a hyperbola, whose transverse axis is parallel to the
x
-axis, eccentricity is
e
and the length of the latus rectum is
ℓ
, then
e
4
+
ℓ
4
is equal to _______
[4 Apr 2024 Shift 1]
Validate
Solution:
👈: Video Solution
NTA Ans. (25)
Given
|
A
|
=
2
trace
A
=
−
3
and
A
2
+
x
A
+
y
I
=
0
⇒
x
=
3
,
y
=
2
so, information is incomplete to determine eccentricity of hyperbola (e) and length of latus rectum of hyperbola
(
ℓ
)
© examsnet.com
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