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Tardigrade
Question
Mathematics
If the circle x2 + y2 - 6x - 8y + (25 - a2) = 0 touches the axis of x, then a equals.
Q. If the circle
x
2
+
y
2
−
6
x
−
8
y
+
(
25
−
a
2
)
=
0
touches the axis of
x
, then a equals.
4431
191
JEE Main
JEE Main 2013
Conic Sections
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A
0
22%
B
±
4
78%
C
±
5
0%
D
±
6
0%
Solution:
x
2
+
y
2
−
6
x
+
8
y
+
(
25
−
a
2
)
=
0
Radius
=
4
9
+
16
+
(
25
−
a
2
)
⇒
a
=
±
4