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Byju's Answer
Standard XII
Mathematics
Relation between AM,GM,HM for 2 Numbers
Interval of r...
Question
Interval of r for which x2 + y2 = r2 and x2 +y2 -6x-8y +9 0 cut at two distinct points is
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Q.
The circles
x
2
+
y
2
−
10
x
+
16
=
0
and
x
2
+
y
2
=
r
2
intersect each other at two distinct points, if
Q.
A
: lf the circles
x
2
+
y
2
=
a
2
,
x
2
+
y
2
−
6
x
−
8
y
+
9
=
0
touch externally then
a
=
1
R
: Two circles with centres
C
1
,
C
2
and radii
r
1
,
r
2
respectively touch externally iff
C
1
C
2
=
r
1
+
r
2
Q.
The circle through origin and cutting
x
2
+
y
2
+
6
x
−
15
=
0
x
2
+
y
2
−
8
y
+
10
=
0
orthogonally is
Q.
The equation of the circle passing through the origin which cuts off intercept of length 6 and 8 from the axes is
(a) x
2
+ y
2
− 12x − 16y = 0
(b) x
2
+ y
2
+ 12x + 16y = 0
(c) x
2
+ y
2
+ 6x + 8y = 0
(d) x
2
+ y
2
− 6x − 8y = 0
Q.
From the point A (0, 3) on the circle
x
2
+
4
x
+
(
y
−
3
)
2
=
0
a chord AB is drawn and extended to a point M such that AM =2AB. The equation of the locus of M is
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