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Byju's Answer
Standard XII
Mathematics
Sequence
The maximum n...
Question
The maximum number of points into which
4
circles and
4
straight lines intersect is
A
51
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B
50
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C
49
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D
None of these
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Solution
The correct option is
A
50
4
lines intersect each other in
=
4
C
2
=
6
points.
4
circles intersect in
=
4
P
2
=
12
ways
Each line cuts
4
circles in
8
points. So
4
lines cut
4
circles in
32
points.
So required number of points
=
6
+
12
+
32
=
50
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