4 lines and 5 circle are lie in a plane....

4 lines and 5 circle are lie in a plane. Then all maximum no of points of intersection in this plane is -

A

60

B

72

C

62

D

None of these

Text Solution

Verified by Experts

The correct Answer is:

4

Two circles intersect at two distinct point. Two straight line intersect at two distinct points. One circle and one straight line intersect at two distinct points. Then the total numbers of points of intersections are as follows.
`{:("Number of ways selection", "Point of intersection"),("Two straight line :" .^(5)C_(2), .^(5)C_(2)xx 1 = 10),("Two cicles":.^(4)C_(2), .^(4)C_(2) xx 2=12),("One line and one circle": .^(5)C_(1) xx.^(4)C_(1), .^(5)C_(1)xx .^(4)C_(1) xx 2 = 40),("Total", 62):}`

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The maximum number of points of intersection of three lines in a plane is

A

0

B

1

C

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D

3

Maximum number of points of intersection of four lines on a plane is :

A

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B

6

C

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D

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Maximum number of points of intersection of four lines on a plane is :

A

4

B

6

C

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D

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