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Two variable chords AB and BC of a circl...

Two variable chords AB and BC of a circle `x^(2)+y^(2)=a^(2)` are such that `AB=BC=a`. M and N are the midpoints of AB and BC, respectively, such that the line joining MN intersects the circles at P and Q, where P is closer to AB and O is the center of the circle.
`/_ OAB` is

A

`30^(@)`

B

`60^(@)`

C

`45^(@)`

D

`15^(@)`

Text Solution

Verified by Experts

The correct Answer is:
2

From the figure, since `Delta OAB` is an equilateral triangle, `/_ OAB = 60^(@)`
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CENGAGE-CIRCLE -Exercise (Comprehension)
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  7. Give two circles intersecting orthogonally having the length of common...

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  9. In the given figure, there are two circles with centers A and B. The c...

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  10. In the given figure, there are two circles with centers A and B. The c...

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  11. In the given figure, there are two circles with centers A and B. The c...

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  13. Let each of the circles S(1)-=x^(2)+y^(2)+4y-1=0 S(1)-= x^(2)+y^(2...

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  14. Let each of the circles S(1)-=x^(2)+y^(2)+4y-1=0 S(1)-= x^(2)+y^(2...

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  16. The line x + 2y = a intersects the circle x^2 + y^2 = 4 at two distinc...

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  17. Let A,B, and C be three sets such that A={(x,y)|(x)/(cos theta)=(y)/...

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  18. Let A,B, and C be three sets such that A={(x,y)|(x)/(cos theta)=(y)/...

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