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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

`15^(@)`

B

`30^(@)`

C

`45^(@)`

D

`60^(@)`

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The correct Answer is:
D
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ARIHANT MATHS-CIRCLE -Exercise (Passage Based Questions)
  1. Consider the circle S: x^2 + y^2 - 4x-1=0 and the line L: y = 3x - 1. ...

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  2. Consider the circle S: x^2 + y^2 - 4x-1=0 and the line L: y = 3x - 1. ...

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  3. P is a variable point of the line L = 0. Tangents are drawn to the cir...

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  4. P is a variable point on the line L=0. Tangents are drawn to the circl...

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  5. P is a variable point on the line L=0. Tangents are drawn to the circl...

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  6. Equation of the circumcircle of a triangle formed by the lines L(1)=0,...

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  7. Equation of the circumcircle of a triangle formed by the lines L(1)=0,...

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  8. Equation of the circumcircle of a triangle formed by the lines L(1)=0,...

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  9. Give two circles intersecting orthogonally having the length of common...

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  10. Give two circles intersecting orthogonally having the length of common...

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  11. Given two circles intersecting orthogonally having the length of commo...

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  12. Consider the two circles C(1):x^(2)+y^(2)=a^(2)andC(2):x^(2)+y^(2)=b^(...

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  13. Consider the two circles C(1):x^(2)+y^(2)=a^(2)andC(2):x^(2)+y^(2)=b^(...

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  14. Consider the two circles C(1):x^(2)+y^(2)=a^(2)andC(2):x^(2)+y^(2)=b^(...

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  15. Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such t...

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  16. Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such t...

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  17. Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such t...

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  18. t(1),t(2),t(3) are lengths of tangents drawn from a point (h,k) to the...

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  19. t(1),t(2),t(3) are lengths of tangents drawn from a point (h,k) to the...

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  20. t(1),t(2),t(3) are lengths of tangents drawn from a point (h,k) to the...

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